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answer the questions below. be sure to mark all answers that apply. (a)…

Question

answer the questions below. be sure to mark all answers that apply.
(a) which numbers are divisible by 10?
(b) which numbers are divisible by 2?
(c) which numbers are divisible by 5?
460
595
334
none of these

Explanation:

Response
Part (a): Divisible by 10

A number is divisible by 10 if its last digit is 0.

  • 460: Last digit is 0 → divisible by 10.
  • 595: Last digit is 5 → not divisible by 10.
  • 334: Last digit is 4 → not divisible by 10.
Part (b): Divisible by 2

A number is divisible by 2 if its last digit is even (0, 2, 4, 6, 8).

  • 460: Last digit 0 (even) → divisible by 2.
  • 595: Last digit 5 (odd) → not divisible by 2.
  • 334: Last digit 4 (even) → divisible by 2.
Part (c): Divisible by 5

A number is divisible by 5 if its last digit is 0 or 5.

  • 460: Last digit 0 → divisible by 5.
  • 595: Last digit 5 → divisible by 5.
  • 334: Last digit 4 → not divisible by 5.
Final Answers:

(a) Divisible by 10: $\boldsymbol{460}$
(b) Divisible by 2: $\boldsymbol{460, 334}$
(c) Divisible by 5: $\boldsymbol{460, 595}$

Answer:

Part (a): Divisible by 10

A number is divisible by 10 if its last digit is 0.

  • 460: Last digit is 0 → divisible by 10.
  • 595: Last digit is 5 → not divisible by 10.
  • 334: Last digit is 4 → not divisible by 10.
Part (b): Divisible by 2

A number is divisible by 2 if its last digit is even (0, 2, 4, 6, 8).

  • 460: Last digit 0 (even) → divisible by 2.
  • 595: Last digit 5 (odd) → not divisible by 2.
  • 334: Last digit 4 (even) → divisible by 2.
Part (c): Divisible by 5

A number is divisible by 5 if its last digit is 0 or 5.

  • 460: Last digit 0 → divisible by 5.
  • 595: Last digit 5 → divisible by 5.
  • 334: Last digit 4 → not divisible by 5.
Final Answers:

(a) Divisible by 10: $\boldsymbol{460}$
(b) Divisible by 2: $\boldsymbol{460, 334}$
(c) Divisible by 5: $\boldsymbol{460, 595}$