Math Workbook Grades 4 & 5 Addition,Subtraction,Multiplication,and - Free Printable

Let’s go step by step and solve each problem carefully.

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Part 1: Work out these exponents.

Remember:
- \( a^2 = a \times a \)
- \( a^3 = a \times a \times a \)
- Any number to the power of 1 is itself.
- 1 to any power is always 1.

1) \( 2^3 = 2 \times 2 \times 2 = 8 \)
2) \( 4^2 = 4 \times 4 = 16 \)
3) \( 5^1 = 5 \)
4) \( 10^2 = 10 \times 10 = 100 \)
5) \( 8^2 = 8 \times 8 = 64 \)
6) \( 1^4 = 1 \times 1 \times 1 \times 1 = 1 \)
7) \( 3^3 = 3 \times 3 \times 3 = 27 \)
8) \( 10^3 = 10 \times 10 \times 10 = 1000 \)
9) \( 2^4 = 2 \times 2 \times 2 \times 2 = 16 \)

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Part 2: Subtract or add exponents (show steps)

10) \( 3^2 - 2^3 = 9 - 8 = 1 \) → So: 9 - 8 = 1
11) \( 5^2 + 3^2 = 25 + 9 = 34 \) → So: 25 + 9 = 34
12) \( 10^2 - 7^2 = 100 - 49 = 51 \) → So: 100 - 49 = 51
13) \( 3^3 + 6^2 = 27 + 36 = 63 \) → So: 27 + 36 = 63
14) \( 2^4 - 4^2 = 16 - 16 = 0 \) → So: 16 - 16 = 0
15) \( 9^2 - 8^2 = 81 - 64 = 17 \) → So: 81 - 64 = 17

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Part 3: Use a calculator for bigger numbers

16) \( 5^2 \times 3^3 = 25 \times 27 = 675 \) → So: 25 × 27 = 675
17) \( 10^3 - 29^2 = 1000 - 841 = 159 \) → So: 1000 - 841 = 159
18) \( 5^3 - 3^4 = 125 - 81 = 44 \) → So: 125 - 81 = 44
19) \( 10^4 - 5^5 = 10000 - 3125 = 6875 \) → So: 10000 - 3125 = 6875

*(Note: You can use a calculator here — but we double-checked manually too!)*

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Part 4: Compare using >, <, or =

We calculate both sides first.

First example given:
Left: \( 5^2 - 3^2 = 25 - 9 = 16 \)
Right: \( 30 - 4^2 = 30 - 16 = 14 \)
So 16 > 14 → correct.

Now do the rest:

Row 1:
Left: \( 20 - 3^2 = 20 - 9 = 11 \)
Right: \( 3^2 + 2^3 = 9 + 8 = 17 \)
→ 11 < 17 → so write <

Row 2:
Left: \( 4^2 + 6^2 = 16 + 36 = 52 \)
Right: \( 9^2 - 5^2 = 81 - 25 = 56 \)
→ 52 < 56 → so write <

Row 3:
Left: \( 3^3 - 2^3 = 27 - 8 = 19 \)
Right: \( 10^2 - 9^2 = 100 - 81 = 19 \)
→ 19 = 19 → so write =

Row 4:
Left: \( 2^4 - 5^2 + 3 = 16 - 25 + 3 = (-9) + 3 = -6 \)
Right: \( 6^2 - 3^3 - 20 = 36 - 27 - 20 = 9 - 20 = -11 \)
→ -6 > -11 → so write >

*(Remember: On the number line, -6 is to the right of -11, so it’s greater.)*

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Final Answer:

1) 8
2) 16
3) 5
4) 100
5) 64
6) 1
7) 27
8) 1000
9) 16
10) 9 - 8 = 1
11) 25 + 9 = 34
12) 100 - 49 = 51
13) 27 + 36 = 63
14) 16 - 16 = 0
15) 81 - 64 = 17
16) 25 × 27 = 675
17) 1000 - 841 = 159
18) 125 - 81 = 44
19) 10000 - 3125 = 6875

Comparisons:
20 - 3² ___ 3² + 2³ → <
4² + 6² ___ 9² - 5² → <
3³ - 2³ ___ 10² - 9² → =
2⁴ - 5² + 3 ___ 6² - 3³ - 20 → >