QUESTION IMAGE
Question
what do all the multiples of 10 have in common? every multiple of 10 has at least? at the end of the number and can be written using 10 as a factor. options: 1 zero, 2 zeroes
Step1: Recall multiples of 10
Multiples of 10 are numbers like 10, 20, 30, 100, 110, etc.
Step2: Analyze the common feature
- For 10: has 1 zero at the end.
- For 20: has 1 zero at the end.
- For 100: has 2 zeros, but at least 1 zero.
- For 110: has 1 zero at the end.
So every multiple of 10 has at least 1 zero at the end (since \(10\times n\) where \(n\) is an integer, and \(10 = 2\times5\), so the product will have a factor of 10, leading to a trailing zero, and for \(n\) with more factors of 2 and 5, there can be more zeros, but at least one).
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1 zero