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V. I.   Lenin

Lessons of the moscow uprising.

Published: Proletary , No. 2, August 29, 1906. Published according to the Proletary text. Source: Lenin Collected Works , Progress Publishers, 1965 , Moscow, Volume 11 , pages  171-178 . Translated: Transcription\Markup: R. Cymbala Public Domain: Lenin Internet Archive (2000). You may freely copy, distribute, display and perform this work; as well as make derivative and commercial works. Please credit “Marxists Internet Archive” as your source. • README

The publication of the book Moscow in December 1905 (Moscow, 1906) could not have been more timely. It is an urgent task of the workers’ party to assimilate the lessons of the December uprising. Unfortunately, this book is like a barrel of honey spoilt by a spoonful of tar: most interesting material—despite its incompleteness—and incredibly slovenly, incredibly trite conclusions. We shall deal with these conclusions on another occasion [1] ; at present we shall turn our attention to the burning political question of the day, to the lessons of the Moscow uprising.

The principal forms of the December movement in Moscow were the peaceful strike and demonstrations, and these were the only forms of struggle in which the vast majority of the workers took an active part. Yet, the December action in Moscow vividly demonstrated that the general strike, as an independent and predominant form of struggle, is out of date, that the movement is breaking out of these narrow bounds with elemental and irresistible force and giving rise to the highest form of struggle—an uprising.

In calling the strike, all the revolutionary parties, all the Moscow unions recognised and even intuitively felt that it must inevitably grow into an uprising. On December 6 the Soviet of Workers’ Deputies resolved to “strive to transform the strike into an armed uprising”. As a matter of fact, however, none of the organisations were prepared for this. Even the Joint Council of Volunteer Fighting Squads [2] spoke ( on December 9 !) of an uprising as of something remote, and it is quite evident that it had no hand in or control of   the street fighting that took place. The organisations failed to keep pace with the growth and range of the movement.

The strike was growing into an uprising, primarily as a result of the pressure of the objective conditions created after October. A general strike could no longer take the government unawares: it had already organised the forces of counter-revolution, and they were ready for military action. The whole course of the Russian revolution after October, and the sequence of events in Moscow in the December days, strikingly confirmed one of Marx’s profound propositions: revolution progresses by giving rise to a strong and united counter-revolution, i.e., it compels the enemy to resort to more and more extreme measures of defence and in this way devises ever more powerful means of attack. [3]

December 7 and 8: a peaceful strike, peaceful mass demonstrations. Evening of the 8th: the siege of the Aquarium. [4] The morning of the 9th: the crowd in Strastnaya Square is attacked by the dragoons. Evening: the Fiedler building [5] is raided. Temper rises. The unorganised street crowds, quite spontaneously and hesitatingly, set up the first barricades.

The 10th: artillery fire is opened on the barricades and the crowds in the streets. Barricades are set up more deliberately, and no longer in isolated cases, but on a really mass scale. The whole population is in the streets; all the main centres of the city are covered by a network of barricades. For several days the volunteer fighting units wage a stubborn guerrilla battle against the troops, which exhausts the troops and compels Dubasov [6] to beg for reinforcements. Only on December 15 did the superiority of the government forces become complete, and on December 17 the Semyonovsky Regiment [7] crushed Presnya District, the last stronghold of the uprising.

From a strike and demonstrations to isolated barricades. From isolated barricades to the mass erection of barricades and street fighting against the troops. Over the heads of the organisations, the mass proletarian struggle developed from a strike to an uprising. This is the greatest historic gain the Russian revolution achieved in December 1905; and like all preceding gains it was purchased at the price of enormous sacrifices. The movement was raised from a   general political strike to a higher stage. It compelled the reaction to go to the limit in its resistance, and so brought vastly nearer the moment when the revolution will also go to the limit in applying the means of attack. The reaction cannot go further than the shelling of barricades, buildings and crowds. But the revolution can go very much further than the Moscow volunteer fighting units, it can go very, very much further in breadth and depth. And the revolution has advanced far since December. The base of the revolutionary crisis has become immeasurably broader—the blade must now be sharpened to a keener edge.

