Evaluate Expressions Involving Exponents - Math Worksheets ... - Free Printable

Let’s solve each expression one by one. We’ll follow the order of operations: parentheses first, then exponents, then multiplication and division (left to right), then addition and subtraction (left to right).

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1. Expression A: 8 + 13(5 + 5)

First, do what’s inside the parentheses:
5 + 5 = 10

Now multiply:
13 × 10 = 130

Then add:
8 + 130 = 138

So, A = 138 → letter A goes over 138

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2. Expression E: 12 ÷ 3 + 10²

Exponent first:
10² = 100

Division next:
12 ÷ 3 = 4

Addition:
4 + 100 = 104

So, E = 104 → letter E goes over 104

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3. Expression L: 7 × 10³ – 500

Exponent first:
10³ = 1000

Multiply:
7 × 1000 = 7000

Subtract:
7000 – 500 = 6,500

So, L = 6,500 → letter L goes over 6,500

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4. Expression N: 92 – (36 ÷ 4 + 8)

Inside parentheses:
36 ÷ 4 = 9
9 + 8 = 17

Now subtract:
92 – 17 = 75

So, N = 75 → letter N goes over 75

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5. Expression C: 18.5 ÷ (20.8 – 15.8)

Parentheses first:
20.8 – 15.8 = 5.0

Divide:
18.5 ÷ 5.0 = 3.7

So, C = 3.7 → letter C goes over 3.7

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6. Expression D: ½ × (22 + 44 – 6)

Inside parentheses:
22 + 44 = 66
66 – 6 = 60

Multiply by ½:
½ × 60 = 30

So, D = 30 → letter D goes over 30

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Now let’s match all answers with their letters:

- 3.7 → C
- 138 → A
- 75 → N
- 30 → D
- 6,500 → L
- 104 → E

Write the letters in order above the numbers as shown in the table:

| | | | | | |
|-----|-----|-----|-----|-------|-----|
| 3.7 | 138 | 75 | 30 | 6,500 | 104 |
| C | A | N | D | L | E |

That spells: CANDLE

And the riddle says:
“I’m quick when I’m thin and slow when I’m fat. I grow shorter as I grow older. The wind is my enemy.”

That describes a candle!

Final Answer:
CANDLE