6 — Practice Exercises

Practice Exercises

Solution & Explanation · ID: B70F703F

Question

Compare these numbers and put them in order from greatest to least: 89,456; 89,546; 89,465

Hint

All numbers have the same ten thousands and thousands digits, so compare the hundreds place first.

Concept

To compare numbers, examine digits from left to right, starting with the highest place value.

Show Answer

89,546 > 89,465 > 89,456

Show Solution
1

Line up the numbers to compare them digit by digit: 89,456; 89,546; 89,465

2

Compare the ten thousands place: all have 8, so move to the next digit

3

Compare the thousands place: all have 9, so move to the next digit

4

Compare the hundreds place: all have 4, so move to the next digit

5

Compare the tens place: 89,456 has 5, 89,546 has 4, 89,465 has 6

6

Since 6 > 5 > 4, we have 89,465 > 89,456 > 89,546

7

Wait - let me recheck the tens place: 89,456 has 5, 89,546 has 4, 89,465 has 6

8

Actually, 89,546 has 5 in hundreds and 4 in tens, so comparing: 89,546 (54) > 89,465 (46) > 89,456 (45)