Question 13

0.0001 is equal to 10^-4

The number equal to \(10^{-4}\) is 0.0001, which is represented as 0.001 in decimal form.

A) 1000

This option is incorrect because 1000 is equal to \(10^3\), not \(10^{-4}\). The value of 1000 is significantly larger than \(10^{-4}\).

B) 100

This option is also incorrect. The number 100 corresponds to \(10^2\), which is again much larger than \(10^{-4}\) and does not represent the same magnitude.

C) 0.01

This choice is incorrect because 0.01 is equal to \(10^{-2}\), which does not match \(10^{-4}\). It is a higher value than what is represented by \(10^{-4}\).

D) 0.001

This is the correct option, as 0.001 is equal to \(10^{-3}\). However, it should be noted that 0.0001 is the actual decimal representation of \(10^{-4}\). Therefore, this option should be corrected to reflect the proper equivalence.

Conclusion

The answer to the question regarding which number equals \(10^{-4}\) is 0.0001, but the closest representation in the options provided is 0.001. All other options (1000, 100, and 0.01) fail to represent the value of \(10^{-4}\) accurately, as they correspond to significantly different powers of ten.