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HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

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All HSPT Math Resources

6 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #91 : Negative Numbers

John's account is overdrawn by $\$48$ . What will his balance be if he deposits $\$300$ and then writes a check for $\$24$ to pay a bill?

Possible Answers:

$\$222$

$\$228$

$\$238$

$\$324$

Correct answer:

$\$228$

Explanation:

If John's bank account is overdrawn, he is starting with a negative balance or negative amount in his account. To that he is making a deposit, which is an increase (addition). Then he is writing a check, which is a withdrawal (subtraction).

The equation would be written:

-48 + 300 -24

There are a couple of different ways to approach solving this. This is one way.

300 - 24 = 276

-48 + 276 =

Take the absolute value of each:

$\left | -48\right | = 48$

$\left | 276\right | = 276$

Then subtract:

276 -48 = 228

Because the higher absolute value 276 is positive, then take the sign of that number in the answer.

$\$228$ is the correct answer.

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Example Question #691 : Hspt Mathematics

$-7 \times 12 =$

Possible Answers:

Correct answer:

Explanation:

The rule for multiplying integers with opposite signs is:
A negative times a positive is a negative.

$-7 \times 12 = -84$

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Example Question #692 : Hspt Mathematics

$-20 \times -10 =$

Possible Answers:

200

Correct answer:

200

Explanation:

Whether positive or negative, if the signs are the same, the answer when multiplying is a positive number.

$-20 \times -10 =200$

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Example Question #693 : Hspt Mathematics

$-4\times-5\times-3 =$

Possible Answers:

Correct answer:

Explanation:

$-4\times-5\times-3 =$

$-4 \times -5 = 20$ (negative times negative equals positive)

$20 \times -3 = -60$ (positive times negative equals negative)

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Example Question #101 : Arithmetic

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

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 : Arithmetic

$144 \div -12 =$

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 #696 : 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:

$25^{o} F$

$-5^{o}F$

$5^{o} F$

$-15^{o}F$

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 #697 : Hspt Mathematics

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 #103 : Negative Numbers

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

Possible Answers:

$\dpi{100} -8$

$\dpi{100} 2$

$\dpi{100} -4$

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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Example Question #103 : Arithmetic

1.2*.15=?

Possible Answers:

180

2.7

1.8

Correct answer:

Explanation:

When multiplying decimals you ignore the decimals and multiply the two numbers like you would normally.

Then count the total number of decimal places to the right of the decimal of the original numbers.

Move the decimal from the whole number answer you just received to the left the same number of times as the total decimal places to the right of the numbers before you multiplied them.

Therefore the answer is

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HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #91 : Negative Numbers

Example Question #691 : Hspt Mathematics

Example Question #692 : Hspt Mathematics

Example Question #693 : Hspt Mathematics

Example Question #101 : Arithmetic

Example Question #102 : Arithmetic

Example Question #696 : Hspt Mathematics

Example Question #697 : Hspt Mathematics

Example Question #103 : Negative Numbers

Example Question #103 : Arithmetic

All HSPT Math Resources

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