Let’s work through each part step by step.
---
Part 1: Find the values of the following powers of 10
Remember:
When you see “10 raised to a power” (like 10³), it means multiply 10 by itself that many times.
Also, an easy trick:
the exponent tells you how many zeros are after the 1.
So:
a. 10³ = 10 × 10 × 10 = 1,000 → three zeros
b. 10⁵ = 100,000 → five zeros
c. 10⁶ = 1,000,000 → six zeros
d. 10⁴ = 10,000 → four zeros
e. 10¹ = 10 → one zero (or just 10)
f. 10⁷ = 10,000,000 → seven zeros
g. 10² = 100 → two zeros
h. 10⁹ = 1,000,000,000 → nine zeros
i. 10⁸ = 100,000,000 → eight zeros
j. 10¹⁰ = 10,000,000,000 → ten zeros
✔ All checked — correct!
---
Part 2: Write in exponential form
We need to write numbers as 10 raised to some power.
Recall: Count the number of zeros → that’s your exponent.
a. 10,000 → 4 zeros → 10⁴
b. 1,000 → 3 zeros → 10³
c. 10 × 10 = 100 → which is 10²
d. 100 × 100 = (10²) × (10²) = 10⁴ → because when multiplying same base, add exponents: 2 + 2 = 4
e. 1,000,000 → 6 zeros → 10⁶
f. 1,000 × 1,000 = (10³) × (10³) = 10⁶ → again, 3+3=6
g. 100 → 2 zeros → 10²
h. 1 × 10 = 10 → 10¹
i. 100,000 → 5 zeros → 10⁵
j. 100 × 10 = (10²) × (10¹) = 10³ → 2+1=3
k. 100,000 → same as i → 10⁵
l. 10,000 × 10 = (10⁴) × (10¹) = 10⁵ → 4+1=5
✔ All checked — correct!
---
Final Answer:
Powers of 10:
a. 1,000
b. 100,000
c. 1,000,000
d. 10,000
e. 10
f. 10,000,000
g. 100
h. 1,000,000,000
i. 100,000,000
j. 10,000,000,000
Exponential Form:
a. 10⁴
b. 10³
c. 10²
d. 10⁴
e. 10⁶
f. 10⁶
g. 10²
h. 10¹
i. 10⁵
j. 10³
k. 10⁵
l. 10⁵
Parent Tip: Review the logic above to help your child master the concept of power and exponents worksheets.