Common Core: 7th Grade Math : Divide Integers: CCSS.Math.Content.7.NS.A.2b

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

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Example Questions

Example Question #441 : Grade 7

Solve: 

\(\displaystyle -33\div-11\)

 

Possible Answers:

\(\displaystyle -22\)

\(\displaystyle -3\)

\(\displaystyle 44\)

\(\displaystyle 22\)

\(\displaystyle 3\)

Correct answer:

\(\displaystyle 3\)

Explanation:

We know the following information:

\(\displaystyle 33\div11=3\)

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,

\(\displaystyle -33\div-11=3\)

Example Question #442 : Grade 7

Solve: 

\(\displaystyle 14\div-7\)

Possible Answers:

\(\displaystyle -7\)

\(\displaystyle -2\)

\(\displaystyle 7\)

\(\displaystyle 21\)

\(\displaystyle 2\)

Correct answer:

\(\displaystyle -2\)

Explanation:

We know the following information:

\(\displaystyle 14\div7=2\)

However, the \(\displaystyle -7\) 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,

\(\displaystyle 14\div-7=-2\)

Example Question #23 : Divide Integers: Ccss.Math.Content.7.Ns.A.2b

Solve: 

\(\displaystyle 21\div-7\)

Possible Answers:

\(\displaystyle 28\)

\(\displaystyle 3\)

\(\displaystyle 14\)

\(\displaystyle -3\)

\(\displaystyle -28\)

Correct answer:

\(\displaystyle -3\)

Explanation:

We know the following information:

\(\displaystyle 21\div7=3\)

However, the \(\displaystyle -7\) 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,

\(\displaystyle 21\div-7=-3\)

Example Question #24 : Divide Integers: Ccss.Math.Content.7.Ns.A.2b

Solve: 

\(\displaystyle 28\div-7\)

Possible Answers:

\(\displaystyle -21\)

\(\displaystyle 21\)

\(\displaystyle 35\)

\(\displaystyle 4\)

\(\displaystyle -4\)

Correct answer:

\(\displaystyle -4\)

Explanation:

We know the following information:

\(\displaystyle 28\div7=4\)

However, the \(\displaystyle -7\) 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,

\(\displaystyle 28\div-7=-4\)

Example Question #25 : Divide Integers: Ccss.Math.Content.7.Ns.A.2b

Solve: 

\(\displaystyle 35\div-7\)

Possible Answers:

\(\displaystyle 42\)

\(\displaystyle 28\)

\(\displaystyle -28\)

\(\displaystyle 5\)

\(\displaystyle -5\)

Correct answer:

\(\displaystyle -5\)

Explanation:

We know the following information:

\(\displaystyle 35\div7=5\)

However, the \(\displaystyle -7\) 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,

\(\displaystyle 35\div-7=-5\)

Example Question #26 : Divide Integers: Ccss.Math.Content.7.Ns.A.2b

Solve: 

\(\displaystyle 15\div-5\)

Possible Answers:

\(\displaystyle 20\)

\(\displaystyle -10\)

\(\displaystyle -3\)

\(\displaystyle 10\)

\(\displaystyle 3\)

Correct answer:

\(\displaystyle -3\)

Explanation:

We know the following information:

\(\displaystyle 15\div5=3\)

However, the \(\displaystyle -5\) 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,

\(\displaystyle 15\div-5=-3\)

Example Question #21 : Divide Integers: Ccss.Math.Content.7.Ns.A.2b

Solve: 

\(\displaystyle 20\div-5\)

Possible Answers:

\(\displaystyle 25\)

\(\displaystyle 4\)

\(\displaystyle -4\)

\(\displaystyle -25\)

\(\displaystyle 15\)

Correct answer:

\(\displaystyle -4\)

Explanation:

We know the following information:

\(\displaystyle 20\div5=4\)

However, the \(\displaystyle -5\) 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,

\(\displaystyle 20\div-5=-4\)

Example Question #28 : Divide Integers: Ccss.Math.Content.7.Ns.A.2b

Solve: 

\(\displaystyle 25\div-5\)

Possible Answers:

\(\displaystyle 30\)

\(\displaystyle 20\)

\(\displaystyle -20\)

\(\displaystyle -5\)

\(\displaystyle 5\)

Correct answer:

\(\displaystyle -5\)

Explanation:

We know the following information:

\(\displaystyle 25\div5=5\)

However, the \(\displaystyle -5\) 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,

\(\displaystyle 25\div-5=-5\)

Example Question #29 : Divide Integers: Ccss.Math.Content.7.Ns.A.2b

Solve: 

\(\displaystyle 30\div-5\)

Possible Answers:

\(\displaystyle -35\)

\(\displaystyle -6\)

\(\displaystyle -25\)

\(\displaystyle 35\)

\(\displaystyle 25\)

Correct answer:

\(\displaystyle -6\)

Explanation:

We know the following information:

\(\displaystyle 30\div5=6\)

However, the \(\displaystyle -5\) 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,

\(\displaystyle 30\div-5=-6\)

Example Question #30 : Divide Integers: Ccss.Math.Content.7.Ns.A.2b

Solve: 

\(\displaystyle 8\div-2\)

Possible Answers:

\(\displaystyle -6\)

\(\displaystyle 10\)

\(\displaystyle 4\)

\(\displaystyle -10\)

\(\displaystyle -4\)

Correct answer:

\(\displaystyle -4\)

Explanation:

We know the following information:

\(\displaystyle 8\div2=4\)

However, the \(\displaystyle -2\) 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,

\(\displaystyle 8\div-2=-4\)

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