Question

connect it
now you will use the try it to help you understand
more ways to compare three-digit numbers.
1 which place do you need to look at to compare
the numbers of votes? why?
2 complete two different comparisons of 467 and 463.
3 why can 467 and 463 be compared two ways?
4 which painting has more votes? how do you know?
5 reflect
look back at your try it, strategies by classmates, and
picture it and model it. which models or strategies
do you like best for comparing three-digit numbers in
different ways? explain.

Explanation:

Question 1

Step1: Analyze number structure

467 and 463: hundreds (4) and tens (6) digits are equal.

Step2: Identify differing place

Only ones place (7 vs 3) differs. So compare ones place. Because hundreds and tens digits are the same, the ones place determines which number is larger.

Step1: Compare 467 and 463

467 has 7 in ones place, 463 has 3. 7 > 3, so 467 > 463.

Step2: Reverse the comparison

If 467 > 463, then 463 < 467.

Step1: Understand number comparison

When comparing two numbers, if \( A > B \), then \( B < A \).

Step2: Apply to 467 and 463

Since 467 is greater than 463, 463 must be less than 467. So two comparisons (greater than and less than) are possible.

Answer:

Ones place. Because the hundreds and tens digits of 467 and 463 are the same, the ones place (7 vs 3) determines the larger number.

Question 2