How can u tell the sign of the sum of a positive and negative integer without any calculations

The absolute value of a real number can be defined as the distance between that number and zero. This is what we need to see to predict the sign of the sum.

A sum between a positive number and a negative number can be written as:

A + (-B)

The sign of the sum will be the same sign as the sign of the number with the largest absolute value.

Let's see some examples.

A = 7

-B = -2

The value with bigger absolute value is A = 7.

Then the sign will be positive:

7 + (-2) = 5  is positive, as expected.

A = 3

-B = -73

-B has the largest absolute value, thus the sign of the sum will be negative.

3 + (-73) = -70

If you want to learn more, you can read:

link

To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values. The result takes the sign of the integer with the larger absolute value. The sum of any integer and its opposite is equal to zero.

65

step-by-step explanation:

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed