How to multiply negative numbers - ACT Math

Card 0 of 63

Question

Evaluate 3x3 + x2 if x = _–_2

Answer

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

Compare your answer with the correct one above

Question

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

Answer

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.

Compare your answer with the correct one above

Question

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

Answer

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

Compare your answer with the correct one above

Question

Evaluate:

–3 * –7

Answer

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

Compare your answer with the correct one above

Question

Evaluate.

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

Answer

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

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

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

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

$\dpi{100} \small -33$

Compare your answer with the correct one above

Question

Solve.

$(6-8)\times 11=$

Answer

$(6-8)=-2$

$-2\times 11=-22$

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

Compare your answer with the correct one above

Question

Evaluate the following:

Answer

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

Compare your answer with the correct one above

Question

Evaluate:

–3 * –7

Answer

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

Compare your answer with the correct one above

Question

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

Answer

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.

Compare your answer with the correct one above

Question

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

Answer

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

Compare your answer with the correct one above

Question

Evaluate 3x3 + x2 if x = _–_2

Answer

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

Compare your answer with the correct one above

Question

Evaluate.

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

Answer

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

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

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

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

$\dpi{100} \small -33$

Compare your answer with the correct one above

Question

Solve.

$(6-8)\times 11=$

Answer

$(6-8)=-2$

$-2\times 11=-22$

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

Compare your answer with the correct one above

Question

Evaluate the following:

Answer

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

Compare your answer with the correct one above

Question

Evaluate 3x3 + x2 if x = _–_2

Answer

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

Compare your answer with the correct one above

Question

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

Answer

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.

Compare your answer with the correct one above

Question

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

Answer

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

Compare your answer with the correct one above

Question

Evaluate:

–3 * –7

Answer

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

Compare your answer with the correct one above

Question

Evaluate.

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

Answer

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

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

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

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

$\dpi{100} \small -33$

Compare your answer with the correct one above

Question

Solve.

$(6-8)\times 11=$

Answer

$(6-8)=-2$

$-2\times 11=-22$

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

Compare your answer with the correct one above

Tap the card to reveal the answer

How to multiply negative numbers - ACT Math

Evaluate 3x3 + x2 if x = _–_2

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

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.

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

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

Evaluate: –3 * –7

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

Evaluate.

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

Solve.

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

Evaluate the following:

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

Evaluate: –3 * –7

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

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

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.

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

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

Evaluate 3x3 + x2 if x = _–_2

Evaluate.

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

Solve.

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

Evaluate the following:

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

Evaluate 3x3 + x2 if x = _–_2

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

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.

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

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

Evaluate: –3 * –7

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

Evaluate.

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

Solve.

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

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

Evaluate:

–3 * –7

Evaluate.

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

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

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

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

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

$\dpi{100} \small -33$

Solve.

$(6-8)\times 11=$

$(6-8)=-2$

$-2\times 11=-22$

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

Evaluate:

–3 * –7

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

Evaluate.

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

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

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

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

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

$\dpi{100} \small -33$

Solve.

$(6-8)\times 11=$

$(6-8)=-2$

$-2\times 11=-22$

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

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

Evaluate:

–3 * –7

Evaluate.

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

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

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

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

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

$\dpi{100} \small -33$

Solve.

$(6-8)\times 11=$

$(6-8)=-2$

$-2\times 11=-22$

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