The proletariat sensed sooner than its leaders the change in the objective conditions of the struggle and the need for a transition from the strike to an uprising. As is always the case, practice marched ahead of theory. A peaceful strike and demonstrations immediately ceased to satisfy the workers; they asked: What is to be done next? And they demanded more resolute action. The instructions to set up barricades reached the districts exceedingly late, when barricades were already being erected in the centre of the city. The workers set to work in large numbers, but even this did not satisfy them ; they wanted to know: what is to be done next?— they demanded active measures. In December, we, the leaders of the Social-Democratic proletariat, were like a commander-in-chief who has deployed his troops in such an absurd way that most of them took no active part in the battle. The masses of the workers demanded, but failed to receive, instructions for resolute mass action.

Thus, nothing could be more short-sighted than Plekhanov’s view, seized upon by all the opportunists, that the strike was untimely and should not have been started, and that “they should not have taken to arms”. On the contrary, we should have taken to arms more resolutely, energetically and aggressively; we should have explained to the masses that it was impossible to confine things to a peaceful strike and that a fearless and relentless armed fight was necessary. And now we must at last openly and publicly admit that political strikes are inadequate; we must carry on the widest agitation among the masses in favour of an armed uprising and make no attempt to obscure this question by talk about   “preliminary stages”, or to befog it in any way. We would be deceiving both ourselves and the people if we concealed from the masses the necessity of a desperate, bloody war of extermination, as the immediate task of the coming revolutionary action.

Such is the first lesson of the December events. Another lesson concerns the character of the uprising, the methods by which it is conducted, and the conditions which lead to the troops coming over to the side of the people. An extremely biased view on this latter point prevails in the Right wing of our Party. It is alleged that there is no possibility of fighting modern troops; the troops must become revolutionary. Of course, unless the revolution assumes a mass character and affects the troops, there can be no question of serious struggle. That we must work among the troops goes without saying. But we must not imagine that they will come over to our side at one stroke, as a result of persuasion or their own convictions. The Moscow uprising clearly demonstrated how stereotyped and lifeless this view is. As a matter of fact, the wavering of the troops, which is inevitable in every truly popular movement, leads to a real fight for the troops whenever the revolutionary struggle be comes acute. The Moscow uprising was precisely an example of the desperate, frantic struggle for the troops that takes place between the reaction and the revolution. Dubasov himself declared that of the fifteen thousand men of the Moscow garrison, only five thousand were reliable. The government restrained the waverers by the most diverse and desperate measures: they appealed to them, flattered them, bribed them, presented them with watches, money, etc.; they doped them with vodka, they lied to them, threatened them, confined them to barracks and disarmed them, and those who were suspected of being least reliable were removed by treachery and violence. And we must have the courage to confess, openly and unreservedly, that in this respect we lagged be hind the government. We failed to utilise the forces at our disposal for such an active, bold, resourceful and aggressive fight for the wavering troops as that which the government waged and won. We have carried on work in the army and we will redouble our efforts in the future ideologically to “win over” the troops. But we shall prove to be miserable   pedants if we forget that at a time of uprising there must also be a physical struggle for the troops.

In the December days, the Moscow proletariat taught us magnificent lessons in ideologically “winning over” the troops, as, for example, on December 8 in Strastnaya Square, when the crowd surrounded the Cossacks, mingled and fraternised with them, and persuaded them to turn back. Or on December 10, in Presnya District, when two working girls, carrying a red flag in a crowd of 10,000 people, rushed out to meet the Cossacks crying: “Kill us! We will not surrender the flag alive!” And the Cossacks were disconcerted and galloped away, amidst the shouts from the crowd: “Hurrah for the Cossacks!” These examples of courage and heroism should be impressed forever on the mind of the proletariat.

