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Without dividing, determine if 74,814 is divisible by 9 and explain how you know.

74,814◻ divisible by 9

Without dividing, determine if $74$ , $814$ is divisible by $9$ and explain how you know. $\newline$ $74,814 \square$ divisible by $9$

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. Without dividing, determine if

74

,

814

is divisible by

9

and explain how you know.

\newline

74,814 \square

divisible by

9

Divisibility Rule for $9$ : To determine if a number is divisible by $9$ , we can use the divisibility rule for $9$ : A number is divisible by $9$ if the sum of its digits is divisible by $9$ .
Add Digits of Number: First, we add the digits of the number $74,814$ : $7 + 4 + 8 + 1 + 4$ .
Perform Addition: Perform the addition: $7 + 4 + 8 + 1 + 4 = 24$ .
Check Divisibility by $9$ : Now, we need to determine if the sum of the digits, which is $24$ , is divisible by $9$ . Since $24$ is not a multiple of $9$ (because $2 + 4 = 6$ , which is not divisible by $9$ ), the original number $74,814$ is not divisible by $9$ .

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