Grade 8 — Evaluate each power. Write large and small numbers in scientific notation. Show your work.
1. A trick combo has 23 possible variations. Evaluate: how many is that?
2. Evaluate 52.
3. A contest video got 104 views. Evaluate: how many views is that?
4. Evaluate 33.
5. In a trick ladder, the number of combos doubles each round: round 1 has 2, round 2 has 4, round 3 has 8 … How many combos are in round 6? Write your answer as a power of 2 and evaluate it.
6. A yo-yo spins about 2 × 103 times in one long sleeper. Write this number in standard form.
7. A viral yo-yo video reached 4,500,000 views. Write this number in scientific notation.
8. A high-speed camera captures a trick at 0.00032 seconds per frame. Write this number in scientific notation.
| 1. 8 (2×2×2 = 8) | 2. 25 (5×5 = 25) |
| 3. 10,000 (10×10×10×10) | 4. 27 (3×3×3 = 27) |
| 5. 26 = 64 (2×2×2×2×2×2 = 64) | 6. 2,000 (2×1,000) |
| 7. 4.5 × 106 | 8. 3.2 × 10−4 (decimal moves 4 places right) |