Let’s solve this step by step.
We’re working with powers of 10. That means we multiply 10 by itself a certain number of times, based on the exponent (the small number up top).
For example:
10² = 10 × 10 = 100
10³ = 10 × 10 × 10 = 1,000
A quick trick: The exponent tells you how many zeros are in the answer!
So 10⁵ = 1 followed by 5 zeros → 100,000
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Part 1: Find the values
a. 10³ = 10 × 10 × 10 =
1,000
b. 10⁵ = 1 followed by 5 zeros →
100,000
c. 10⁶ = 1 followed by 6 zeros →
1,000,000
d. 10⁴ = 1 followed by 4 zeros →
10,000
e. 10¹ = just
10 (only one zero)
f. 10⁷ = 1 followed by 7 zeros →
10,000,000
g. 10² = 10 × 10 =
100
h. 10⁹ = 1 followed by 9 zeros →
1,000,000,000
i. 10⁸ = 1 followed by 8 zeros →
100,000,000
j. 10¹⁰ = 1 followed by 10 zeros →
10,000,000,000
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Part 2: Write in exponential form
This is the reverse — count the zeros and that’s your exponent!
a. 10,000 → has 4 zeros →
10⁴
b. 1,000 → has 3 zeros →
10³
c. 10 × 10 = 100 → which is 10² →
10²
d. 100 × 100 = 10,000 → 4 zeros →
10⁴
e. 1,000,000 → 6 zeros →
10⁶
f. 1,000 × 1,000 = 1,000,000 → 6 zeros →
10⁶
g. 100 → 2 zeros →
10²
h. 1 × 10 = 10 → 1 zero →
10¹
i. 100,000 → 5 zeros →
10⁵
j. 100 × 10 = 1,000 → 3 zeros →
10³
k. 100,000 → same as i →
10⁵
l. 10,000 × 10 = 100,000 → 5 zeros →
10⁵
Wait — let me double-check part f and k and l to be sure:
f. 1,000 × 1,000 = 1 million → yes, 10⁶ ✔️
k. 100,000 → definitely 10⁵ ✔️
l. 10,000 × 10 = 100,000 → yes, 10⁵ ✔️
Also check c: 10 × 10 = 100 = 10² ✔️
d: 100 × 100 = 10,000 = 10⁴ ✔️
h: 1 × 10 = 10 = 10¹ ✔️
All good!
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Final Answer:
Part 1:
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
Part 2:
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 exponents and powers worksheet.