Math worksheet focusing on absolute values and opposites with multiple-choice and fill-in-the-blank problems.

Let’s go step by step to solve each part of the worksheet.

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Part 1: State the opposite of each number shown.

The “opposite” of a number means the same distance from zero on the number line, but on the other side. So:

- Opposite of -3 → +3
- Opposite of 42 → -42
- Opposite of 38.7 → -38.7
- Opposite of -1¾ → +1¾ (or +1.75)
- Opposite of -1,230 → +1,230
- Opposite of 8,116.13 → -8,116.13

✔ Answers:
a. 3
b. -42
c. -38.7
d. 1¾ or 1.75
e. 1,230
f. -8,116.13

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Part 2: State the absolute value of each number.

Absolute value means how far a number is from zero — always positive (or zero).

- |−6| = 6
- |810| = 810
- |−49| = 49
- |−7.91| = 7.91
- |97¼| = 97¼ (or 97.25)
- |−2,000| = 2,000

✔ Answers:
g. 6
h. 810
i. 49
j. 7.91
k. 97¼ or 97.25
l. 2,000

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Part 3: Circle the correct answer for each.

We compare numbers and their opposites or values.

m. Which is greater? the opposite of -4 OR |5|
→ Opposite of -4 = +4
→ |5| = 5
→ 5 > 4 → circle |5|

n. Which is less? the opposite of 17 OR |17|
→ Opposite of 17 = -17
→ |17| = 17
→ -17 < 17 → circle the opposite of 17

o. Which is greater? the opposite of 1 OR 0
→ Opposite of 1 = -1
→ -1 < 0 → so 0 is greater → circle 0

p. Which is greater? the opposite of -2 OR the opposite of 2
→ Opposite of -2 = +2
→ Opposite of 2 = -2
→ 2 > -2 → circle the opposite of -2

q. Which is less? 10 less than 0 OR the opposite of 12
→ 10 less than 0 = -10
→ Opposite of 12 = -12
→ -12 < -10 → circle the opposite of 12

r. Which is less? |99| OR |98|
→ |99| = 99, |98| = 98 → 98 < 99 → circle |98|

s. Which is greater? |-1,224| OR the opposite of -1,242
→ |-1,224| = 1,224
→ Opposite of -1,242 = +1,242
→ 1,242 > 1,224 → circle the opposite of -1,242

✔ Final choices:
m. |5|
n. the opposite of 17
o. 0
p. the opposite of -2
q. the opposite of 12
r. |98|
s. the opposite of -1,242

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Final Answer:

Part 1:
a. 3
b. -42
c. -38.7
d. 1¾ (or 1.75)
e. 1,230
f. -8,116.13

Part 2:
g. 6
h. 810
i. 49
j. 7.91
k. 97¼ (or 97.25)
l. 2,000

Part 3:
m. |5|
n. the opposite of 17
o. 0
p. the opposite of -2
q. the opposite of 12
r. |98|
s. the opposite of -1,242