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 (5 x 10^5) + (3 x 10^3) + (7 x 10^2) + (2 x 10^1) in standard form.

To solve the expression, we first convert each term to its standard numerical form: (5 x 10^5) = 500000, (3 x 10^3) = 3000, (7 x 10^2) = 700, and (2 x 10^1) = 20. Adding these values together gives us 503720.

A (50372) YOUR ANSWER

This choice represents a value that is significantly lower than the correct answer. The addition has not accounted for the contributions of the larger terms from the expression, particularly the (5 x 10^5) term, which alone accounts for 500000.

B (53072) YOUR ANSWER

This option incorrectly assumes additional value from the smaller terms while failing to include the entirety of the first term (5 x 10^5). The value is still too low because it does not accurately reflect the sum of all terms in the expression.

C (503720) CORRECT

This is the correct value of the given expression. It accurately reflects the sum of all terms calculated in standard form, combining all contributions from the powers of ten correctly.

D (537200) YOUR ANSWER

This choice represents an inflated total that incorrectly sums the components of the expression. The first term is not only miscalculated, but the other terms also do not contribute sufficiently to reach this total, leading to an erroneous result.

Conclusion

The expression (5 x 10^5) + (3 x 10^3) + (7 x 10^2) + (2 x 10^1) computes to 503720 when expressed in standard form. This result highlights the importance of accurately evaluating each term's contribution to reach the correct total, while the other choices illustrate common errors in summation and understanding of exponential notation.

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 (5 x 10^5) + (3 x 10^3) + (7 x 10^2) + (2 x 10^1) in standard form.

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