Divisibility Rules Quiz

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Questions and Answers

Which number is divisible by both 2 and 3?

  • 14
  • 25
  • 27
  • 18 (correct)

What is the divisibility rule for 4?

  • Sum of digits is divisible by 4
  • Last digit is 0
  • Last digit is even
  • Last two digits form a number divisible by 4 (correct)

Which of the following is NOT a rule for divisibility?

  • Divisible by 9 if the sum of digits is divisible by 9
  • Divisible by 10 if the last digit is 0
  • Divisible by 7 if the last digit doubled and subtracted from the rest is divisible by 7 (correct)
  • Divisible by 5 if last digit is 0 or 5

Which number is divisible by 10?

<p>120 (A)</p> Signup and view all the answers

What is the divisibility rule for 8?

<p>Last three digits form a number divisible by 8 (A)</p> Signup and view all the answers

Flashcards

Divisible by 2 and 3?

A number divisible by both 2 and 3 is also divisible by 6.

Divisibility rule for 4?

If the number formed by the last two digits of a number is divisible by 4, then the entire number is divisible by 4.

Divisibility rule for 8?

If the last three digits of a number are divisible by 8, then the whole number is divisible by 8.

Divisibility rule for 10?

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

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Study Notes

Divisibility Rules

  • A number is divisible by 2 if its last digit is even: 0, 2, 4, 6, or 8.
  • A number is divisible by 3 if the sum of its digits results in a number that can be divided by 3 without a remainder.
  • A number is divisible by 4 if the number formed by its last two digits can be divided by 4.
  • A number is divisible by 5 if its last digit is either 0 or 5.
  • A number is divisible by 6 if it meets the criteria for both 2 and 3.
  • A number is divisible by 8 if the number created by its last three digits is divisible by 8.
  • A number is divisible by 9 if the sum of its digits is divisible by 9.
  • A number is divisible by 10 if its last digit is 0.

Problem 29: Product Calculation

  • Given the expression 115/5 x 5/3.
  • Simplifying 115/5 results in 23.
  • The other fraction remains 5/3.
  • Multiplying the simplified results leads to 23 x 5/3 = 115/3.
  • Final fraction 115/3 is in its lowest term, as 115 and 3 have no common factors.

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