Question

Determine whether each of the following numbers is even or odd. In each case, give a reason for your answer. a. 22,225 b. 13,578 c. 1500

Short answer

a. 22,225 b. 13,578 c. 1500

Step-by-step solution

Identifying the numbers and their last digits

We have three numbers to determine if they are even or odd: a. 22,225 b. 13,578 c. 1500 Since we only need to check the divisibility by 2, we can focus on the last digit of each number. Divisibility by 2 depends on whether the last digit is divisible by 2 or not.

Classify each number as even or odd based on the last digit

We will now classify each number as even or odd by examining the last digit: a. 22,225 has a last digit of 5, which is not divisible by 2 (5 / 2 = 2 remainder 1). Therefore, 22,225 is an odd number. b. 13,578 has a last digit of 8, which is divisible by 2 (8 / 2 = 4). Therefore, 13,578 is an even number. c. 1500 has a last digit of 0, which is divisible by 2 (0 / 2 = 0). Therefore, 1500 is an even number.

Summarize the results

The results for each number are as follows: a. 22,225 is an odd number because its last digit, 5, is not divisible by 2. b. 13,578 is an even number because its last digit, 8, is divisible by 2. c. 1500 is an even number because its last digit, 0, is divisible by 2.