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Common Core: 7th Grade Math : Grade 7

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

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All Common Core: 7th Grade Math Resources

7 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #3 : Subtract Rational Numbers And Understand The Absolute Value Of Their Difference: Ccss.Math.Content.7.Ns.A.1c

Subtract: -5-(-3) \(\displaystyle -5-(-3)\)

Possible Answers:

\(\displaystyle -2\)

\(\displaystyle -8\)

\(\displaystyle 8\)

\(\displaystyle 2\)

\(\displaystyle 3\)

Correct answer:

\(\displaystyle -2\)

Explanation:

Distribute the negative sign through the parentheses. Double negatives equal a positive.

\(\displaystyle -5-(-3) = -5+3 = -2\)

The answer is \(\displaystyle -2\).

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Example Question #4 : Subtract Rational Numbers And Understand The Absolute Value Of Their Difference: Ccss.Math.Content.7.Ns.A.1c

4-(-8) \(\displaystyle 4-(-8)\)

Possible Answers:

\(\displaystyle -4\)

\(\displaystyle 12\)

\(\displaystyle 6\)

\(\displaystyle 4\)

\(\displaystyle -12\)

Correct answer:

\(\displaystyle 12\)

Explanation:

When minus signs meet, the sign becomes positive. This becomes an addition problem. Answer is \(\displaystyle 12\).

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Example Question #5 : Subtract Rational Numbers And Understand The Absolute Value Of Their Difference: Ccss.Math.Content.7.Ns.A.1c

\(\displaystyle -46-(-23)\)

Possible Answers:

\(\displaystyle -23\)

\(\displaystyle -69\)

\(\displaystyle 69\)

\(\displaystyle 23\)

\(\displaystyle 27\)

Correct answer:

\(\displaystyle -23\)

Explanation:

When two minus signs meet, the sign becomes positive. Since \(\displaystyle 46\) is greater than \(\displaystyle 23\) and is negative, our answer is negative. We treat as a subtraction problem. Answer is \(\displaystyle -23\).

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Example Question #6 : Subtract Rational Numbers And Understand The Absolute Value Of Their Difference: Ccss.Math.Content.7.Ns.A.1c

6-(-12) \(\displaystyle 6-(-12)\)

Possible Answers:

\(\displaystyle -18\)

\(\displaystyle 3\)

\(\displaystyle -6\)

\(\displaystyle 18\)

\(\displaystyle 6\)

Correct answer:

\(\displaystyle 18\)

Explanation:

Two minus signs become a plus sign. It's now an addition problem.

Add the ones digits together: 6+2=8 \(\displaystyle 6+2=8\)

Add the tens digits together: 1+0=1 \(\displaystyle 1+0=1\)

Combine the ones and tens digit to get final answer.

Answer is \(\displaystyle 18\).

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Example Question #7 : Subtract Rational Numbers And Understand The Absolute Value Of Their Difference: Ccss.Math.Content.7.Ns.A.1c

\(\displaystyle -19-(-13)\)

Possible Answers:

\(\displaystyle -32\)

\(\displaystyle 23\)

\(\displaystyle 32\)

\(\displaystyle -6\)

\(\displaystyle 6\)

Correct answer:

\(\displaystyle -6\)

Explanation:

Two minus signs become a plus sign. It's now an addition problem. Since \(\displaystyle 19\) is greater than \(\displaystyle 13\) and is negative, our answer is negative.

We treat as a normal subtraction.

Answer is \(\displaystyle -6\)

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Example Question #8 : Subtract Rational Numbers And Understand The Absolute Value Of Their Difference: Ccss.Math.Content.7.Ns.A.1c

Solve:

\(\displaystyle -8-(-13)\)

Possible Answers:

\(\displaystyle 17\)

\(\displaystyle -5\)

\(\displaystyle 5\)

\(\displaystyle -21\)

\(\displaystyle 21\)

Correct answer:

\(\displaystyle 5\)

Explanation:

Two minus signs becomes a plus sign. Since \(\displaystyle 13\) is greater than \(\displaystyle 8\) and is positive, our answer is positive. We treat as a normal subtraction. Answer is \(\displaystyle 5\).

