Question

answers it with full explanation​

Answer 1

Step-by-step explanation:

➭ We are asked to write pairs of integers that multiply up to 24. For this, we need to list down the factors of 24 -:

1 x 24

2 x 12

3 x 8

4 x 6

Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24

➭ We know that 24 is a positive integer. In integers,

• positive and positive give positive
• negative and negative give positive

➭ So, either both the factors in the pair would be positive or both the factors in the pair would be negative. We can say that 1 x 24 = (-1) x (-24). This gives us two pairs already. We can do this for the other pairs too.

Answer:

Pair of integers      Their product        Their sum

1. -1 and -24          (-1) x (-24) = 24       (-1) + (-24) = 25

2. 1 and 24            1 x 24 = 24              1 + 24 = 25

3. -2 and -12          (-2) x (-12) = 24       (-2) + (-12) = 14

4.  2 and 12           2 x 12 = 24              2 + 12 = 14

5.  -3 and -8           (-3) x (-8) = 24         (-3) + (-8) = 11

6.  3 and 8             3 x 8 = 24               3 + 8 = 11

7.  -4 and -6            (-4) x (-6) = 24        (-4) + (-6) = 10

8.   4 and 6             4 x 6 = 24              4 + 6 = 10

The pair that has the least sum = 4 and 6, (-4) and (-6)

Check the attachment if the table is not making sense :D