Which number is equal to 10^-4?

Rationale

0.001 is equal to 10^-4.

The expression 10^-4 represents a number in scientific notation, which indicates that the decimal point should move four places to the left, resulting in the value of 0.001.

A (1000) YOUR ANSWER

The number 1000 is equivalent to 10^3, which signifies that the decimal point moves three places to the right, resulting in a much larger value than 10^-4. Therefore, this choice does not represent a small number but rather a positive integer.

B (100) YOUR ANSWER

The number 100 is equal to 10^2, which also indicates that the decimal point moves two places to the right. This value is significantly larger than 10^-4, making it an incorrect choice.

C (0.01) YOUR ANSWER

The number 0.01 corresponds to 10^-2, which indicates that the decimal point moves two places to the left. While this value is less than 1, it is still larger than 0.001, and thus, it does not equal 10^-4.

D (0.001) CORRECT

The number 0.001 is the correct representation of 10^-4, as moving the decimal point four places to the left from 1 results in 0.001. This directly corresponds to the value indicated by the scientific notation.

Conclusion

In summary, 10^-4 equals 0.001, established by the principles of scientific notation where negative exponents indicate a division by powers of ten. The other choices represent larger values, confirming that only 0.001 accurately reflects the expression 10^-4. Understanding these concepts is crucial in mathematical contexts involving exponential notation.

Which number is equal to 10^-4?

0.001 is equal to 10^-4.

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