Question

what do all the multiples of 10 have in common? every multiple of 10 has at least 1 zero at the end of the number and can be written using 10 as a factor 1 time. what do all the multiples of 100 have in common? every multiple of 100 has at least? at the end of the number and can be written using 10 as a factor? 2 zeroes 3 zeroes

Explanation:

Step1: Analyze multiples of 10

Multiples of 10 are \(10, 20, 30, \dots\) or \(10\times1, 10\times2, 10\times3, \dots\). They end with one zero and use 10 as a factor once.

Step2: Analyze multiples of 100

Multiples of 100 are \(100, 200, 300, \dots\) or \(100\times1, 100\times2, 100\times3, \dots\). Since \(100 = 10\times10\), each multiple of 100 can be written as \(10\times10\times k\) (where \(k\) is an integer). So, they end with at least two zeros and use 10 as a factor two times.

Answer:

For the first "?": 2 zeroes
For the second "?": 2 times (implied by the pattern, as \(100 = 10^2\), so using 10 as a factor 2 times)