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Without dividing, determine if 70,012 is divisible by 4 and explain how you know.

70,012◻ divisible by 4

Without dividing, determine if 7070,012012 is divisible by 44 and explain how you know.\newline70,012 70,012 \square divisible by 44

Full solution

Q. Without dividing, determine if 7070,012012 is divisible by 44 and explain how you know.\newline70,012 70,012 \square divisible by 44
  1. Check Last Two Digits: To determine if a number is divisible by 44, we only need to look at the last two digits of the number. If the last two digits form a number that is divisible by 44, then the entire number is divisible by 44.
  2. Verify Divisibility by 44: The last two digits of 70,01270,012 are 1212. Now we need to check if 1212 is divisible by 44.
  3. Confirm Divisibility: 1212 divided by 44 equals 33, which is a whole number. Therefore, 1212 is divisible by 44.
  4. Final Conclusion: Since the last two digits (12)(12) of 70,01270,012 are divisible by 44, we can conclude that 70,01270,012 is also divisible by 44.

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