Which number is equal to 2.7 x 10⁻³?

Rationale

2.7 x 10⁻³ is equal to 0.0027.

The expression 2.7 x 10⁻³ represents a number in scientific notation, where the negative exponent indicates that the decimal point moves three places to the left, resulting in 0.0027.

A (0.027) YOUR ANSWER

This value is equivalent to 2.7 x 10⁻², not 2.7 x 10⁻³. The decimal shift for the exponent of -2 moves the decimal point two places to the left, leading to a greater value than that represented by -3.

B (0.0027) CORRECT

This is the correct interpretation of 2.7 x 10⁻³. By moving the decimal point three places to the left from 2.7, we arrive at 0.0027, correctly reflecting the value of the original scientific notation.

C (0.00027) YOUR ANSWER

This value corresponds to 2.7 x 10⁻⁴, which is a further shift of the decimal point to the left by four places. This results in a number that is ten times smaller than what is represented by 2.7 x 10⁻³.

D (2700) YOUR ANSWER

This number results from interpreting 2.7 x 10², where the decimal point shifts two places to the right instead of to the left. This significant increase in value does not correspond to the scientific notation with a negative exponent.

Conclusion

Understanding scientific notation is essential for interpreting numbers accurately. In this case, 2.7 x 10⁻³ converts to 0.0027, demonstrating how negative exponents indicate a shift to smaller values. The other options reflect either incorrect shifts or misunderstandings of the notation, underscoring the importance of precision in mathematical representation.

Which number is equal to 2.7 x 10⁻³?

2.7 x 10⁻³ is equal to 0.0027.

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