# Using Multiplication To Solve Division Problems In today's lesson, we will be using two important math vocabulary words: division and remainder.Division, as we just discussed, is the math process of taking a total number and breaking it or dividing it into smaller equal parts.In some cases the division problem will end up with nothing left over, so in that case there would be NO remainder.

In today's lesson, we will be using two important math vocabulary words: division and remainder.Division, as we just discussed, is the math process of taking a total number and breaking it or dividing it into smaller equal parts.

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He bought a new pickup truck and took it on a trip of 614.25 miles. Did Andy get better gas mileage with the new truck?

Multiplying decimals is the same as multiplying whole numbers except for the placement of the decimal point in the answer.

When multiplying decimals, the number of decimal places in the product is the sum of the decimal places in the factors.

Division is when you take a total and divide it, or break it into equal groups.

You change the divisor to a whole number, then move the decimal point in the dividend the same number of places and divide.

## Using Multiplication To Solve Division Problems

Recall that when you multiply a decimal by a power of ten (10, 100, 1,000, etc), the placement of the decimal point in the product will move to the right according to the number of zeros in the power of ten.Learning to multiply and divide with decimals is an important skill.In both cases, you work with the decimals as you have worked with whole numbers, but you have to figure out where the decimal point goes.Imagine that a couple eats dinner at a Japanese steakhouse.The bill for the meal is .32—which includes a tax of .64. So if they know how to multiply .64 by 2, the couple can figure out how much they should leave for the tip. Andy just sold his van that averaged 20 miles per gallon of gasoline.Then multiply the dividend by the same power of ten.You can think of this as moving the decimal point in the dividend the same number of places to the right as you move the decimal point in the divisor. Remember that when you divide, you do not count the total number of decimal places in the divisor and dividend.A remainder is the extra left over when you divide.You will not always have a remainder when you divide.In the examples above, notice that each quotient still contains the digits 4469—but as another 0 is added to the end of each power of ten in the divisor, the decimal point moves an additional place to the left in the quotient.To divide a decimal by a power of ten (10, 100, 1,000, etc.), count the number of zeros in the divisor.

## Comments Using Multiplication To Solve Division Problems

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