SAT Math : How to divide decimals

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #34 : Other Decimals

simplify: 0.2 ÷ 0.04

Possible Answers:
2
0.02
0.05
5
0.005
Correct answer: 5
Explanation:

0.2 ÷ 0.04  <- easiest way to approach is to move the decimal to the right (the same amount of spaces on each side) so that the decimal disappears

since 0.04 has 2 spaces and 0.2 only has 1, move the decimal 2 spaces to the right on each side

0.2 ÷ 0.04 = 20 ÷ 4 = 5

Example Question #1 : Decimal Operations

If the cost of 20 equally priced pencils cost $5.80, then at the same rate what is the greatest number of pencils you can purchase for $50?

Possible Answers:

172.41

173

172

150

200

Correct answer:

172

Explanation:

Remeber for this problem that you cannot spend more than $50. First find the price of each pencil by 5.80/20 = 29 cents. And then use this to do 50/0.29 = 172.41. So the greatest number of pencils you can purchase for $50 is 172 pencils.

Example Question #1 : How To Divide Decimals

Charlie has charges on his credit card of $63.70, $37.32, and $81.78. If he pays down half his bill at once, and then pays the rest in four equal monthly installments, how much is each monthly installment?

Possible Answers:

\$23.05

\$21.78

\$25.32

\$25.00

Correct answer:

Explanation:

Adding all the charges together and dividing by 2 yields $91.40. Dividing this by 4 yields a monthly installment of $22.85.

Example Question #2 : How To Divide Decimals

Simplify:

Possible Answers:

Correct answer:

Explanation:

Multiply both the numerator and denominator by some power of 10 to get rid of the decimals; in this case, multiply both by 10,000.

 

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