But here are examples of how we lagged behind Dubasov. On December 9, soldiers were marching down Bolshaya Serpukhovskaya Street singing the Marseillaise , on their way to join the insurgents. The workers sent delegates to meet them. Malakhov himself galloped at breakneck speed towards them. The workers were too late, Malakhov reached them first. He delivered a passionate speech, caused the soldiers to waver, surrounded them with dragoons, marched them off to barracks and locked them in. Malakhov reached the soldiers in time and we did not, although within two days 150,000 people had risen at our call, and these could and should have organised the patrolling of the streets. Malakhov surrounded the soldiers with dragoons, whereas we failed to surround the Malakhovs with bomb-throwers. We could and should have done this; and long ago the Social-Democratic press (the old Iskra [8] ) pointed out that ruthless extermination of civil and military chiefs was our duty during an uprising. What took place in Bolshaya Serpukhovskaya Street was apparently repeated in its main features in front of the Nesvizhskiye Barracks and the Krutitskiye Barracks, and also when the workers attempted to “withdraw” the Ekaterinoslav Regiment, and when delegates were sent to the sappers in Alexandrov, and when the Rostov artillery on its way to Moscow was turned back, and when the sappers were disarmed in Kolomna, and so on. During the uprising we proved unequal to our task in the fight for the wavering troops.

The December events confirmed another of Marx’s profound propositions, which the opportunists have forgotten, namely, that insurrection is an art and that the principal rule of this art is the waging of a desperately bold and irrevocably determined offensive . [9] We have not sufficiently assimilated this truth. We ourselves have not sufficiently learned, nor have we taught the masses, this art, this rule to attack at all costs. We must make up for this omission with all our energy. It is not enough to take sides on the question of political slogans; it is also necessary to take sides on the question of an armed uprising. Those who are opposed to it, those who do not prepare for it, must be ruthlessly dismissed from the ranks of the supporters of the revolution, sent packing to its enemies, to the traitors or cowards; for the day is approaching when the force of events and the conditions of the struggle will compel us to distinguish between enemies and friends according to this principle. It is not passivity that we should preach, not mere “waiting” until the troops “come over”. No! We must proclaim from the house tops the need for a bold offensive and armed attack, the necessity at such times of exterminating the persons in command of the enemy, and of a most energetic fight for the wavering troops.

The third great lesson taught by Moscow concerns the tactics and organisation of the forces for an uprising. Military tactics depend on the level of military technique. This plain truth Engels demonstrated and brought home to all Marxists. [10] Military technique today is not what it was in the middle of the nineteenth century. It would be folly to contend against artillery in crowds and defend barricades with revolvers. Kautsky was right when he wrote that it is high time now, after Moscow, to review Engels’s conclusions, and that Moscow had inaugurated “new barricade tactics ”. [11] These tactics are the tactics of guerrilla warfare. The organisation required for such tactics is that of mobile and exceedingly small units, units of ten, three or even two persons. We often meet Social-Democrats now who scoff whenever units of five or three are mentioned. But scoffing is only a cheap way of ignoring the new question of tactics and organisation raised by street fighting under the conditions imposed by modern military technique. Study carefully the story   of the Moscow uprising, gentlemen, and you will understand what connection exists between “units of five” and the question of “new barricade tactics”.

Moscow advanced these tactics, but failed to develop them far enough, to apply them to any considerable extent, to a really mass extent. There were too few volunteer fighting squads, the slogan of bold attack was not issued to the masses of the workers and they did not apply it; the guerrilla detachments were too uniform in character, their arms and methods were inadequate, their ability to lead the crowd was almost undeveloped. We must make up for all this and we shall do so by learning from the experience of Moscow, by spreading this experience among the masses and by stimulating their creative efforts to develop it still further. And the guerrilla warfare and mass terror that have been taking place throughout Russia practically without a break since December, will undoubtedly help the masses to learn the correct tactics of an uprising. Social-Democracy must recognise this mass terror and incorporate it into its tactics, organising and controlling it of course, subordinating it to the interests and conditions of the working-class movement and the general revolutionary struggle, while eliminating and ruthlessly lopping off the “hooligan” perversion of this guerrilla warfare which was so splendidly and ruthlessly dealt with by our Moscow comrades during the uprising and by the Letts during the days of the famous Lettish republics. [12]

