29. 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?
Answer: C
503720
To express the given expression (5 x 10^5) + (3 x 10^3) + (7 x 10²) + (2 x 10^1) in standard form, we calculate each term: 5 x 10^5 equals 500000, 3 x 10^3 equals 3000, 7 x 10² equals 700, and 2 x 10^1 equals 20. Adding these together results in 503720.
A) 50372
This option is incorrect because it fails to account for the largest term in the expression, which is 500000. The value of 50372 does not represent the sum of all the calculated components accurately.
B) 53072
Option B is also incorrect. While it includes a large number, it significantly underestimates the contribution from the 5 x 10^5 term and does not reflect the correct total when all components are summed.
C) 503720
This is the correct answer. The addition of 500000, 3000, 700, and 20 gives a total of 503720, which accurately represents the expression in standard form.
D) 537200
Option D is incorrect as it overestimates the total value of the expression. The inclusion of 537200 does not align with the calculated sum, as it miscalculates the contributions from the lower-order terms.
Conclusion
The correct answer, 503720, accurately reflects the total of the components from the expression when calculated correctly. All other options either underestimate or overestimate the total, thereby failing to represent the expression in standard form accurately.