Common Core: 7th Grade Math : Understand Distances Between Numbers on a Number Line: CCSS.Math.Content.7.NS.A.1b

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

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Example Questions

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Example Question #1 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Add:   

Possible Answers:

Correct answer:

Explanation:

Simply the signs before solving. A positive sign multiplied with a negative sign will convert the sign to a negative, and a negative multiplied with a negative will convert the sign to a positive.

Example Question #2 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

 is equal to which of the following?

Possible Answers:

Correct answer:

Explanation:

This is a straightforward problem. Remember that when adding a negative number, you are actually subtracting:

Be sure to remember that the first number is also negative, meaning we are subtracting a number from a negative number:

The answer is -6.25.

Example Question #3 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Evaluate:

Possible Answers:

Correct answer:

Explanation:

The sum of two numbers of unlike sign is the difference of their absolute values, with the sign of the "dominant" number (the positive number here) affixed:

Subtract vertically by aligning the decimal points, making sure you append the 3.2 with a placeholder zero:

This is the correct choice.

Example Question #2 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Possible Answers:

Correct answer:

Explanation:

When we add a negative number, the sign turns negative. Since we are adding two negative numbers, we treat this as an addition problem and add a minus sign in the end. 

Example Question #4 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Possible Answers:

Correct answer:

Explanation:

When dealing with negative numbers, let's see which number is greater.  is greater than  and is negative so the answer is negative. We treat this as a subtraction problem. . Because our answer should be negative, the correct answer is 

Example Question #5 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Solve:

Possible Answers:

Correct answer:

Explanation:

Remember that adding a negative number is the same as subtracting that same number if it were positive. 

Example Question #6 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Possible Answers:

Correct answer:

Explanation:

Since  is greater than  and is positive, our answer is positive. We treat as a subtraction problem. Answer is .

Example Question #7 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Possible Answers:

Correct answer:

Explanation:

When a plus and minus sign meet, the sign is negative. The difference is .

Example Question #8 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Possible Answers:

Correct answer:

Explanation:

When a plus and a minus meet, the sign is negative. When adding two negatie numbers, we treat as addition and add the minus sign in the end. Answer is .

Example Question #7 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Possible Answers:

Correct answer:

Explanation:

When a plus and minus sign meet, we have a minus sign.

Since  is greater than  and is negative, our answer is negative.

We treat as a normal subtraction.

Answer is .

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