Dividing Whole Numbers by Decimals

The video tutorial explains how to divide a whole number by a decimal, specifically dividing 518 by 0.7. It demonstrates converting the decimal to a whole number by multiplying both the divisor and dividend by 10, resulting in a division of 5180 by 7. The process is further explained using fraction representation and long division, ultimately solving the problem to find the quotient of 740.

What is the initial problem we are trying to solve?

• Adding 518 and 0.7

• Multiplying 518 by 0.7

• Dividing 518 by 0.7

• Subtracting 0.7 from 518

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CCSS.6.NS.B.3

Why do we need to convert the decimal divisor to a whole number?

• To make the dividend smaller

• To change the value of the problem

• To make the division easier

• To avoid using decimals

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How do we convert 0.7 to a whole number?

• By subtracting 10 from it

• By adding 10 to it

• By dividing it by 10

• By multiplying it by 10

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What happens to the dividend when we multiply the divisor by 10?

• We subtract 10 from the dividend

• We add 10 to the dividend

• We divide the dividend by 10

• We also multiply the dividend by 10

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What is the new dividend after moving the decimal point in 518?

• 5180

• 518.0

• 51800

• 5.18

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CCSS.5.NBT.A.2

What is the simplified division problem after adjusting the decimal points?

• 5180 divided by 0.7

• 5180 divided by 7

• 518 divided by 0.07

• 518 divided by 7

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CCSS.5.NBT.B.7

How many times does 7 go into 51?

• 7 times

• 5 times

• 8 times

• 6 times

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What is the result of 7 times 7?

• 42

• 56

• 51

• 49

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What is the next step after subtracting 49 from 51?

• Multiply the remainder by 7

• Add 7 to the remainder

• Divide the remainder by 7

• Bring down the next digit

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CCSS.5.NBT.B.6

What is the final result of the division 518 by 0.7?

• 7400

• 7.4

• 74

• 740

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CCSS.5.NBT.B.7