Question

skill check
which of the following represents
234,790 in expanded form using
exponents?
a ((2 \times 10^4) + (3 \times 10^3) + (4 \times 10)
b ((2 \times 10^5) + (3 \times 10^4) + (4 \times 10)
c ((2 \times 10^5) + (3 \times 10^4) + (4 \times 10)
d ((2 \times 10^1) + (3 \times 10^2) + (4 \times 10)
click on your answer.

Explanation:

Step1: Identify place values

234,790 = 200,000 + 30,000 + 4,000 + 700 + 90

Step2: Convert to exponent form

200,000 = $2 \times 10^5$, 30,000 = $3 \times 10^4$, 4,000 = $4 \times 10^3$, 700 = $7 \times 10^2$, 90 = $9 \times 10^1$

Step3: Match to options

Combine terms: $(2 \times 10^5) + (3 \times 10^4) + (4 \times 10^3) + (7 \times 10^2) + (9 \times 10^1)$

Answer:

B. $(2 \times 10^5) + (3 \times 10^4) + (4 \times 10^3) + (7 \times 10^2) + (9 \times 10^1)$