How to multiply and divide decimals

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HSPT Math › How to multiply and divide decimals

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1

77% can also be writen as ________.

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Explanation

To convert a percentage into a decimal, divide the number by 100.

Instead of doing long division, simply pretend there is a decimal point at the end of the number, and then move the decimal point two places to the left.

You can think of 77 as 77.0 (or 77. - the zero doesn't matter). Now move the decimal point two places to the left.

Answer:

2

Divide:

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Explanation

Examine the divisor 0.004. To make this a whole number, the decimal point needs to be moved three places right. Do this to both 0.004 and 320, adding an implied decimal point after the latter first:

Now perform this division:

3

An aircraft's cruising speed is miles per hour. How far will it travel in hours?

miles

CORRECT

miles

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miles

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miles

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Explanation

The formula to calculate distance is where represents rate of speed and represents time.

In this problem, mph., and hours.

Convert the to an improper fraction:

To solve, multiply.

miles.

At its cruising speed of mph, the aircraft will travel miles in hours.

4

What is the decimal equivalent of ?

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Explanation

Divide:

Answer:

5

Convert to a decimal.

CORRECT

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Explanation

Divide the percentage by 100, or move the decimal point two places to the left:

Answer:

6

85 is what percent of 400?

CORRECT

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Explanation

Set up the proportion statement, where is our answer, and solve:

7

Find the decimal equivalent of .

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Explanation

To solve, divide:

Answer:

8

The cost of a magazine subscription has been reduced by 15%. What is the current price, if the original price was \$45.00?

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Explanation

First, multiply the original price by the percentage:

Then, subtract that amount from the original price:

Answer: The magazine subscription currently costs \$38.25.

9

Oliver pays for a skateboard. What is the discount percentage he receives if the skateboard originally costs

CORRECT

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Explanation

Divide .

Subtract that amount from to find the discount percentage Oliver received:

Answer: Oliver received a discount on the skateboard.

10

Evaluate:

CORRECT

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Explanation

First, multiply, ignoring the decimal points:

Put a decimal point after the number:

Since there were five digits total (one per factor) left of the decimal points, move the decimal point in the product left five places, inserting zeroes as needed: