How to recognize a # as a multiple of 9
The sum of the digits is a multiple of 9.
To recognize whether a number is a multiple of 9, you can use the divisibility rule for 9. The rule states that a number is divisible by 9 if the sum of its digits is also divisible by 9.
For example, if you have the number 918, you would add its digits together:
9 + 1 + 8 = 18
Since 18 is divisible by 9, we can determine that 918 is a multiple of 9.
Now, to recognize whether a # symbol (#) is a multiple of 9 for a given context, we would need more information. Typically, # is used as a placeholder or symbol for a digit in a number. If we are given a number with # included, we could use the above divisibility rule to calculate whether that number, with a certain digit in the place of #, is a multiple of 9.
For example, if we have 453#69, we can apply the rule:
4 + 5 + 3 + # + 6 + 9 = 27 + #
Since we know that this number has a multiple of 9 in it, the only digit that could go in place of # to make the entire number a multiple of 9 is 9. Every other digit would result in a number that is not divisible by 9. Therefore, 453969 is a multiple of 9.
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