There have been new advances in military technique in the very recent period. The Japanese War produced the hand grenade. The small-arms factories have placed automatic rifles on the market. Both these weapons are already being successfully used in the Russian revolution, but to a degree that is far from adequate. We can and must take advantage of improvements in technique, teach the workers’ detachments to make bombs in large quantities, help them and our fighting squads to obtain supplies of explosives, fuses and automatic rifles. If the mass of the workers takes part in uprisings in the towns, if mass attacks are launched on the enemy, if a determined and skilful fight is waged for the troops, who after the Duma, after Sveaborg and Kronstadt are wavering more than ever—and if we ensure participation   of the rural areas in the general struggle—victory will be ours in the next all-Russian armed uprising.

Let us, then, develop our work more extensively and set our tasks more boldly, while mastering the lessons of the great days of the Russian revolution. The basis of our work is a correct estimate of class interests and of the requirements of the nation’s development at the present juncture. We are rallying, and shall continue to rally, an increasing section of the proletariat, the peasantry and the army under the slogan of overthrowing the tsarist regime and convening a constituent assembly by a revolutionary government. As hitherto, the basis and chief content of our work is to develop the political understanding of the masses. But let us not forget that, in addition to this general, constant and fundamental task, times like the present in Russia impose other, particular and special tasks. Let us not become pedants and philistines, let us not evade these special tasks of the moment, these special tasks of the given forms of struggle, by meaningless references to our permanent duties, which remain unchanged at all times and in all circumstances.

Let us remember that a great mass struggle is approaching. It will be an armed uprising. It must, as far as possible, be simultaneous. The masses must know that they are entering upon an armed, bloody and desperate struggle. Contempt for death must become widespread among them and will ensure victory. The onslaught on the enemy must be pressed with the greatest vigour; attack, not defence, must be the slogan of the masses; the ruthless extermination of the enemy will be their task; the organisation of the struggle will become mobile and flexible; the wavering elements among the troops will be drawn into active participation. And in this momentous struggle, the party of the class-conscious proletariat must discharge its duty to the full.

[1] See pp. 189-93 of this volume.— Ed .

[2] The Joint Council of Volunteer Fighting Squads was formed in Moscow at the end of October 1905. It was created at the outset for the practical struggle against the Black Hundreds but it was kept in existence during the December uprising. It included representatives of the volunteer squads of the Moscow Committee of the R.S.D.L.P., the Moscow group of Social-Democrats, the Moscow committee of the Socialist-Revolutionary Party, and also of the volunteer squads bearing the names “Free District”, “University”, “Typographical” and “Caucasian”. The S.-R.-Menshevik majority   of the Joint Council was responsible for disorganising its activity; during the days of the December armed uprising it lagged behind the revolutionary events and was incapable of acting as the operational general staff of the uprising.

[3] Lenin cites the proposition put forward by Marx in his Class Struggles in France, 1848 to 1860 (see Marx and Engels, Selected Works , Vol. 1, Moscow, 1958, p. 139).

[4] During the evening of December 8 (21), 1905, soldiers and police cordoned off the “Aquarium” garden (at the Sadovo-Triumfalnaya Square) where a crowded meeting was being held in the theatre. Thanks to the selfless efforts of the workers’ volunteer squads guarding the meeting, bloodshed was avoided; those who possessed arms were enabled to escape through a broken fence, but the other participants in the meeting who went out through the gate were searched, beaten up and in many cases arrested.

[5] The Fiedler school building (at Chistiye Prudy) was regularly used for party meetings. During the evening of December 9 (22), 1905, when a meeting was being held there, it was surrounded by troops. The participants in the meeting, mostly members of volunteer squads, refused to surrender and barricaded themselves in the building. The troops opened fire using artillery and machine-guns. During the destruction of the building more than 30 persons were killed or wounded; 120 were arrested.

[6] Dubasov, F. V. (1845-1912)—Governor-General of Moscow in 1905-06, who directed the suppression of the armed uprising of the Moscow workers in December 1905.

