Decimals Problem Solving

If the number of decimal places is greater than the number of digits in the product, you can insert zeros in front of the product.

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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.

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.

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.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.In fact, the decimal point moves to the right by the same number of zeros in the power of ten multiplier.In cases like this, you can use powers of 10 to help create an easier problem to solve.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.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. You have explored how to tell when to use which operation.Now, you will focus on identifying the operation from a word problem, and then use procedures to actually perform the operation and determine a solution to the problem.

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