# Common Core: 7th Grade Math : Solve Problems with the Four Operations with Rational Numbers: CCSS.Math.Content.7.NS.A.3

## Example Questions

### Example Question #11 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Solve:

Explanation:

We know the following information:

However, the  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 multiplied by a positive number will always equal a negative number
• A negative number multiplied by a negative number will always equal a positive number

Thus,

### Example Question #12 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Solve:

Explanation:

We know the following information:

However, the  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,

### Example Question #13 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Solve:

Explanation:

We know the following information:

However, the  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,

### Example Question #13 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Solve:

Explanation:

We know the following information:

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,

### Example Question #14 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Solve:

Explanation:

In order to solve this problem, we need to start at  on the number line.

Next, we have  which means we need to move  places to the right on the number line. When we have an addition sign   we move to the right because that is towards the positive side of the number line. When we have a subtraction sign  we move to the left because that is towards the negative side of the number line.

The orange arrow moved  places to the right, and ended at ; thus,

### Example Question #16 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Solve:

Explanation:

In order to solve this problem, we need to start at  on the number line.

Next, we have  which means we need to move  places to the right on the number line. When we have an addition sign   we move to the right because that is towards the positive side of the number line. When we have a subtraction sign  we move to the left because that is towards the negative side of the number line.

The orange arrow moved  places to the right, and ended at ; thus,

Remember,  and  are opposite numbers. A number and its opposite always have a sum of

### Example Question #15 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Solve:

Explanation:

In order to solve this problem, we need to start at  on the number line.

Next, we have  which means we need to move  places to the right on the number line. When we have an addition sign   we move to the right because that is towards the positive side of the number line. When we have a subtraction sign  we move to the left because that is towards the negative side of the number line.

The orange arrow moved  places to the right, and ended at ; thus,

### Example Question #16 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Solve:

Explanation:

In order to solve this problem, we need to start at  on the number line.

Next, we have  which means we need to move  places to the left on the number line. When we have an addition sign   we move to the right because that is towards the positive side of the number line. When we have a subtraction sign  we move to the left because that is towards the negative side of the number line.

The orange arrow moved  places to the left, and ended at ; thus,

### Example Question #17 : Solve Problems With The Four Operations With Rational Numbers: Ccss.Math.Content.7.Ns.A.3

Solve:

Explanation:

In order to solve this problem, we need to start at  on the number line.

Next, we have  which means we need to move  places to the left on the number line. When we have an addition sign   we move to the right because that is towards the positive side of the number line. When we have a subtraction sign  we move to the left because that is towards the negative side of the number line.

The orange arrow moved  places to the left, and ended at ; thus,

Solve: