# Decimals Problem Solving 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.You have explored how to tell when to use which operation.

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.You have explored how to tell when to use which operation.

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

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Identical wedges weighing 0.25 kg each are made from a big cheese weighing 2.5 kg. To solve this problem we have to think: With 2.5 kg of big cheese, how many wedges of 0.25 kg can we obtain?

The whole cheese has been divided into equal parts, so in order to know how many wedges we can obtain, we should divide 2.5 kg by 0.25 kg: To solve this problem we should think: if Maria spent 3 times more than Vanessa than the money that Vanessa spent is 3 times less.

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

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.

In this case, you can multiply the The number that is being divided into the dividend in a division problem. divisor, 0.3, by 10 to move the decimal point 1 place to the right.

If you multiply the divisor by 10, then you also have to multiply the The number to be divided up in a division problem. To divide by a decimal, multiply the divisor by a power of ten to make the divisor a whole number.

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