Question

comparing integers
we can use a number line to compare the value of integers. integers to the right of the number line are greater in value than integers to the left of the number line.
since -1 is to the left of 4, -1 is less than 4.
compare the integers using > or <.

1. 3 □ -12
2. -7 □ -13
3. -25 □ -16
4. 12 □ -3
5. 5 □ -9
6. -2 □ 0
7. 22 □ -22
8. -5 □ -50
9. -32 □ -17
10. -53 □ -18
11. -10 □ -24
12. 21 □ -75

circle the statement in each group that is not true.

1. 2 > -2 -12 < 8 9 < -19 12 > -5
2. -25 < -27 25 < 27 -25 > -27 -44 < 4
3. -18 < 8 -9 > 2 17 > -20 9 > -99

Explanation:

Step1: Recall number - line rule

Integers to the right of others on number - line are greater.

Step2: Compare 3 and - 12

3 is to the right of - 12 on number - line, so 3 > - 12.

Step3: Compare - 7 and - 13

• 7 is to the right of - 13 on number - line, so - 7 > - 13.

Step4: Compare - 25 and - 16

• 16 is to the right of - 25 on number - line, so - 25 < - 16.

Step5: Compare 12 and - 3

12 is to the right of - 3 on number - line, so 12 > - 3.

Step6: Compare 5 and - 9

5 is to the right of - 9 on number - line, so 5 > - 9.

Step7: Compare - 2 and 0

0 is to the right of - 2 on number - line, so - 2 < 0.

Step8: Compare 22 and - 22

22 is to the right of - 22 on number - line, so 22 > - 22.

Step9: Compare - 5 and - 50

• 5 is to the right of - 50 on number - line, so - 5 > - 50.

Step10: Compare - 32 and - 17

• 17 is to the right of - 32 on number - line, so - 32 < - 17.

Step11: Compare - 53 and - 18

• 18 is to the right of - 53 on number - line, so - 53 < - 18.

Step12: Compare - 10 and - 24

• 10 is to the right of - 24 on number - line, so - 10 > - 24.

Step13: Compare 21 and - 75

21 is to the right of - 75 on number - line, so 21 > - 75.

Step14: Analyze 13th set

2 > - 2 is true, - 12 < 8 is true, 9 < - 19 is false, 12 > - 5 is true.

Step15: Analyze 14th set

• 25 < - 27 is false, 25 < 27 is true, - 25 > - 27 is true, - 44 < 4 is true.

Step16: Analyze 15th set

• 18 < 8 is true, - 9 > 2 is false, 17 > - 20 is true, 9 > - 99 is true.

Answer:

1. 3 > - 12
2. - 7 > - 13
3. - 25 < - 16
4. 12 > - 3
5. 5 > - 9
6. - 2 < 0
7. 22 > - 22
8. - 5 > - 50
9. - 32 < - 17
10. - 53 < - 18
11. - 10 > - 24
12. 21 > - 75
13. Circle 9 < - 19
14. Circle - 25 < - 27
15. Circle - 9 > 2