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Common Core: 7th Grade Math : Interpret Products of Rational Numbers and Understand Properites of Operations: CCSS.Math.Content.7.NS.A.2a

Study concepts, example questions & explanations for Common Core: 7th Grade Math

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All Common Core: 7th Grade Math Resources

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Example Questions

Example Question #121 : The Number System

-8*-12 $\displaystyle -8*-12$

Possible Answers:

$\displaystyle 96$

$\displaystyle -20$

$\displaystyle -96$

$\displaystyle 20$

$\displaystyle 28$

Correct answer:

$\displaystyle 96$

Explanation:

When two negative values are multiplied, the answer becomes positive. Then, we multiply normally. We should get +96 $\displaystyle +96$ or $\displaystyle 96$.

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Example Question #123 : The Number System

-4*-6 $\displaystyle -4*-6$

Possible Answers:

$\displaystyle 24$

$\displaystyle 10$

$\displaystyle -2$

$\displaystyle -24$

$\displaystyle -10$

Correct answer:

$\displaystyle 24$

Explanation:

When multiplying with negative numbers, we count the number of negative numbers. We have two so that means the answer is positive. So the product is $\displaystyle 24$.

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Example Question #1 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

-8*8 $\displaystyle -8*8$

Possible Answers:

$\displaystyle 64$

$\displaystyle -1$

$\displaystyle -64$

$\displaystyle 32$

$\displaystyle -16$

Correct answer:

$\displaystyle -64$

Explanation:

When a positive number and a negative number is multiplied, the answer is negative. Just multiply normally. Answer is $\displaystyle -64$.

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Example Question #121 : The Number System

-13*-14 $\displaystyle -13*-14$

Possible Answers:

152 $\displaystyle 152$

182 $\displaystyle 182$

$\displaystyle -162$

$\displaystyle -182$

192 $\displaystyle 192$

Correct answer:

182 $\displaystyle 182$

Explanation:

When two negative numbers are multiplied, the answer is positive. Multiply normaly. Answer is 182 $\displaystyle 182$.

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Example Question #2 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

-7*4 $\displaystyle -7*4$

Possible Answers:

$\displaystyle -74$

$\displaystyle -28$

$\displaystyle 28$

$\displaystyle 14$

$\displaystyle 11$

Correct answer:

$\displaystyle -28$

Explanation:

When multiplying a negative number and a positive number, our answer is negative.

Multiply normally.

$\\-7\cdot 4\\=-7+-7-+-7+-7\\=-28$ $\displaystyle \\-7\cdot 4\\=-7+-7-+-7+-7\\=-28$

Answer is $\displaystyle -28$.

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Example Question #1 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

-12*-14 $\displaystyle -12*-14$

Possible Answers:

$\displaystyle 28$

$\displaystyle -26$

169 $\displaystyle 169$

168 $\displaystyle 168$

$\displaystyle -168$

Correct answer:

168 $\displaystyle 168$

Explanation:

When multiplying two negative numbers, our answer is positive.

Multiply normally. First multiply two by eight. Then multiply four and one.

$-{\color{Green} 1}{\color{Red} 2}\\\underline{ \times -1{\color{Red} 4}}$ $\displaystyle -{\color{Green} 1}{\color{Red} 2}\\\underline{ \times -1{\color{Red} 4}}$

$\displaystyle 48$

Next, place a zero in the ones digit spot and multiply one by two followed by multiplying one by one.

$-{\color{Green} 1}{\color{Red} 2}\\\underline{ \times -1{\color{Red} 4}}$ $\displaystyle -{\color{Green} 1}{\color{Red} 2}\\\underline{ \times -1{\color{Red} 4}}$

$\displaystyle 48$

120 $\displaystyle 120$

From here, add the two products together.

$\displaystyle 48+120=168$

Answer is 168 $\displaystyle 168$.

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Example Question #3 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Solve:

-18*7 $\displaystyle -18*7$

Possible Answers:

$\displaystyle -116$

126 $\displaystyle 126$

$\displaystyle -126$

116 $\displaystyle 116$

106 $\displaystyle 106$

Correct answer:

$\displaystyle -126$

Explanation:

When multiplying a negative number and a positive number, our answer is negative. Multiply normally. Answer is $\displaystyle -126$.

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Example Question #4 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Solve:

-19*-21 $\displaystyle -19*-21$

Possible Answers:

409 $\displaystyle 409$

279 $\displaystyle 279$

$\displaystyle -399$

399 $\displaystyle 399$

$\displaystyle -409$

Correct answer:

399 $\displaystyle 399$

Explanation:

When multiplying two negative numbers, the answer is positive. Then multiply normally. Answer is 399 $\displaystyle 399$.

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Example Question #5 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

-12*92 $\displaystyle -12*92$

Possible Answers:

1104 $\displaystyle 1104$

$\displaystyle -1114$

$\displaystyle -1104$

1114 $\displaystyle 1114$

$\displaystyle -1094$

Correct answer:

$\displaystyle -1104$

Explanation:

-12*92 $\displaystyle -12*92$ When multiplying with a negative number, our answer is negative.

Answer is $\displaystyle -1104$

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Example Question #6 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

-13*-24 $\displaystyle -13*-24$

Possible Answers:

$\displaystyle -312$

312 $\displaystyle 312$

302 $\displaystyle 302$

322 $\displaystyle 322$

$\displaystyle -302$

Correct answer:

312 $\displaystyle 312$

Explanation:

-13*-24 $\displaystyle -13*-24$ When multiplying with two negative numbers, our answer is positive.

Answer is 312 $\displaystyle 312$

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All Common Core: 7th Grade Math Resources

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Common Core: 7th Grade Math : Interpret Products of Rational Numbers and Understand Properites of Operations: CCSS.Math.Content.7.NS.A.2a

Study concepts, example questions & explanations for Common Core: 7th Grade Math

All Common Core: 7th Grade Math Resources

Example Questions

Example Question #121 : The Number System

Example Question #123 : The Number System

Example Question #1 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Example Question #121 : The Number System

Example Question #2 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Example Question #1 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Example Question #3 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Example Question #4 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Example Question #5 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

Example Question #6 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

All Common Core: 7th Grade Math Resources

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