# Integers

### Computations with Integers – ACT Math

Computations with integers are extremely common on the math section of the ACT examination.

Integers are positive and negative whole numbers.

Integers cannot have decimals, nor can they be mixed numbers. In other words, they can’t contain a fraction.

### Integers – Sample Exam Questions

Try these free sample problems to practice your skills with these kinds of questions on the examination.

Question 1: What is the largest possible product of 2 even integers whose sum is 22?

A. 11

B. 44

C. 100

D. 120

E. 144

For problems like this one that ask you to find the largest possible product of 2 even numbers, first you need to divide the sum by 2.

The sum in this problem is 22, so we need to divide this by 2.

22 ÷ 2 = 11

Now take the result from this division and find the 2 nearest even integers that are 1 number higher and lower.

11 + 1 = 12

11 − 1 = 10

Then multiply these two numbers together in order to get the product.

12 × 10 = 120

Question 2: What is the largest possible product of 2 odd integers whose sum is 32?

A. 15

B. 17

C. 24

D. 120

E. 255

Question 2 is like question 1 above, except the sum in question 2 is an odd number instead of an even number.

Just like we did in the previous problem above, first of all you need to divide the sum by 2.

The sum in this problem is 32, so we need to divide this by 2.

32 ÷ 2 = 16

Then look at the result from this operation and find the 2 nearest odd integers that higher and lower than the result.

Higher number: 16 is rounded up to 17, which is the nearest higher odd number

Lower number: 16 is rounded down to 15,  which is the nearest lower odd number

Then multiply these two numbers together in order to get the product.

17 × 15 = 255

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You may also like to try our Free Sample Test or have a look at our download.