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SSAT Middle Level Math : Numbers and Operations

Study concepts, example questions & explanations for SSAT Middle Level Math

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All SSAT Middle Level Math Resources

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Example Questions

Example Question #6 : How To Subtract Fractions

Give the result in simplest form:

$\frac{17}{40} - \frac{1}{40} + \frac{19}{40}$

Possible Answers:

$\frac{37}{40}$

$\frac{7}{24}$

$\frac{7}{8}$

$\frac{3}{40}$

$-\frac{3}{40}$

Correct answer:

$\frac{7}{8}$

Explanation:

$\frac{17}{40} - \frac{1}{40} + \frac{19}{40}$

$=\frac{17-1+19}{40}$

$=\frac{16+19}{40}$

$=\frac{35}{40} = \frac{35\div 5}{40\div 5} = \frac{7}{8}$

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Example Question #1553 : Ssat Middle Level Quantitative (Math)

Evaluate:

7.89 - 1.73 + 2.5

Possible Answers:

3.66

7.12

6.41

5.91

8.66

Correct answer:

8.66

Explanation:

By order of operations, subtractions and additions are carried out in left-to-right order, so subtract 1.73 from 7.89 first. This is best done vertically, aligning decimal points:

7.89

$\underline{1.73}$

6.16

Now add 2.50 to the difference (note that a zero has been added to the end), again aligning vertically by decimal point:

6.16

$\underline{2.50}$

8.66

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Example Question #7 : How To Subtract Fractions

Evaluate:

8-3.27

Possible Answers:

5.27

4.27

5.73

4.73

3.73

Correct answer:

4.73

Explanation:

Subtract vertically by aligning the decimal points, making sure you append the 8 with a decimal point and two placeholder zeroes:

8.00

$\underline{3.27}$

4.73

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Example Question #8 : How To Subtract Fractions

Subtract:

19 - 0.006

Possible Answers:

18.0994

-0.0013

18.994

18.9994

-0.00013

Correct answer:

18.994

Explanation:

Rewrite vertically, lining up the decimal digits. Subtract as you would two integers. (Note that you are appending zeroes to the 19.)

$\begin{matrix} 19.000 \\ - \underline{0.006}\\ 18.994 \end{matrix}$

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Example Question #1556 : Ssat Middle Level Quantitative (Math)

Subtract

$7\frac{1}{2}-3\frac{7}{8}$

Possible Answers:

$4\frac{5}{8}$

$3\frac{5}{8}$

$4\frac{3}{8}$

$3\frac{3}{8}$

$3\frac{7}{8}$

Correct answer:

$3\frac{5}{8}$

Explanation:

Rewrite the first fraction in eighths, as LCD (2,8) = 8 :

$7\frac{1}{2} = 7\frac{1 \times 4}{2 \times 4} = 7\frac{4}{8}$

Write vertically:

$7\frac{4}{8}$

$-\underline{3\frac{7}{8}}$

Now "borrow" one from 7 and add it to the $\frac{4}{8}$ , then subtract integer and fractional parts separately:

$6\frac{12}{8}$

$-\underline{3\frac{7}{8}}$

$3\frac{5}{8}$

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Example Question #11 : How To Subtract Fractions

Which of the following expressions is equal to $20 - 7 \frac{4}{5}$ ?

Possible Answers:

12.4

12.8

13.2

13.75

12.2

Correct answer:

12.2

Explanation:

Rewrite $7 \frac{4}{5}$ as a decimal:

$4 \div 5 = 0.8$ , so

$7 \frac{4}{5} = 7.8$

Now subtract:

20.0

$\underline{-7.8}$

12.2

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Example Question #11 : How To Subtract Fractions

Find $\frac{3}{5}-\frac{2}{15}$ .

Possible Answers:

$\frac{1}{2}$

$\frac{6}{75}$

$\frac{7}{15}$

$\frac{30}{13}$

$\frac{1}{4}$

Correct answer:

$\frac{7}{15}$

Explanation:

When substracting one fraction from another, first find the common denominator, then subtract one numerator from another.

$\frac{3}{5}-\frac{2}{15}=\frac{9}{15}-\frac{2}{15}$

$\frac{9}{15}-\frac{2}{15}=\frac{7}{15}$

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Example Question #13 : How To Subtract Fractions

Evaluate:

$-20 - 7.5 \times 3 - 1.2$

Possible Answers:

-43.7

-83.7

-41.3

-49.5

-81.3

Correct answer:

-43.7

Explanation:

By the order of operations, carry out the multiplication first, then the leftmost subtraction, then the rightmost subtraction:

$-20 - 7.5 \times 3 - 1.2$

=-20 - 22.5 - 1.2

=-42.5 - 1.2

=-43.7

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Example Question #12 : How To Subtract Fractions

Which of the following is the difference of five-sevenths and one-half?

Possible Answers:

The correct answer is not among the other responses.

$\frac{1}{14}$

$\frac{4}{5}$

$\frac{2}{21}$

$\frac{3}{28}$

Correct answer:

The correct answer is not among the other responses.

Explanation:

Since GCF(2,7) = 14 , we must rewrite each number as its equivalent in fourteenths, then subtract numerators, as follows:

$\frac{5}{7} -\frac{1}{2} = \frac{5 \times 2}{7 \times 2}- \frac{7 \times 1}{7 \times 2} = \frac{10}{14} - \frac{7 }{14} = \frac{10-7}{14} = \frac{3}{14}$

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Example Question #13 : How To Subtract Fractions

Which of the following is the difference of five-sevenths and one-half?

Possible Answers:

$\frac{5}{21}$

$\frac{2}{7}$

$\frac{4}{5}$

$\frac{3}{14}$

$\frac{5}{14}\,$

Correct answer:

$\frac{3}{14}$

Explanation:

Since GCF (2,7) = 14 , rewrite each fraction as its equivalent in fourteenths and subtract the numerators:

$\frac{5}{7} - \frac{1}{2} = \frac{5 \times 2}{7 \times 2} - \frac{7 \times 1}{7 \times 2} = \frac{10}{14} - \frac{7 }{14} = \frac{10-7}{14} = \frac{3}{14}$

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SSAT Middle Level Math : Numbers and Operations

Study concepts, example questions & explanations for SSAT Middle Level Math

All SSAT Middle Level Math Resources

Example Questions

Example Question #6 : How To Subtract Fractions

Example Question #1553 : Ssat Middle Level Quantitative (Math)

Example Question #7 : How To Subtract Fractions

Example Question #8 : How To Subtract Fractions

Example Question #1556 : Ssat Middle Level Quantitative (Math)

Example Question #11 : How To Subtract Fractions

Example Question #11 : How To Subtract Fractions

Example Question #13 : How To Subtract Fractions

Example Question #12 : How To Subtract Fractions

Example Question #13 : How To Subtract Fractions

All SSAT Middle Level Math Resources

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