How to multiply negative numbers - ACT Math
Card 0 of 7
Evaluate:
–3 * –7
Evaluate:
–3 * –7
Multiplying a negative number and another negative number makes the product positive.
Multiplying a negative number and another negative number makes the product positive.
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Simplify the following expression: (–4)(2)(–1)(–3)
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.
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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If a = –2 and b = –3, then evaluate a3 + b2
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
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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Evaluate 3x3 + x2 if x = _–_2
Evaluate 3x3 + x2 if x = _–_2
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
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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Evaluate.
Evaluate.
Multiplying a negative and a positive number creates a negative product:
Multiplying a negative and a positive number creates a negative product:
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Solve.
Solve.
A negative number multiplied by a positive number will always be negative.
A negative number multiplied by a positive number will always be negative.
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Evaluate the following:
Evaluate the following:
Two odd numbers multiplied always result in an even number. Simply multiple the two as though they were even. Thus
Two odd numbers multiplied always result in an even number. Simply multiple the two as though they were even. Thus
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