Question

what is the expanded form of $0.8^2$?
what is the value of $0.8^2$?
how can you check your answer using whole numbers?
what is the expanded form of $0.08^3$?
what is the value of $0.08^3$?

Explanation:

Step1: Expand $0.8^2$

$0.8^2 = 0.8 \times 0.8$

Step2: Calculate $0.8^2$

$0.8 \times 0.8 = 0.64$

Step3: Check with whole numbers

Convert $0.8 = \frac{8}{10}$, so $0.8^2 = \frac{8^2}{10^2} = \frac{64}{100} = 0.64$

Step4: Expand $0.08^3$

$0.08^3 = 0.08 \times 0.08 \times 0.08$

Step5: Calculate $0.08^3$

$0.08 \times 0.08 = 0.0064$; $0.0064 \times 0.08 = 0.000512$

Answer:

1. Expanded form of $0.8^2$: $0.8 \times 0.8$
2. Value of $0.8^2$: $0.64$
3. Check with whole numbers: Convert $0.8$ to $8$, calculate $8^2=64$, then divide by $10^2=100$ to get $\frac{64}{100}=0.64$
4. Expanded form of $0.08^3$: $0.08 \times 0.08 \times 0.08$
5. Value of $0.08^3$: $0.000512$