[7] Semenovtsy —soldiers of the Semenovsky Guards Regiment who were sent from St. Petersburg to Moscow in December 1905 to suppress the uprising of the Moscow workers.

[8] Iskra ( The Spark )—the first all-Russian illegal Marxist revolutionary newspaper. It was founded by Lenin in 1900, and it played a decisive part in building the Marxist revolutionary party of the Russian working class. After the Party, at the Second Congress of the R.S.D.L.P. in 1903, had split into a revolutionary (Bolshevik) wing and an opportunist (Menshevik) wing, Iskra passed into the hands of the Mensheviks and became known as the “ new ” Iskra in contrast to Lenin’s old Iskra .

[9] This refers to Engels’s Revolution and Counter-Revolution in Germany, 1848 (New York Daily Tribune , 18.IX. 1852) which was published in 1851-52 as a series of articles in the newspaper New York Daily Tribune over the signature of Marx, who originally intended to write them but, being preoccupied with his economic researches, handed over the task to Engels. In writing the articles Engels   constantly consulted Marx, who also read them through, before they were sent to the press. Not until 1913, as a result of the publication of the correspondence between Marx and Engels, did it become known that the work had been written by Engels.

[10] Engels expounded this proposition on a number of occasions in his works, notably in Anti-Dühring .

[11] Lenin deals with this in more detail in his work “The Russian Revolution and the Tasks of the Proletariat” (see present edition, Vol. 10, pp. 141-42).

[12] In December 1905 various Lettish towns were seized by armed detachments of insurgent workers, agricultural labourers and peasants. Guerrilla war against the tsarist troops began. In January 1906 the uprising in Latvia was suppressed by punitive expeditions under tsarist generals.

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Eureka Math Grade 5 Module 4 Lesson 29 Answer Key

Engage ny eureka math 5th grade module 4 lesson 29 answer key, eureka math grade 5 module 4 lesson 29 problem set answer key.

Question 1. Divide. Rewrite each expression as a division sentence with a fraction divisor, and fill in the blanks. The first one is done for you.

Example: 2 ÷ 0.1 = 2 ÷ \(\frac{1}{10}\) = 20 There are 10 tenths in 1 whole. There are 20 tenths in 2 wholes.

a. 5 ÷ 0.1 There are ____ tenths in 1 whole. There are ____ tenths in 5 wholes.

Answer: There are 10 tenths in 1 whole. There are 50 tenths in 5 wholes.

Explanation: Given that 5 ÷ 0.1 which is 50. In that, there are 10 tenths in 1 whole and there are 50 tenths in 5 wholes.

There are ____ tenths in 1 whole. There are ____ tenths in 8 wholes.

Answer: There are 10 tenths in 1 whole. There are 8 tenths in 5 wholes.

Explanation: Given that 8 ÷ 0.1 which is 80. In that, there are 10 tenths in 1 whole and there are 80 tenths in 8 wholes.

c. 5.2 ÷ 0.1

There are tenths in 5 wholes. There are ____ tenths in 2 tenths. There are ____ tenths in 5.2.

Answer: There are 2 tenths in 2 tenths. There are 52 tenths in 5.2.

d. 8.7 ÷ 0.1 There are ____ tenths in 8 wholes. There are ____ tenths in 7 tenths. There are ____ tenths in 8.7.

Answer: There are 80 tenths in 8 wholes. There are 7 tenths in 7 tenths. There are 87 tenths in 8.7.

Explanation: Given that 8.7 ÷ 0.1 which is 87. In that, there are 80 tenths in 8 whole and there are 7 tenths in 7 tenths and there are 87 tenths in 8.7.

e. 5 ÷ 0.01 There are 100 hundredths in 1 whole. There are 500 hundredths in 5 wholes.

Answer: There are ____ hundredths in 1 whole. There are ____ hundredths in 5 wholes.

Explanation: Given that 5 ÷ 0.01 which is 500. In that, there are 100 hundredths in 1 whole and there are 500 hundredths in 5 wholes.

f. 8 ÷ 0.01 There are ____ hundredths in 1 whole. There are ____ hundredths in 8 wholes.