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Example Question #9 : Subtract Rational Numbers And Understand The Absolute Value Of Their Difference: Ccss.Math.Content.7.Ns.A.1c

Solve:

\(\displaystyle 19-(-14)\)

Possible Answers:

\(\displaystyle 5\)

\(\displaystyle -33\)

\(\displaystyle 33\)

\(\displaystyle 23\)

\(\displaystyle -5\)

Correct answer:

\(\displaystyle 33\)

Explanation:

Two minus signs become a plus sign. This is just simple addition. Answer is \(\displaystyle 33\).

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Example Question #261 : Grade 7

\(\displaystyle 99-(-16)\)

Possible Answers:

\(\displaystyle 83\)

115 \(\displaystyle 115\)

\(\displaystyle 89\)

\(\displaystyle 86\)

105 \(\displaystyle 105\)

Correct answer:

115 \(\displaystyle 115\)

Explanation:

\(\displaystyle 99-(-16)\) Two negative signs become a plus sign. This is now an addition problem.

Answer is 115 \(\displaystyle 115\)

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Example Question #262 : Grade 7

\(\displaystyle -245-(-346)\)

Possible Answers:

\(\displaystyle -368\)

\(\displaystyle -101\)

\(\displaystyle -591\)

591 \(\displaystyle 591\)

101 \(\displaystyle 101\)

Correct answer:

101 \(\displaystyle 101\)

Explanation:

\(\displaystyle -245-(-346)\) Two negative signs become a plus sign. Since 346 \(\displaystyle 346\) is greater than 245 \(\displaystyle 245\) and is positive, our answer is positive. We treat as a normal subtraction.

Answer is 101 \(\displaystyle 101\)

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Example Question #263 : Grade 7

\(\displaystyle -486-(-296)\)

Possible Answers:

782 \(\displaystyle 782\)

\(\displaystyle -782\)

\(\displaystyle -180\)

190 \(\displaystyle 190\)

\(\displaystyle -190\)

Correct answer:

\(\displaystyle -190\)

Explanation:

\(\displaystyle -486-(-296)\) Two minus signs become a plus sign. Since 486 \(\displaystyle 486\) is greater than 296 \(\displaystyle 296\) and is negative, our answer is negative. We treat as a normal subtraction.

Answer is \(\displaystyle -190\).

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All Common Core: 7th Grade Math Resources

7 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

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Common Core: 7th Grade Math : Grade 7

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

All Common Core: 7th Grade Math Resources

Example Questions

Example Question #3 : Subtract Rational Numbers And Understand The Absolute Value Of Their Difference: Ccss.Math.Content.7.Ns.A.1c

Example Question #4 : Subtract Rational Numbers And Understand The Absolute Value Of Their Difference: Ccss.Math.Content.7.Ns.A.1c

Example Question #5 : Subtract Rational Numbers And Understand The Absolute Value Of Their Difference: Ccss.Math.Content.7.Ns.A.1c

Example Question #6 : Subtract Rational Numbers And Understand The Absolute Value Of Their Difference: Ccss.Math.Content.7.Ns.A.1c

Example Question #7 : Subtract Rational Numbers And Understand The Absolute Value Of Their Difference: Ccss.Math.Content.7.Ns.A.1c

Example Question #8 : Subtract Rational Numbers And Understand The Absolute Value Of Their Difference: Ccss.Math.Content.7.Ns.A.1c

Example Question #9 : Subtract Rational Numbers And Understand The Absolute Value Of Their Difference: Ccss.Math.Content.7.Ns.A.1c

Example Question #261 : Grade 7

Example Question #262 : Grade 7

Example Question #263 : Grade 7

All Common Core: 7th Grade Math Resources

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