SAT Math : How to multiply negative numbers

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #2 :Negative Numbers

Ifis a positive number, andis also a positive number, what is a possible value for?

Possible Answers:

Correct answer:

Explanation:

Because\dpi{100} \small -3bis positive,\dpi{100} \small bmust be negative since the product of two negative numbers is positive.

Because\dpi{100} \small abis also positive,\dpi{100} \small amust also be negative in order to produce a prositive product.

To check you answer, you can try plugging in any negative number for\dpi{100} \small a.

Example Question #1 :How To Multiply Negative Numbers

Multiply the following negative numbers:.

Possible Answers:

Correct answer:

Explanation:

When two negative numbers are multiplied by each other, the result is a positive number.

When a negative and a nonnegative number are multiplied with each other, the result is a negative number.

Therefore, sinceandare negative numbers, the product must be positive.

Therefore, the answer is positive.

Example Question #2 :How To Multiply Negative Numbers

Multiply:

Possible Answers:

Correct answer:

Explanation:

Simplify the expression term by term.

一个负数乘以一个负数gives a positive number.

A negative number multiplied by a positive number gives a negative number.

Example Question #3 :How To Multiply Negative Numbers

Multiply:

Possible Answers:

Correct answer:

Explanation:

Multiply the first two terms. A negative number times another negative will result in a positive number.

Multiply 27 with negative 2. A positive number times a negative number will result in a negative number.

The answer is:

Example Question #4 :How To Multiply Negative Numbers

Solve the following equation:

Possible Answers:

Correct answer:

Explanation:

If there are two negative signs, then the answer will be positive. If there were only one negative sign, the answer will be negative.

Example Question #5 :How To Multiply Negative Numbers

Simplify the following expression:

Possible Answers:

Correct answer:

Explanation:

Simplify the following expression:

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Now, it is important to use all three negative signs. The first two will cancel out, but the third one will remain, ensuring our final answer will be negative.

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