Answer: There are 100 hundredths in 1 whole. There are 800 hundredths in 8 wholes.

Explanation: Given that 8 ÷ 0.01 which is 800. In that, there are 100 hundredths in 1 whole and there are 800 hundredths in 8 wholes.

g. 5.2 ÷ 0.01 There are ____ hundredths in 5 wholes. There are ____ hundredths in 2 tenths. There are ____ hundredths in 5.2.

Answer: There are 500 hundredths in 1 whole. There are 20 hundredths in 5 tenths. There are 520 hundredths in 5.2.

Explanation: Given that 5.2 ÷ 0.01 which is 520. In that, there are 500 hundredths in 1 whole and there are 20 hundredths in 5 tenths and there are 520 hundredths in 5.2.

h. 8.7 ÷ 0.01 There are ____ hundredths in 8 wholes. There are ____ hundredths in 7 tenths. There are ____ hundredths in 8.7.

Answer: There are 800 hundredths in 8 whole. There are 70 hundredths in 7 tenths. There are 870 hundredths in 8.7.

Explanation: Given that 8.7 ÷ 0.01 which is 870. In that, there are 800 hundredths in 8 whole and there are 70 hundredths in 7 tenths and there are 870 hundredths in 8.7.

Question 2. Divide. a. 6 ÷ 0.1

Answer: 6 ÷ 0.1 = 60.

Explanation: The division of 6 ÷ 0.1 is 60.

b. 18 ÷ 0.1

Answer: 18 ÷ 0.1 = 180.

Explanation: The division of 18 ÷ 0.1 is 180.

c. 6 ÷ 0.01

Answer: 6 ÷ 0.01 = 600.

Explanation: The division of 6 ÷ 0.01 is 600.

d. 1.7 ÷ 0.1

Answer: 1.7 ÷ 0.1 = 17.

Explanation: The division of 1.7 ÷ 0.1 is 17.

e. 31 ÷ 0.01

Answer: 31 ÷ 0.01 = 3,100.

Explanation: The division of 31 ÷ 0.01 is 3,100.

f. 11 ÷ 0.01

Answer: 11 ÷ 0.01 = 1,100.

Explanation: The division of 11 ÷ 0.01 is 1,100.

g. 125 ÷ 0.1

Answer: 125 ÷ 0.1 = 1,250.

Explanation: The division of 125 ÷ 0.1 is 1,250.

h. 3.74 ÷ 0.01

Answer: 3.74 ÷ 0.01 = 374.

Explanation: The division of 3.74 ÷ 0.01 is 374.

i. 12.5 ÷ 0.01

Answer: 12.5 ÷ 0.01 = 1,250.

Explanation: The division of 12.5 ÷ 0.01 is 1,250.

Question 3. Yung bought $4.60 worth of bubble gum. Each piece of gum cost $0.10. How many pieces of bubble gum did Yung buy?

Answer: Yung bought 46 pieces of gum.

Explanation: Here, Yung bought $4.60 worth of bubble gum, and each piece of gum cost $0.10. So the number of pieces of bubble gum did Yung bought is $4.60 ÷ $0.10 = $46. So Yung bought 46 pieces of gum.

Question 4. Cheryl solved a problem: 84 ÷ 0.01 = 8,400. Jane said, “Your answer is wrong because when you divide, the quotient is always smaller than the whole amount you start with, for example, 6 ÷ 2 = 3 and 100 ÷ 4 = 25.” Who is correct? Explain your thinking.

Answer: Some examples are, 84 ÷ 1 = 84, 84 ÷ 10 = 8.4, 84 ÷ 0.1 = 840.

Explanation: Cheryl is correct and Jane is correct only some of the time and Cheryl can help Jane understand by showing some examples like, 84 ÷ 1 = 84, 84 ÷ 10 = 8.4, 84 ÷ 0.1 = 840.

