Karen says, "When I have a factor with
exactly 2 zeros at the end, my answer will always have 2 zero at the end." Do you agree? Explain.
Thanks
Certainly. If one factor ends in two zeroes, then it means that 100 is a factor of the number.
So, the number is a multiple of 100, and will end in at least two zeroes.
Just as a number with two as a factor will always be even.
No
same question now why?
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To determine whether Karen's statement is true or not, we need to understand the concept of factors and zeros at the end of a number.
When we talk about factors, we are referring to numbers that divide evenly into another number, resulting in no remainder. For example, the factors of 10 are 1, 2, 5, and 10.
Now let's consider the concept of zeros at the end of a number. Zeros at the end of a number are equivalent to powers of 10. For example, the number 10 has 1 zero at the end, while the number 100 has 2 zeros at the end.
Karen's statement suggests that if a factor of a number has exactly 2 zeros at the end, then the answer (result of multiplying the factor with another number) will also have 2 zeros at the end.
To test this statement, let's take an example:
Consider the number 20. Its factors are 1, 2, 4, 5, 10, and 20. None of these factors have 2 zeros at the end. Now, let's multiply one of the factors, let's say 5, with another number, for example, 100.
5 * 100 = 500
As we can see, the answer (500) does not have 2 zeros at the end, even though the factor (5) did not have 2 zeros at the end.
This example contradicts Karen's statement, as the factor did not have 2 zeros at the end, and yet the answer also did not have 2 zeros at the end.
Therefore, we can conclude that Karen's statement is not always true.