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ACT Math : How to multiply negative numbers

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Example Questions

Example Question #1 : How To Multiply Negative Numbers

If a = –2 and b = –3, then evaluate a³ + b²

Possible Answers:

Correct answer:

Explanation:

When multiplying negative numbers, we get a negative answer if there are an odd number of negative numbers being multiplied. We get a positive answer if there are an even number of negative numbers being multiplied.

a³ + b² becomes (–2)³ + (–3)² which equals –8 + 9 = 1

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Example Question #1 : How To Multiply Negative Numbers

Evaluate:

–3 * –7

Possible Answers:

–10

–21

Correct answer:

Explanation:

Multiplying a negative number and another negative number makes the product positive.

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Example Question #543 : Arithmetic

Evaluate.

$\dpi{100} \small (-8\times 6) - (5\times -3)$

Possible Answers:

$\dpi{100} \small -33$

$\dpi{100} \small -63$

$\dpi{100} \small 33$

$\dpi{100} \small 62$

$\dpi{100} \small 32$

Correct answer:

$\dpi{100} \small -33$

Explanation:

$\dpi{100} \small (-8\times 6) - (5\times -3)$

Multiplying a negative and a positive number creates a negative product:

$\dpi{100} \small (-48)-(-15)$

$\dpi{100} \small -48+15$

$\dpi{100} \small -33$

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Example Question #544 : Arithmetic

Solve.

$(6-8)\times 11=$

Possible Answers:

$22$

$-22$

$5$

$13$

$-13$

Correct answer:

$-22$

Explanation:

$(6-8)=-2$

$-2\times 11=-22$

A negative number multiplied by a positive number will always be negative.

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Example Question #1 : How To Multiply Negative Numbers

Evaluate 3x³ + x² if x = –2

Possible Answers:

–20

–22

Correct answer:

–20

Explanation:

When multiplying a negative number an odd number of times, the answer is negative. When multiplying a negative number an even number of times, the answer is positive. Order of operations also applies: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction, from left to right. A mnemonic to remember the order of operations is “Please excuse my dear Aunt Sally.”

3(–2)³ + (–2)²

= 3(–8) + (4)

= –24 + 4

= –20

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Example Question #2 : How To Multiply Negative Numbers

Simplify the following expression: (–4)(2)(–1)(–3)

Possible Answers:

–24

–16

Correct answer:

–24

Explanation:

First, we multiply –4 and 2. A negative and a positive number multiplied together give us a negative number, so (–4)(2) = –8. A negative times a negative is a positive so (–8)(–1) = 8. (8)(–3) = –24.

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Example Question #3 : How To Multiply Negative Numbers

Evaluate the following:

-6*-4

Possible Answers:

Correct answer:

Explanation:

Two odd numbers multiplied always result in an even number. Simply multiple the two as though they were even. Thus

-6*-4=6*4=24

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ACT Math : How to multiply negative numbers

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #1 : How To Multiply Negative Numbers

Example Question #1 : How To Multiply Negative Numbers

Example Question #543 : Arithmetic

Example Question #544 : Arithmetic

Example Question #1 : How To Multiply Negative Numbers

Example Question #2 : How To Multiply Negative Numbers

Example Question #3 : How To Multiply Negative Numbers

All ACT Math Resources

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