Question

Alisa says it is easier to compare the numbers in set A than the numbers in set B

Set A
45,760
1,025,680

Set B
492,111
409,867

What is one way you could construct an argument justifying whether Alisa's conjecture is tru

Answer 1

I am not sure is this is right, but you could say that set A has a number in the millions, which makes in easier to set apart from the other one.

Answer 2

Numbers in Set A

1.⇒ 45,760------Five Digit Number

2.⇒1,025,680----Seven Digit Number

First number is a five digit number and Second number is Seven digit number.So, Seven Digit number is greater than five digit number.So Comparing is easy.

Set B

P: ⇒ 492,111

Q:⇒409,867

Both P and Q are Six digit numbers.So, Comparing these two numbers is Tedious.

→P >Q(As first digit is same that is 4, and unit place of Q is greater than unit place of P).

So, "Yes" Alisa's Conjecture is True.Because in Set A comparison is done between a 5 digit number and 7 Digit Number , while in set B, comparison is done between two 6 digit number.