Absolute Value Worksheets - Free Printable

Let’s solve each part step by step.

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Part 1: Find the absolute values.

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

a. | -4 | → distance from 0 is 4
b. | 26 | → already positive, so 26
c. | -18 | → distance from 0 is 18
d. | -3 | → distance from 0 is 3
e. | -44 | → distance from 0 is 44
f. | 65 | → already positive, so 65
g. | -99 | → distance from 0 is 99
h. | -6 | → distance from 0 is 6
i. | -128 | → distance from 0 is 128
j. | 28 | → already positive, so 28

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Part 2: Compare using <, >, or =

We compare the actual numbers after taking absolute values where needed.

k. | -4 | ___ | -5 | → 4 ___ 5 → <
l. 17 ___ | -17 | → 17 ___ 17 → =
m. | 29 | ___ | -29 | → 29 ___ 29 → =
n. 58 ___ | -59 | → 58 ___ 59 → <
o. 30 ___ | -28 | → 30 ___ 28 → >
p. | -7 | ___ 0 → 7 ___ 0 → >
q. | 86 | ___ | -68 | → 86 ___ 68 → >
r. | 14 | ___ -14 → 14 ___ -14 → > (positive is always greater than negative)
s. | -156 | ___ | -165 | → 156 ___ 165 → <
t. | 3 | ___ | -3 | → 3 ___ 3 → =

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Part 3: Solve equations with absolute value

If |x| = 100, then x can be 100 or -100 — because both are 100 away from zero.

u. |a| = 7 → a = 7 and a = -7
v. |p| = 41 → p = 41 and p = -41
w. |y| = 256 → y = 256 and y = -256

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Final Answer:

a. 4
b. 26
c. 18
d. 3
e. 44
f. 65
g. 99
h. 6
i. 128
j. 28

k. <
l. =
m. =
n. <
o. >
p. >
q. >
r. >
s. <
t. =

u. a = 7 and a = -7
v. p = 41 and p = -41
w. y = 256 and y = -256