Question

Select the correct option.
i. Which number will we reach if we move 4 numbers to the right of -2?
ii. Which number will we reach if we move 5 numbers to the left of 1?
iii. If we are at -8 on the number line, in which direction should we move to reach -13?
iv. If we are at -6 on the number line, in which direction should we move to reach -1?

• A. i. 2, ii. - 4, iii. left, iv. right
• B. i. 1, ii. 4, iii. left, iv. right
• C. i. 2, ii. 4, iii. right, iv. left
• D. i. 2, ii. 5, iii. right, iv. left

Answer 1

The correct option is A

i. 2, ii. - 4, iii. left, iv. right

On a number line, if we are moving towards right then its considered as + and moving towards left is considered as -.
So, moving 4 numbers to the right of -2 means -2 + 4 = 2
Moving 5 numbers to the left of 1 means 1- 5 = - 4
If we are at -8 on the number line and we have to reach -13 then this means -8 +x = -13 where x is the distance to be moved either in left or right direction.
$\Rightarrow$ x = -13+8=-5.
$\Rightarrow$ we have to move 5 numbers towards left (since -5 has a negative sign) to reach -13.
If we are at -6 on the number line and we have to reach -1 then this means -6 +x = -1 where x is the distance to be moved either in left or right direction.
$\Rightarrow$ x = -1+6=5.
$\Rightarrow$ we have to move 5 numbers towards right (since 5 has a positive sign) to reach -1.