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How many two-digit numbers are divisible by 10?

Published in Number Theory 1 min read

There are 9 two-digit numbers that are divisible by 10.

Two-digit numbers range from 10 to 99. A number is divisible by 10 if it is a multiple of 10. According to the provided reference, the two-digit numbers divisible by 10 are 10, 20, 30, 40, 50, 60, 70, 80, and 90. This yields a total of nine numbers.

The multiples of 10 are all numbers that can be obtained by multiplying 10 by any whole number. Let's explore this concept with examples:

  • 10 x 1 = 10
  • 10 x 2 = 20
  • 10 x 3 = 30
  • 10 x 4 = 40
  • 10 x 5 = 50
  • 10 x 6 = 60
  • 10 x 7 = 70
  • 10 x 8 = 80
  • 10 x 9 = 90
  • 10 x 10 = 100 (This is the first three-digit multiple of 10, and therefore not included)

Here is a table summarizing the two-digit multiples of 10:

Multiple Value
10 x 1 10
10 x 2 20
10 x 3 30
10 x 4 40
10 x 5 50
10 x 6 60
10 x 7 70
10 x 8 80
10 x 9 90

Therefore, the two-digit numbers that are divisible by 10 are: 10, 20, 30, 40, 50, 60, 70, 80, and 90. There are 9 such numbers.

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