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Without dividing, determine if 46,264 is divisible by 9 and explain how you know. 46,264◻ divisible by 9

Without dividing, determine if 4646,264264 is divisible by 99 and explain how you know.\newline46,264□ 46,264 \square divisible by 99

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Q. Without dividing, determine if 4646,264264 is divisible by 99 and explain how you know.\newline46,264□ 46,264 \square divisible by 99
  1. Divisibility Rule for 99: To determine if a number is divisible by 99, we can use the divisibility rule for 99: a number is divisible by 99 if the sum of its digits is divisible by 99.
  2. Calculate Sum of Digits: Calculate the sum of the digits of 46,26446,264. \newlineSum = 4+6+2+6+44 + 6 + 2 + 6 + 4 \newlineSum = 2222
  3. Check Divisibility by 99: Check if the sum of the digits 2222 is divisible by 99. Since 2222 is not divisible by 99 (because 9×2=189 \times 2 = 18 and 9×3=279 \times 3 = 27, and 2222 is between these two products), the number 46,26446,264 is not divisible by 99.

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