What is the value of the expression (5 x 10^5) + (3 x 10^3) + (7 x 10²) + (2 x 10^1), when written in standard form?

Rationale

503720 is the value of the expression when written in standard form.

To simplify the expression (5 x 10^5) + (3 x 10^3) + (7 x 10²) + (2 x 10^1), we convert each term to standard numerical form and then add them together. This gives us the total value of 503720.

A (50372) YOUR ANSWER

This choice results from an incorrect addition of the terms. While the first term (5 x 10^5) correctly translates to 500000, the subsequent terms are not accurately summed to yield the total. The omission of significant digits from the higher powers of ten leads to this erroneous lower number.

B (53072) YOUR ANSWER

This option reflects an incorrect summation where the first term (5 x 10^5) is improperly combined with the subsequent terms. The calculation fails to account for the correct value of 500000, leading to a mistakenly lower total that does not represent the original expression.

C (503720) CORRECT

This is the correct answer. When converting each term, we have 500000 (from 5 x 10^5), 3000 (from 3 x 10^3), 700 (from 7 x 10^2), and 20 (from 2 x 10^1). Adding these values results in 503720, which accurately represents the expression in standard form.

D (537200) YOUR ANSWER

This choice indicates a significant overestimation of the original expression. It appears that the terms were incorrectly added, possibly by miscalculating the contributions from the lower power terms and mistakenly inflating the total value.

Conclusion

The expression (5 x 10^5) + (3 x 10^3) + (7 x 10²) + (2 x 10^1) evaluates to 503720 when expressed in standard form. This result underscores the importance of accurately converting and summing each term based on its power of ten, as seen in the correct answer. The other options reflect various miscalculations, emphasizing the need for careful arithmetic in expressions involving powers of ten.

What is the value of the expression (5 x 10^5) + (3 x 10^3) + (7 x 10²) + (2 x 10^1), when written in standard form?

503720 is the value of the expression when written in standard form.

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