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HSPT Math : Arithmetic

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Example Questions

Example Question #41 : Negative Numbers

Whch of the following is the least of the four expressions?

Possible Answers:

$-\frac{11}{20}$

$-\frac{3}{5}$

$-\frac{17}{30}$

$-\frac{7}{12}$

Correct answer:

$-\frac{3}{5}$

Explanation:

Rewrite each of the numbers with a common denominator. To find that common denominator, examine the prime factorizations of 5, 12, 20, and 30:

5 = 5

$12 = 2 \cdot 2 \cdot 3$

$20 = 2 \cdot 2 \cdot 5$

$30 = 2 \cdot 3 \cdot 5$

Multiply:

$2 \cdot 2 \cdot 3 \cdot 5 = 60$

Rewrite each fraction with deniominator 60:

$-\frac{11}{20} = -\frac{11 \cdot 3 }{20 \cdot 3 } = - \frac{33}{60}$

$-\frac{17}{30} = -\frac{17\cdot 2 }{30 \cdot 2} = - \frac{34}{60 }$

$-\frac{7}{12} = -\frac{7 \cdot 5 }{12 \cdot 5} = - \frac{35}{60 }$

$-\frac{3}{5} = -\frac{3 \cdot 12 }{5\cdot 12 } = - \frac{36}{60}$

Of these four negative numbers, $-\frac{3}{5} = - \frac{36}{60}$ has the greatest absolute value, so it is the least of the four, and the correct choice.

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Example Question #41 : Concepts

Fill in the blank with the proper sign.

__________

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right.

Line1

Therefore:

-3>-5

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Example Question #42 : Concepts

Fill in the blank with the proper sign.

__________

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right.

Line3

Therefore:

1>-2

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Example Question #43 : Concepts

Fill in the blank with the proper sign.

__________

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right.

Line2

Therefore:

-2<-1

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Example Question #44 : Concepts

Fill in the blank with the proper sign.

__________

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right.

Line4

Therefore:

5>-1

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Example Question #45 : Concepts

Fill in the blank with the proper sign.

__________

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right.

Line6

Therefore:

10>-5

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Example Question #46 : Concepts

Fill in the blank with the proper sign.

__________

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right.

Line7

Therefore:

2<9

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Example Question #47 : Concepts

Fill in the blank with the proper sign.

__________

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right.

Line8

Therefore:

-4<8

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Example Question #48 : Concepts

Fill in the blank with the proper sign.

__________

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right.

Line10

Therefore:

4>-8

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Example Question #49 : Concepts

Fill in the blank with the proper sign.

__________

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we will use a number line. Numbers to the left of zero on the line are less than numbers to the right.

Line9

Therefore:

-3<3

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HSPT Math : Arithmetic

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #41 : Negative Numbers

Example Question #41 : Concepts

Example Question #42 : Concepts

Example Question #43 : Concepts

Example Question #44 : Concepts

Example Question #45 : Concepts

Example Question #46 : Concepts

Example Question #47 : Concepts

Example Question #48 : Concepts

Example Question #49 : Concepts

All HSPT Math Resources

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