Question

Find the value of 4 + 5; 2 + 6; 3 + 5 and 1 + 6 using the number line.

Answer 1

Hint- Here we will proceed by constructing a number line from 0 to 10. Then start from the point representing first number to second number. Hence we will obtain the added number.

Complete step-by-step answer:
Steps of construction-
        $A={\text{ 4 + 5}}$
(1)We will begin at zero and move 4 units to the right to reach the first integer of addition representing 4.
(2)Since the second number is positive, move 5 units to the right.
(3)Here we will arrive at added number i.e. 9.

      $B=\;2 + 6$
(1)We will begin at zero and move 2 units to the right to reach the first integer of addition.
(2)Since the second number is positive, move 6 units to the right.
(3)Here we will arrive at added number i.e. 8.

    $C={\text{ 3 + 5}}$
(1)We will begin at zero and move 3 units to the right to reach the first integer of addition.
(2)Since the second number is positive, move 5 units to the right.
(3)Here we will arrive at added number i.e. 8.

       $D={\text{ 1 + 6}}$
(1)We will begin at zero and move 1 unit ahead to the right to reach the first integer of addition.
(2)Since the second number is positive, move 6 units to the right.
(3)Here we will arrive at added number i.e. 7.

Note- We must know the rules to add integers like when the two integers have the positive sign, add them and put the (+) sign to the sum. Also we must start from the first integer of addition and then take additional units of second integer to get the right answer.