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HSPT Math : Negative numbers

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Example Question #101 : Negative Numbers

$\frac{-46}{-23} =$

Possible Answers:

$\frac{1}{2}$

$-\frac{1}{2}$

Correct answer:

Explanation:

The division of two negative numbers yields a positive result.

$\frac{-46}{-23} = 2$

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Example Question #102 : Concepts

$144 \div -12 =$

Possible Answers:

Correct answer:

Explanation:

In a division problem, if the signs are different (one is negative and one is positive), the answer is negative.

$144 \div -12 = -12$

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Example Question #691 : Hspt Mathematics

The temperature has been falling an average of $3^{o}$ per hour. If the temperature at 1:00 A.M. is $10^{o}F$ , then what will be the weather at 6:00 A.M.?

Possible Answers:

$-5^{o}F$

$25^{o} F$

$-15^{o}F$

$5^{o} F$

Correct answer:

$-5^{o}F$

Explanation:

If the temperature is dropping $3^{o}$ for hours (1:00 A.M.-6:00 A.M.), then that would be represented as:

$-3 \times 5 = -15^{o}$

If the temperature at 1:00 A.M. is $10^{o}$ then:

10 - 15 =

$\left | 10\right | = 10$

$\left | -15\right | = 15$

Subtract and take the sign of the higher absolute value.

15-10 = 5

The sign of the higher absolute value, which is , is negative.

The temperature is $-5^{o} F$ at 6:00 A.M. is the correct answer.

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Example Question #103 : Concepts

5 + (-3) =

Possible Answers:

Correct answer:

Explanation:

The rules for adding integers with different sign is to subtract the absolute value of these numbers, and then take the sign of the higher of the two numbers.

$\left | 5\right |=5$

$\left | -3\right | = 3$

5-3 = 2

Because has the larger absolute value and is positive, the correct answer is:

5 + (-3) = 2

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Example Question #105 : Concepts

$\dpi{100} -4-(-2)^{3}=$

Possible Answers:

$\dpi{100} 2$

$\dpi{100} -4$

$\dpi{100} -8$

Correct answer:

Explanation:

The order of operations is PEMDAS, or (1) Parentheses (2) Exponents (3)Multiplication/Division (4) Addition/Subtraction.

First, we need to cube the quantity $\dpi{100} -2$ .

$\dpi{100} (-2)^{3}=-8$

Now we are left with $\dpi{100} -4-(-8)$ .

Subtracting a negative is the same as adding a positive. So we can rewrite this as

$\dpi{100} -4+8=4$

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HSPT Math : Negative numbers

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #101 : Negative Numbers

Example Question #102 : Concepts

Example Question #691 : Hspt Mathematics

Example Question #103 : Concepts

Example Question #105 : Concepts

All HSPT Math Resources

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