Multiply and Divide Rational Numbers Using Properties of Operations: CCSS.Math.Content.7.NS.A.2c - Common Core: 7th Grade Math

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Question

Solve the following:

$42\div-7$

Answer

We know the following information:

$42\div7=6$

However, the changes our answer, in this particular case. There are a couple of rules that we need to remember when multiplying with negative numbers:

A negative number divided by a positive number will always equal a negative number, and a positive number divided by a negative number will always equal a negative number.

A negative number divided by a negative number will always equal a positive number

Thus,

$42\div-7=-6$

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Question

Solve:

$35\div-5$

Answer

We know the following information:

$35\div5=7$

However, the changes our answer, in this particular case. There are a couple of rules that we need to remember when multiplying with negative numbers:

A negative number divided by a positive number will always equal a negative number, and a positive number divided by a negative number will always equal a negative number.

A negative number divided by a negative number will always equal a positive number

Thus,

$35\div-5=-7$

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Question

Solve:

$54\div-6$

Answer

We know the following information:

$54\div6=9$

However, the changes our answer, in this particular case. There are a couple of rules that we need to remember when multiplying with negative numbers:

A negative number divided by a positive number will always equal a negative number, and a positive number divided by a negative number will always equal a negative number.

A negative number divided by a negative number will always equal a positive number

Thus,

$54\div-6=-9$

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Question

Solve:

$-108\div-12$

Answer

We know the following information:

$108\div12=9$

In this particular case, do the negative numbers change our answer? . There are a couple of rules that we need to remember when multiplying with negative numbers:

A negative number divided by a positive number will always equal a negative number, and a positive number divided by a negative number will always equal a negative number.

A negative number divided by a negative number will always equal a positive number

Thus,

$-108\div-12=9$

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Question

Solve:

$-10\div-2$

Answer

We know the following information:

$10\div2=5$

In this particular case, do the negative numbers change our answer? . There are a couple of rules that we need to remember when multiplying with negative numbers:

A negative number divided by a positive number will always equal a negative number, and a positive number divided by a negative number will always equal a negative number.

A negative number divided by a negative number will always equal a positive number

Thus,

$-10\div-2=5$

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Question

Solve:

$-16\div-8$

Answer

We know the following information:

$16\div8=2$

In this particular case, do the negative numbers change our answer? . There are a couple of rules that we need to remember when multiplying with negative numbers:

A negative number divided by a positive number will always equal a negative number, and a positive number divided by a negative number will always equal a negative number.

A negative number divided by a negative number will always equal a positive number

Thus,

$-16\div-8=2$

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Question

$-9*8\div-2$

Answer

Let's work from left to right since it's only multiplication and division. Since there is only one negative number, the product of is negative which is . Now we have $-72\div-2$ . Two negative numbers in a division problem makes the answer positive. $-72\div-2=36$

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Question

Solve:

$-3\left(\frac{-2-6}{-4}\right)$

Answer

When solving this problem remember our orders of operation, or PEMDAS.

PEMDAS stands for parentheses, exponents, multiplication/division, and addition/subtraction. When you have a problem with several different operations, you need to solve the problem in this order and you work from left to right for multiplication/division and addition/subtraction.

Simplify the quantities inside the parentheses. Then multiply and distribute the coefficient in front.

$-3\left(\frac{-2-6}{-4}\right)$

$-3\left(\frac{-8}{-4}\right)$

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Question

Solve:

$\frac{-2(2+2)}{-2(-2-2)}$

Answer

When solving this problem remember our orders of operation, or PEMDAS.

PEMDAS stands for parentheses, exponents, multiplication/division, and addition/subtraction. When you have a problem with several different operations, you need to solve the problem in this order and you work from left to right for multiplication/division and addition/subtraction.

Evaluate the quantities inside the parentheses first.

$\frac{-2(2+2)}{-2(-2-2)}$

$\frac{-2(4)}{-2(-4)}$

$\frac{-8}{8}=-1$

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Question

Solve:

$-1\times3$

Answer

We know the following information:

$1\times3=3$

However, the changes our answer, in this particular case. There are a couple of rules that we need to remember when multiplying with negative numbers:

A negative number multiplied by a positive number will always equal a negative number

A negative number multiplied by a negative number will always equal a positive number

Thus,

$-1\times3=-3$

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Question

Solve:

$-3\times10$

Answer

We know the following information:

$3\times10=30$

However, the changes our answer, in this particular case. There are a couple of rules that we need to remember when multiplying with negative numbers:

A negative number multiplied by a positive number will always equal a negative number

A negative number multiplied by a negative number will always equal a positive number

Thus,

$-3\times10=-30$

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Question

Solve:

$-5\times11$

Answer

We know the following information:

$5\times11=55$

However, the changes our answer, in this particular case. There are a couple of rules that we need to remember when multiplying with negative numbers:

A negative number multiplied by a positive number will always equal a negative number

A negative number multiplied by a negative number will always equal a positive number

Thus,

$-5\times11=-55$

Compare your answer with the correct one above

Question

Solve the following:

$-12\times-12$

Answer

We know the following information:

$12\times12=144$

In this particular case, do the negative numbers change our answer? There are a couple of rules that we need to remember when multiplying with negative numbers to help us answer this question:

A negative number multiplied by a positive number will always equal a negative number

A negative number multiplied by a negative number will always equal a positive number

Thus,

$-12\times-12=144$

Compare your answer with the correct one above

Question

Solve:

$-11\times-9$

Answer

We know the following information:

$11\times9=99$

In this particular case, do the negative numbers change our answer? There are a couple of rules that we need to remember when multiplying with negative numbers to help us answer this question:

A negative number multiplied by a positive number will always equal a negative number

A negative number multiplied by a negative number will always equal a positive number

Thus,

$-11\times-9=99$

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Question

Solve:

$-9\times-9$

Answer

We know the following information:

$9\times9=81$

In this particular case, do the negative numbers change our answer? There are a couple of rules that we need to remember when multiplying with negative numbers to help us answer this question:

A negative number multiplied by a positive number will always equal a negative number

A negative number multiplied by a negative number will always equal a positive number

Thus,

$-9\times-9=81$

Compare your answer with the correct one above

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