Question 5. The U.S. Mint sells 2 ounces of American Eagle gold coins to a collector. Each coin weighs one-tenth of an ounce. How many gold coins were sold to the collector? Answer: The number of gold coins was sold to the collector is 20 gold coins.

Explanation: Here, U.S. Mint sells 2 ounces of American Eagle gold coins to a collector and each coin weighs one-tenth of an ounce, so the number of gold coins were sold to the collector is 2 ÷ 1/10 which is 2 ÷ 0.1 = 20 gold coins.

Eureka Math Grade 5 Module 4 Lesson 29 Exit Ticket Answer Key

Question 1. 8.3 is equal to _______ tenths _______ hundredths Answer: 83 tenths 830 hundredths.

Explanation: Given that the number is 8.3 which is equal to 83 tenths and 830 hundred.

Question 2. 28 is equal to _______ hundredths _______ tenths Answer: 2800 tenths 830 hundredths.

Question 3. 15.09 ÷ 0.01 = _______ Answer: 15.09 ÷ 0.01 = 1,509.

Explanation: Given that the equation is 15.09 ÷ 0.01 which is equal to 1,509.

Question 4. 267.4 ÷ \(\frac{1}{10}\) = _______ Answer: 267.4 ÷ \(\frac{1}{10}\) = 2,674

Explanation: Given that the equation is 267.4 ÷ \(\frac{1}{10}\) which is equal to 2,674.

Question 5. 632.98 ÷ \(\frac{1}{100}\) = _______ Answer: 632.98 ÷ \(\frac{1}{100}\) = 63,298

Explanation: Given that the equation is 632.98 ÷ \(\frac{1}{100}\) which is equal to 63,298.

Eureka Math Grade 5 Module 4 Lesson 29 Homework Answer Key

Question 1. Divide. Rewrite each expression as a division sentence with a fraction divisor, and fill in the blanks. The first one is done for you. a. 9 ÷ 0.1 There are ______ tenths in 1 whole. There are ______ tenths in 9 wholes.

Answer: There are 10 tenths in 1 whole. There are 90 tenths in 9 wholes.

Explanation: Given that 9 ÷ 0.1 which is 90. In that, there are 10 tenths in 1 whole and there are 90 tenths in 9 wholes.

b. 6 ÷ 0.1 There are ______ tenths in 1 whole. There are ______ tenths in 6 wholes.

Answer: There are 10 tenths in 1 whole. There are 60 tenths in 6 wholes.

Explanation: Given that 6 ÷ 0.1 which is 60. In that, there are 10 tenths in 1 whole and there are 60 tenths in 6 wholes.

c. 3.6 ÷ 0.1 There are ______ tenths in 3 wholes. There are ______ tenths in 6 tenths. There are ______ tenths in 3.6.

Answer: There are 30 tenths in 3 wholes. There are 6 tenths in 6 tenths. There are 36 tenths in 3.6.

Explanation: Given that 3.6 ÷ 0.1 which is 36. In that, there are 30 tenths in 3 wholes and there are 6 tenths in 6 tenths and there are 36 tenths in 3.6.

d. 12.8 ÷ 0.1 There are ______ tenths in 12 wholes. There are ______ tenths in 8 tenths. There are ______ tenths in 12.8.

Answer: There are 120 tenths in 12 wholes. There are 8 tenths in 8 tenths. There are 128 tenths in 12.8.

Explanation: Given that 12.8 ÷ 0.1 which is 128. In that, there are 120 tenths in 12 wholes and there are 8 tenths in 8 tenths and there are 128 tenths in 12.8.

e. 3 ÷ 0.1 There are ______ tenths in 1 whole. There are ______ tenths in 3 wholes.

Answer: There are 100 tenths in 1 whole. There are 300 tenths in 3 wholes.

Explanation: Given that 3 ÷ 0.1 which is 30. In that, there are 100 tenths in 1 whole and there are 300 tenths in 3 wholes.

f. 7 ÷ 0.1 There are ______ tenths in 1 whole. There are ______ tenths in 7 wholes.

Answer: There are 100 tenths in 1 whole. There are 700 tenths in 7 wholes.

