I'll solve this problem by comparing each pair of rational numbers and determining whether the first is greater than, less than, or equal to the second.
Let me go through each pair one by one:
1. -2.5 vs -2 1/2
-2.5 is the same as -2 1/2 (since 0.5 = 1/2)
So: -2.5 = -2 1/2
2. -3 vs 0
Negative numbers are always less than 0
So: -3 < 0
3. -19/9 vs 13/4
-19/9 is negative, 13/4 is positive
Negative numbers are always less than positive numbers
So: -19/9 < 13/4
4. 17/8 vs 8/2
17/8 = 2.125
8/2 = 4
2.125 < 4
So: 17/8 < 8/2
5. 0 vs -1
0 is greater than any negative number
So: 0 > -1
6. 1/10 vs 0.1
1/10 = 0.1
So: 1/10 = 0.1
7. 1/2 vs -1/2
Positive numbers are always greater than negative numbers
So: 1/2 > -1/2
8. 12/12 vs -1
12/12 = 1
1 > -1
So: 12/12 > -1
The completed worksheet should have the following symbols in the circles:
- First row: =, <
- Second row: <, <
- Third row: >, =
- Fourth row: >, >
This completes the task of comparing rational numbers.
Parent Tip: Review the logic above to help your child master the concept of rational numbers worksheet grade 6.
