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

## Example Questions

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### Example Question #2 : Arithmetic

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 #31 : The Number System

is equal to which of the following?

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:

### Example Question #1 : How To Add Fractions

Evaluate:

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.

Explanation:

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

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

Solve:

Explanation:

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

### Example Question #41 : The Number System

Explanation:

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

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

Explanation:

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

Explanation:

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

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.