Question

Find: 4 × (– 5), 5 × (–2), 3 × (–4), 7 × (–1) using number line.

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Answer 1

Answer:

- 20 ,- 10, -12 -7

Step-by-step explanation:

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Answer 2

~~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.

~~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= 4 + 5A= 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+6B=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= 3

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= 4 + 5A= 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+6B=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= 3 + 5C= 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= 1 + 6D= 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.