5th Grade Integers Worksheet | Addition and Subtraction of Integers - Free Printable

Let’s solve each part step by step.

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1. Find the given integers:

(i) Opposite of 71
→ The opposite means change the sign. So, opposite of 71 is -71

(ii) Opposite of -42
→ Change the sign: opposite of -42 is 42

(iii) |-71|
→ This is absolute value — it means how far from zero, so always positive.
|-71| = 71

(iv) 4 more than -7
→ Start at -7 and add 4:
-7 + 4 = -3

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2. Find the value of the following:

(i) 81 + 16
→ Just add them: 81 + 16 = 97

(ii) -20 - 12
→ Subtracting 12 from -20 is like going further left on number line:
-20 - 12 = -32

(iii) 20 - 55
→ 20 minus 55: since 55 is bigger, answer will be negative.
55 - 20 = 35 → so 20 - 55 = -35

(iv) -6 - 3
→ Start at -6, go down 3 more:
-6 - 3 = -9

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3. Write true or false for the given statements.

(i) Zero is the smallest integer.
→ False! Integers go infinitely in both directions. There are negative integers smaller than zero (like -1, -2, etc.).
So, False

(ii) The smallest negative integer is -1.
→ False! Again, there’s no “smallest” negative integer — you can keep going: -2, -3, -100, etc. But if they mean “closest to zero”, then yes, -1 is the greatest negative integer. But “smallest”? No.
Actually, this statement is tricky — but in math, “smallest” usually means most negative. Since there’s no end, there’s no smallest. But sometimes people say -1 is the “largest” negative integer. So saying it’s the “smallest” is wrong.
→ False

Wait — let me double-check common teaching: In many 5th grade contexts, they might think of “smallest negative integer” as the one closest to zero? Actually no — standard definition: smaller means more negative. So -5 is smaller than -1. So there is NO smallest negative integer. Therefore, statement says “the smallest... is -1” — which is not true because -2 is smaller. So still False

But wait — maybe the question meant “greatest”? Let’s read again: “The smallest negative integer is -1.” That’s incorrect. Because -2 < -1. So False

(iii) 0 is greater than -4.
→ Yes! On number line, 0 is to the right of -4. So 0 > -4 → True

(iv) -16 is greater than -26.
→ Compare: -16 is closer to zero than -26. So yes, -16 > -26 → True

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Final Answer:

1.
(i) -71
(ii) 42
(iii) 71
(iv) -3

2.
(i) 97
(ii) -32
(iii) -35
(iv) -9

3.
(i) False
(ii) False
(iii) True
(iv) True