Step: 1

-3 is a negative number; plot 3 units to the left of zero.

Step: 2

-2 is also a negative number; plot 2 units to the left of zero.

Step: 3

3 is a positive number; plot 3 units to the right of zero.

Step: 4

Figure 1 is the correct choice.

Correct Answer is : Figure 1

Step: 1

To add two numbers having opposites, first subtract the smaller number from the larger number and then put the sign of the larger number to the result.

Step: 2

So, to add - 6 and 5, first subtract 5 from 6.

6 - 5 = 1

Step: 3

The number - 6 has a negative sign. So, put the '-' sign to the result, 1.

So, - 6 + 5 = - 1

Step: 4

- 1 is a negative number, which is 1 unit to the left of 0. So, its opposite is 1, which is 1 unit to the right of 0.

[Positive numbers will be to the right and negative numbers will be to the left of 0 on the number line.]

Step: 5

So, Figure 1 is the correct representation of the sum of - 6 and 5 and the opposite of their sum on the number line.

Correct Answer is : Figure 1

Step: 1

6 - 4

[Original expression.]

Step: 2

= 2

[Subtract.]

Step: 3

The opposite of 2 is -2.

[Represent both 2 and -2 on the number line.]

Step: 4

So, figure-1 is the correct representation of the difference of 6 and 4 and the opposite of the difference.

Correct Answer is : Figure 1

Step: 1

-3 + (-2)

[Original expression.]

Step: 2

= - 3 - 2

[To add -2, subtract its opposite, 2.]

Step: 3

= -5

[Simplify.]

Step: 4

-5 will be 5 units to the left of 0 and its opposite is +5 which is 5 units to the right of 0 on the number line.

Step: 5

So, Figure 1 represents the sum of -3 and -2 and the opposite of their sum.

Correct Answer is : Figure 1

Step: 1

Numbers that are at the same distance from zero on a number line but in opposite directions are called opposites.

Step: 2

The numbers 3 and -3 both are 3 units far from zero.

Step: 3

So, -3 and 3 are opposites, which are represented on the number line in Figure 2.

Correct Answer is : Figure 2

Step: 1

Numbers that are at the same distance from zero on a number line but in opposite directions are called opposites.

Step: 2

Opposite of the opposite of -6.

[Given statement.]

Step: 3

Opposite of -6 is 6 and the opposite of 6 is -6.

Step: 4

Represent opposite of the opposite of -6 i.e -6 on the number line as shown below.

Correct Answer is : Figure 1

Step: 1

Opposite of 8 is - 8.

[To write the opposite, change the sign of the number.]

Step: 2

As - 8 is negative number, it will be 8 units to the left of 0 on the number line.

[Negative numbers will be to the left of 0 and positive numbers will be to the right of 0 on the number line.]

Step: 3

So, - 8 is represented on the number line as shown below.

Correct Answer is : - 8, Figure 1

Step: 1

The number - 2 is located 2 units to the left of zero.

Step: 2

Move 2 units to the left of zero to indicate - 2 by an arrow as shown in Number line 3.

Step: 3

Number line 3 is the number line that has an arrow indicating the location of - 2.

Correct Answer is : Number line 3

Step: 1

On the number line, the point O is located 3 units to the left of - 2.

Step: 2

- 2 - 3 = - 5

[As the point is located to the left of - 2, subtract 3 from - 2.]

Step: 3

The point O represents the number - 5 on the number line.

Correct Answer is : - 5

Step: 1

On the number line, the point B is located 4 units to the left of - 2.

Step: 2

- 2 - 4 = - 6

[As the point is located to the left of - 2, subtract 4 from - 2.]

Step: 3

The point B represents the number - 6 on the number line.

Correct Answer is : - 6

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- Number Line