# Problem Solving In Decimals

So in order to find out how much Vanessa has spent, we will divide 45.75 by 3: Yesterday Susana took a trip to visit some family.She covered a total of 135.75 miles without making any stops along the way, and it took her exactly 1.5 hours to arrive at her destination. The difference is that the decimal point moves to the right when you multiply; it moves to the left when you divide.

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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.

Then multiply the dividend by the same power of ten.

In cases like this, you can use powers of 10 to help create an easier problem to solve.

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.

The bill for the meal is \$58.32—which includes a tax of \$4.64. So if they know how to multiply \$4.64 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.

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?

You can easily see any problems they are having by checking the alignment of their numbers on the graph paper.

As with whole numbers, sometimes you run into situations where you need to multiply or divide decimals.

Notice that the products keep getting greater by one place value as the multiplier (10, 100, and 1,000) increases.

In fact, the decimal point moves to the right by the same number of zeros in the power of ten multiplier.

## Comments Problem Solving In Decimals

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