Common Core: 7th Grade Math : The Number System

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

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Example Questions

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 #2 : 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 #3 : 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 #4 : 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 #5 : 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 #6 : 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 #5 : 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 .

Example Question #264 : Operations

Possible Answers:

Correct answer:

Explanation:

When adding two negative numbers, we treat as an addition problem and add the minus sign in the end.

 

Add the ones digits together:

Add the tens digits together:

Combine the ones and tens digit to get final answer.

Answer is .

Example Question #11 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Possible Answers:

Correct answer:

Explanation:

When adding two negative numbers, we treat as an addition problem and add the minus sign in the end.

Another way to look at this problem is to start at negative seven on a number line and move to the left three places.

Answer is .

Example Question #12 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Solve:

Possible Answers:

Correct answer:

Explanation:

Since  is greater than  and is positive, our answer is positive. We treat as a normal subtraction. The answer is .

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