Question

Using the number line and write the integer which is:-
3 more than 5 ii. 5 more than –5 iii. 6 less than 2 iv. 3 less than –2

       (a) (i) 8, (ii) 0, (iii) 4, (iv) 5
       (b) (i) 2, (ii)10, (iii) –4 , (iv) –5
       (c) (i) 8, (ii) 0, (iii) –4, (iv) –5
       (d) (i) 2, (ii) 10, (iii) 4, (iv) 5

Answer 1

HINT:- Before solving this question, we must know about integers.
INTEGERS: An integer is a number that can be written without a fractional component. For example: 21, 4, 0, −2048, etc. are all integers.

Complete step -by-step solution -
Now, let us know about number line:-
NUMBER LINE: A number line can be defined as a straight line with numbers placed at equal intervals or segments along its length.
A number line can be extended infinitely in any direction and is usually represented horizontally.


(i) 3 more than 5 = 5 + 3 = 8

(ii) 5 more than –5 = (-5) + 5 = 0

(iii) 6 less than 2 = 2 – 6 = -4

(iv) 3 less than -2 = (-2) – 3 = -2 – 3 = -5

So, this is how we can represent numbers on number lines.

NOTE:- Number line is very useful. It has many uses.
It is also used to find rational numbers between two rational numbers.
One can do many calculations such as addition, subtraction, multiplication and division on a number line.