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ISEE Lower Level Quantitative : How to subtract

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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All ISEE Lower Level Quantitative Resources

20 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : How To Subtract

$\frac{3}{5} - \frac{1}{5} = ?$

Possible Answers:

$\frac{4}{5}$

$\frac{2}{0}$

$\frac{2}{5}$

$\frac{4}{1}$

$\frac{2}{10}$

Correct answer:

$\frac{2}{5}$

Explanation:

To subtract fractions, we first see if they have the same denominators. In this case, the two fractions have the same denominator (5).

Then we subtract the second numerator from the first numerator: 3-1=2 .

We keep the original denominator and get $\frac{2}{5}$ . Do not subtract the denominators.

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Example Question #1 : How To Subtract

Sam bought a video game and an MP3 player from the store with money from his birthday. He spent $264.21, including tax. The following day, he had to return the video game. His new total spent was $197.89 for the MP3 player. When he returned the video game, how much money did he get back?

Possible Answers:

$133.68

$166.32

$65.32

$66.32

Correct answer:

$66.32

Explanation:

To find the difference, you must subtract. Line up the numbers vertically. Remember to use the rules of borrowing to subtract.

264.21-197.89=66.32

Sam got $66.32 back when he returned the video game.

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Example Question #2 : How To Subtract

$\frac{7}{8} - \frac{5}{8} =$

Possible Answers:

$\frac{1}{3}$

$\frac{1}{4}$

$\frac{9}{8}$

$\frac{12}{16}$

$\frac{1}{8}$

Correct answer:

$\frac{1}{4}$

Explanation:

Subtract the numerators and keep the denominators the same.

The correct answer is $\frac{2}{8}$ or $\frac{1}{4}$ .

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Example Question #2 : How To Subtract

One coin has a thickness of $\frac{1}{4}$ inches, while another coin has a thickness of $\frac{2}{3}$ inches. How much thicker is the second coin?

Possible Answers:

$\frac{7}{12}\ in$

$\frac{1}{12}\ in$

$\frac{11}{12}\ in$

$\frac{5}{12}\ in$

$\frac{3}{12}\ in$

Correct answer:

$\frac{5}{12}\ in$

Explanation:

To solve this problem, we have to subtract the smaller thickness from the larger thickness $(\frac{2}{3}-\frac{1}{4})$ .

When subtracting fractions, we must find a common denominator (in this case, 12) and then change the numerators accordingly $(\frac{8}{12}-\frac{3}{12})$ .

The answer is therefore $\frac{5}{12}\ in.$

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Example Question #3 : How To Subtract

Subtract:

$9 \textrm{ ft } 4 \textrm{ in}$

$-\underline{ 5 \textrm{ ft }10\textrm{ in}}$

Possible Answers:

$3 \textrm{ ft } 4 \textrm{ in}$

$4 \textrm{ ft } 6 \textrm{ in}$

$3 \textrm{ ft } 6 \textrm{ in}$

$4 \textrm{ ft } 4 \textrm{ in}$

$4 \textrm{ ft } 2 \textrm{ in}$

Correct answer:

$3 \textrm{ ft } 6 \textrm{ in}$

Explanation:

One foot is equal to 12 inches, so:

$9 \textrm{ ft } 4 \textrm{ in} = 8 \textrm{ ft } + 12 \textrm{ in} + 4 \textrm{ in} = 8 \textrm{ ft } 16 \textrm{ in}$

In this equivalent problem, subtract feet and inches separately:

$8 \textrm{ ft } 16 \textrm{ in}$

$-\underline{ 5 \textrm{ ft }10\textrm{ in}}$

$3 \textrm{ ft } 6 \textrm{ in}$

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Example Question #6 : How To Subtract

Subtract:

$7 \textrm{ ft}$

$- \underline{4 \textrm{ ft } 5\textrm{ in }}$

Possible Answers:

$2 \textrm{ ft } 5\textrm{ in }$

$3\textrm{ ft } 5\textrm{ in }$

$2 \textrm{ ft } 7\textrm{ in }$

$2 \textrm{ ft } 3\textrm{ in }$

$3 \textrm{ ft } 7\textrm{ in }$

Correct answer:

$2 \textrm{ ft } 7\textrm{ in }$

Explanation:

One foot is equal to 12 inches, so:

$7 \textrm{ ft} = 6 \textrm{ ft} + 1 \textrm{ ft} = 6 \textrm{ ft} + 12\textrm{ in }$

In this equivalent problem, subtract feet and inches separately:

$6 \textrm{ ft } 12\textrm{ in }$

$- \underline{4 \textrm{ ft } 5\textrm{ in }}$

$2 \textrm{ ft } 7\textrm{ in }$

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Example Question #352 : Operations

Karen wins a bag of 100 marbles and wants to give some to her sister Kay so that each girl will have the same number of marbles. Karen already has 71 marbles; Kay already has 51. How many of the 100 marbles will Karen keep?

Possible Answers:

Correct answer:

Explanation:

After Janet wins the 100 marbles, the girls together own 100 + 71 + 51 = 222 marbles. Each should therefore own half this, or $222 \div 2 = 111$ marbles. Since Karen owns 71 marbles already, she will keep 111-71 = 40 marbles.

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Example Question #7 : How To Subtract

Give the difference of 6 and 0.77.

Possible Answers:

1.7

0.17

5.33

0.71

5.23

Correct answer:

5.23

Explanation:

Write the two numbers vertically with decimal points aligned, adding a decimal point and two zeroes to the 6, and subtract:

6.00

$- \underline{0.77}$

5.23

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Example Question #8 : How To Subtract

Give the difference of 7.4 and 0.134.

Possible Answers:

7.26

7.386

7.3866

7.266

7.334

Correct answer:

7.266

Explanation:

Write the two numbers vertically, adding two zeroes to the 7.4, and subtract:

7.400

$\underline{- 0.134}$

7.266

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Example Question #9 : How To Subtract

$\overbrace{t} = 100 - 8t$

Evaluate $\overbrace{11}$ .

Possible Answers:

The expression is undefined.

1,012

Correct answer:

Explanation:

$\overbrace{t} = 100 - 8t$

$\overbrace{11} = 100 - 8 \times 11 = 100 - 88 = 12$

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All ISEE Lower Level Quantitative Resources

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ISEE Lower Level Quantitative : How to subtract

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #1 : How To Subtract

Example Question #1 : How To Subtract

Example Question #2 : How To Subtract

Example Question #2 : How To Subtract

Example Question #3 : How To Subtract

Example Question #6 : How To Subtract

Example Question #352 : Operations

Example Question #7 : How To Subtract

Example Question #8 : How To Subtract

Example Question #9 : How To Subtract

All ISEE Lower Level Quantitative Resources

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