Question

4 use the numbers 308 and 380 to make a true comparison.
answer
5 use the digits below to make the greatest three - digit number you can.
4 1 8
explain your answer.

6 josh wants to use the digits from problem 5 to make the least number he can. he writes 184.
is this the least number he can make?
explain your answer.

self check now you can compare three - digit numbers.
fill this in on the progress chart on page 59.

Explanation:

Problem 4

Step1: Compare the two numbers

To compare 308 and 380, we look at the digits from left to right. The hundreds digit is the same (3). Then we look at the tens digit: 0 in 308 and 8 in 380. Since 0 < 8, we can determine the relationship.
So, $308 < 380$ (or $380 > 308$)

To make the greatest three - digit number from the digits 4, 1, 8, we should arrange the digits in descending order. The largest digit among 4, 1, 8 is 8, then 4, and then 1. So we put the largest digit in the hundreds place, the second - largest in the tens place, and the smallest in the ones place.

To make the least three - digit number from the digits 4, 1, 8, we need to arrange the digits in ascending order. The smallest digit is 1, then 4, and then 8. So the least number should be 148. Since 148 < 184, Josh's answer of 184 is not the least number he can make.

Answer:

$308 < 380$ (or $380 > 308$)

Problem 5