To write the numbers in expanded form using exponents, we express each digit based on its place value using powers of 10. Here's the solution:

a. 2357.32

$2 \times 10^3 + 3 \times 10^2 + 5 \times 10^1 + 7 \times 10^0 + 3 \times 10^{-1} + 2 \times 10^{-2}$

b. 439.88

$4 \times 10^2 + 3 \times 10^1 + 9 \times 10^0 + 8 \times 10^{-1} + 8 \times 10^{-2}$

c. 38.032

$3 \times 10^1 + 8 \times 10^0 + 0 \times 10^{-1} + 3 \times 10^{-2} + 2 \times 10^{-3}$

d. 926.53

$9 \times 10^2 + 2 \times 10^1 + 6 \times 10^0 + 5 \times 10^{-1} + 3 \times 10^{-2}$

e. 812.27

$8 \times 10^2 + 1 \times 10^1 + 2 \times 10^0 + 2 \times 10^{-1} + 7 \times 10^{-2}$

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Related Questions:

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3. Write 1032.045 in expanded form with powers of 10.
4. Express 80.021 in expanded form using exponents.
5. How would you write 500.005 using powers of 10?

Tip:

Expanded form using exponents helps us understand how each digit contributes to the overall number based on its place value.