Explanation: Given that 7 ÷ 0.1 which is 70. In that, there are 100 tenths in 1 whole and there are 700 tenths in 7 wholes.

g. 4.7 ÷ 0.01 There are ______ tenths in 4 wholes. There are ______ tenths in 7 tenths. There are ______ tenths in 4.7.

Answer: There are 400 tenths in 4 wholes. There are 70 tenths in 7 tenths. There are 470 tenths in 4.7.

Explanation: Given that 4.7 ÷ 0.01 which is 470. In that, there are 400 tenths in 4 wholes and there are 70 tenths in 7 tenths and there are 470 tenths in 4.7.

h. 11.3 ÷ 0.01 There are ______ tenths in 11 wholes. There are ______ tenths in 3 tenths. There are ______ tenths in 11.3.

Answer: There are 1100 tenths in 11 wholes. There are 30 tenths in 3 tenths. There are 1130 tenths in 11.3.

Explanation: Given that 11.3 ÷ 0.01 which is 1,130. In that, there are 1100 tenths in 11 wholes and there are 30 tenths in 3 tenths and there are 1130 tenths in 11.3.

Question 2. Divide. a. 2 ÷ 0.1

Answer: 2 ÷ 0.1 = 20.

Explanation: The division of 2 ÷ 0.1 is 20.

b. 23 ÷ 0.1

Answer: 23 ÷ 0.1 = 230.

Explanation: The division of 23 ÷ 0.1 is 230.

c. 5 ÷ 0.01

Answer: 5 ÷ 0.01 = 500.

Explanation: The division of 5 ÷ 0.01 is 500.

d. 7.2 ÷ 0.1

Answer: 7.2 ÷ 0.1 = 72.

Explanation: The division of 7.2 ÷ 0.1 is 72.

e. 51 ÷ 0.01

Answer: 51 ÷ 0.01 = 5,100.

Explanation: The division of 51 ÷ 0.01 is 5,100.

f. 31 ÷ 0.1

Answer: 31 ÷ 0.1 = 310.

Explanation: The division of 31 ÷ 0.1 is 310.

g. 231 ÷ 0.1

Answer: 231 ÷ 0.1 = 2,310.

Explanation: The division of 231 ÷ 0.1 is 2,310.

h. 4.37 ÷ 0.01

Answer: 4.37 ÷ 0.01 = 437.

Explanation: The division of 4.37 ÷ 0.01 is 437.

i. 24.5 ÷ 0.01

Answer: 24.5 ÷ 0.01 = 2,450.

Explanation: The division of 24.5 ÷ 0.01 is 2,450.

Question 3. Giovanna is charged $0.01 for each text message she sends. Last month, her cell phone bill included a $12.60 charge for text messages. How many text messages did Giovanna send? Answer: The number of text messages did Giovanna send is 1,260.

Explanation: Here, Giovanna is charged $0.01 for each text message she sends, and in last month, her cell phone bill included a $12.60 charge for text messages. So the number of text messages did Giovanna send is $12.60 ÷ $0.01 which is 1,260.

Question 4. Geraldine solved a problem: 68.5 ÷ 0.01 = 6,850. Ralph said, “This is wrong because a quotient can’t be greater than the whole you start with. For example, 8 ÷ 2 = 4 and 250 ÷ 5 = 50.” Who is correct? Explain your thinking. Answer: Geraldine was correct.

Explanation: Geraldine was correct. As quotient can be greater than the whole start. So Geraldine was correct.

Question 5. The price for an ounce of gold on September 23, 2013, was $1,326.40. A group of 10 friends decide to equally share the cost of 1 ounce of gold. How much money will each friend pay? Answer: Each friend pays $1326.40 ÷ 10 which is $132.64.

Explanation: Here, the price for an ounce of gold on September 23, 2013, was $1,326.40 and a group of 10 friends decide to equally share the cost of 1 ounce of gold. So each friend pays $1326.40 ÷ 10 which is $132.64.

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  2. Engage NY // Eureka Math Grade 5 Module 4 Lesson 30 Homework

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