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Chapter 10: Problem 4

What is the value of the ones digit for the sum of all of the distinct prime integers less than \(20 ?\) a. 4 b. 5 c. 6 d. 7 e. 8

Short Answer

Expert verified
The value of the ones digit for the sum of all the distinct prime integers less than 20 is 7 (option d).

Step by step solution

01

Identify Prime Numbers

Prime numbers are integers greater than 1, having only two divisors: 1 and the number itself. The prime numbers less than 20 are \(2, 3, 5, 7, 11, 13, 17, 19\).
02

Sum the Prime Numbers

Sum all the prime numbers identified in the previous step: \(2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 = 77\).
03

Identify the Ones Digit

After finding the sum, identify the number in the ones place. The number in the ones place for the number 77 is 7.

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