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ISEE Middle Level Math : Numbers and Operations

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

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All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #2 : How To Find The Decimal Equivalent Of A Fraction

Write the decimal equivalent of $\frac{3}{500}$ .

Possible Answers:

0.15

0.00015

0.0015

0.006

0.0006

Correct answer:

0.006

Explanation:

$\frac{3}{500} = 3 \div 500 = 0.006$

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Example Question #3 : How To Find The Decimal Equivalent Of A Fraction

How do you write 0.125 as a fraction?

Possible Answers:

$\frac{1}{10}$

$\frac{1}{8}$

$\frac{2}{9}$

$\frac{1}{125}$

$\frac{1}{12}$

Correct answer:

$\frac{1}{8}$

Explanation:

$0.125=\frac{125}{1000}=\frac{1}{8}$

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Example Question #4 : How To Find The Decimal Equivalent Of A Fraction

Express $\frac{9}{25}$ as a decimal.

Possible Answers:

0.45

0.27

0.33

0.35

0.36

Correct answer:

0.36

Explanation:

Divide the numerator by the denominator:

$9 \div 25 = 0.36$

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Example Question #5 : How To Find The Decimal Equivalent Of A Fraction

Express 0.36 as a fraction in simplest form.

Possible Answers:

$\frac{9}{20}$

$\frac{7}{16}$

$\frac{9}{25}$

$\frac{9}{16}$

$\frac{7}{20}$

Correct answer:

$\frac{9}{25}$

Explanation:

Write the expression, without the decimal point (36), over the apporpriate power of 10 (100, since the last digit falls in the hundredths place). Then reduce:

$\frac{36}{100} = \frac{36\div 4}{100\div 4} = \frac{9}{25}$

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Example Question #6 : How To Find The Decimal Equivalent Of A Fraction

Which is equivalent to this fraction?

$\frac{2}{5}$

Possible Answers:

Correct answer:

Explanation:

Divide: $\frac{2}{5}= .4$

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Example Question #7 : How To Find The Decimal Equivalent Of A Fraction

Write as a decimal: $\frac{17}{45}$

Possible Answers:

$0.3\overline{8}$

$0.3\overline{7}$

0.387

0.37

0.378

Correct answer:

$0.3\overline{7}$

Explanation:

Divide 17 by 45, adding a decimal point and zeroes as needed:

$17 \div 45 = 0.37777...$

The 7 repeats infinitely. The decimal is therefore $0.3\overline{7}$ .

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Example Question #6 : Fractions

Write as a fraction in lowest terms: $0.4\overline{8}$

Possible Answers:

$\frac{12}{25}$

$\frac{24}{49}$

$\frac{16}{33}$

$\frac{4}{9}$

$\frac{22}{45}$

Correct answer:

$\frac{22}{45}$

Explanation:

We can use algebra to find the fraction by setting $N = 0.4\overline{8}$ . Then:

$100 \cdot N = 100 \cdot 0.4888...$

100 N = 48.888...

and

$10 \cdot N = 10 \cdot 0.4888...$

10 N = 4.888...

Subtract as follows:

$\begin{matrix} \; \; \; 100N& =&48.888... \\ \underline{\; \;- 10N}& =& \underline{ \; \; 4.888...}\\ \; \; \; \; 90N&= & 44\; \; \; \; \; \; \; \; \end{matrix}$

$90N \div 90= 44\div 90$

$N = \frac{44}{90} = \frac{44\div 2}{90\div 2} = \frac{22}{45}$

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Example Question #9 : How To Find The Decimal Equivalent Of A Fraction

Convert 0.017 into a fraction.

Possible Answers:

17/10

17/100

17/1000

17/10000

Correct answer:

17/1000

Explanation:

0.017 is equal to 17 thousandths (because it extends 3 decimal places), therefore:

0.017=17/1000

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Example Question #10 : How To Find The Decimal Equivalent Of A Fraction

Write as a decimal: $\frac{13}{75}$

Possible Answers:

$0.17\overline{3}$

$0.1\overline{73}$

0.173

$0.\overline{173}$

$0.\overline{1731}$

Correct answer:

$0.17\overline{3}$

Explanation:

Divide 13 by 75, adding a decimal point and zeroes as needed:

$13 \div 75 = 0.17333...$

The 3 repeats infinitely, so we can rewrite this as $0.17\overline{3}$ .

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Example Question #151 : Numbers And Operations

Write as a decimal: $\frac{24}{125}$

Possible Answers:

$0.19\overline{2}$

$0.1\overline{92}$

0.19

0.192

$0.\overline{192}$

Correct answer:

0.192

Explanation:

Divide 24 by 125:

$24 \div 125 = 0.192$

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All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

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ISEE Middle Level Math : Numbers and Operations

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #2 : How To Find The Decimal Equivalent Of A Fraction

Example Question #3 : How To Find The Decimal Equivalent Of A Fraction

Example Question #4 : How To Find The Decimal Equivalent Of A Fraction

Example Question #5 : How To Find The Decimal Equivalent Of A Fraction

Example Question #6 : How To Find The Decimal Equivalent Of A Fraction

Example Question #7 : How To Find The Decimal Equivalent Of A Fraction

Example Question #6 : Fractions

Example Question #9 : How To Find The Decimal Equivalent Of A Fraction

Example Question #10 : How To Find The Decimal Equivalent Of A Fraction

Example Question #151 : Numbers And Operations

All ISEE Middle Level Math Resources

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