Worksheet for practicing powers of 10, including calculating values and writing numbers in exponential form.

Explanation:
Let’s solve each part step by step.

Part 1: Find the values of the powers of 10

Remember:
- $10^n$ means 1 followed by $n$ zeros.
- For example:
- $10^1 = 10$
- $10^2 = 100$
- $10^3 = 1{,}000$
- and so on.

Now compute each:

a. $10^3 = 10 \times 10 \times 10 = 1{,}000$
b. $10^5 = 10 \times 10 \times 10 \times 10 \times 10 = 100{,}000$
c. $10^6 = 1{,}000{,}000$
d. $10^4 = 10{,}000$
e. $10^1 = 10$
f. $10^7 = 10{,}000{,}000$
g. $10^2 = 100$
h. $10^9 = 1{,}000{,}000{,}000$
i. $10^8 = 100{,}000{,}000$
j. $10^{10} = 10{,}000{,}000{,}000$ (1 followed by 10 zeros)

✔ Double-check: Count the zeros — exponent = number of zeros after 1.

Part 2: Write in exponential form

We want to express each number as $10^n$, where $n$ is how many zeros it has (if it's just 1 followed by zeros), or combine using multiplication rules.

Recall:
- $10^a \times 10^b = 10^{a+b}$
- $10 \times 10 = 10^2$, etc.

Now go one by one:

a. $10{,}000 = 1$ followed by 4 zeros → $10^4$
b. $1{,}000 = 10^3$
c. $10 \times 10 = 10^2$
d. $100 \times 100 = (10^2) \times (10^2) = 10^{2+2} = 10^4$
e. $1{,}000{,}000 = 10^6$
f. $1{,}000 \times 1{,}000 = 10^3 \times 10^3 = 10^6$
g. $100 = 10^2$
h. $1 \times 10 = 10^1$
i. $100{,}000 = 10^5$
j. $100 \times 10 = 10^2 \times 10^1 = 10^3$
k. $100{,}000 = 10^5$ (same as i — maybe a repeat, but still correct)
l. $10{,}000 \times 10 = 10^4 \times 10^1 = 10^5$

Let me verify duplicates:
- i and k both are 100,000 → both $10^5$. That’s fine — possibly intentional repetition for practice.

All answers now confirmed.

Final Answer:
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

a. $10^4$
b. $10^3$
c. $10^2$
d. $10^4$
e. $10^6$
f. $10^6$
g. $10^2$
h. $10^1$
i. $10^5$
j. $10^3$
k. $10^5$
l. $10^5$