Question

alisa says its easier to compare the numbers 45,760 and 1,025,680 than the numbers 492,111 and 409,867 what is one way you could construct an argument justifying whether alisa's conjecture is true

Answer 1

her argument is true because you can tell 492,111 and 409,867 are closer 1,025,680 snd 45,760 is alot farther away. Glad to help

Answer 2

The one way is: You could use the knowledge of place value to justifying whether Alisa's conjecture is true.

Explanation:

Consider the provided numbers.

In number 45,760 the digit 4 is at ten thousands place.

In number 1,025,680 the digit 1 is at million place.

So, it is easy to identify which number is greater by just seeing the greatest place value of the number.

Now consider the number 492,111 and 409,867

In number 492,111 the digit 4 is at hundred thousands place.

In number 409,867 the digit 4 is also at hundred thousands place.

The greatest place value of both the number is same, so by seeing greatest place value number we can not identify which number is greater, to identify which number is greater we further need to compare the digit at ten thousands place.

Thus, the one way is: You could use the knowledge of place value to justifying whether Alisa's conjecture is true.