Question 21

0.34

When dividing 0.034 by (10)^(-1), we are effectively multiplying 0.034 by 10, which results in 0.34.

A) 0.0034

This option is incorrect because it represents a division by 10 rather than a multiplication. The expression 0.034 ÷ (10)^(-1) is equivalent to 0.034 × 10, leading to a higher value.

B) 0.034

This option is incorrect as it assumes no change to the original number. However, dividing by (10)^(-1) means we are actually multiplying by 10, which increases the value from 0.034 to 0.34.

C) 0.34

This is the correct answer. Dividing 0.034 by (10)^(-1) translates to multiplying 0.034 by 10, resulting in 0.34.

D) 3.4

This option is incorrect because it suggests multiplying 0.034 by 100 instead of 10. The correct operation results in 0.34, not 3.4.

Conclusion

The correct answer is 0.34 because the operation 0.034 ÷ (10)^(-1) simplifies to 0.034 × 10. All other options fail to correctly interpret the operation, leading to values that are either too low or significantly off from the expected result.