0.034÷(10)^(-1) =

Rationale

0.034 ÷ (10)^(-1) equals 0.34.

Dividing by \( (10)^{-1} \) is equivalent to multiplying by 10, leading to the calculation of \( 0.034 \times 10 = 0.34 \).

A (0.0034) YOUR ANSWER

This choice results from mistakenly dividing \( 0.034 \) by \( 10 \) instead of multiplying. When dividing by \( (10)^{-1} \), one should multiply \( 0.034 \) by 10, not divide it.

B (0.034) YOUR ANSWER

This answer suggests that no operation was performed on the number, which is incorrect. The operation requires dividing \( 0.034 \) by \( (10)^{-1} \), effectively multiplying by 10, not leaving the number unchanged.

C (0.34) CORRECT

This option is the correct result of the expression \( 0.034 ÷ (10)^{-1} \). The operation effectively becomes \( 0.034 \times 10 \), yielding \( 0.34 \).

D (3.4) YOUR ANSWER

This choice arises from an error in multiplying. While it multiplies \( 0.034 \) by 100 instead of 10, the correct operation only involves multiplying \( 0.034 \) by 10, resulting in \( 0.34 \).

Conclusion

The correct evaluation of \( 0.034 ÷ (10)^{-1} \) leads to \( 0.34 \) due to the property of dividing by a negative exponent of ten, which translates to multiplication by ten. The other options stem from miscalculations or misunderstanding of the division operation, emphasizing the need to correctly interpret exponent rules in arithmetic operations.

0.034÷(10)^(-1) =

0.034 ÷ (10)^(-1) equals 0.34.

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