Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

which number is equal to \\(10^{-3}\\)? -1,000 -30 0.001 0.003

Question

which number is equal to \\(10^{-3}\\)?

-1,000
-30
0.001
0.003

Explanation:

Apply the negative exponent rule

$$ 10^{-3} = \frac{1}{10^3} $$

Evaluate the power in the denominator

$$ 10^3 = 10 \times 10 \times 10 = 1,000 $$

Convert the fraction to a decimal

$$ \frac{1}{1,000} = 0.001 $$

Answer:

  • (A) \(-1,000\)
  • (B) \(-30\)
  • (C) \(0.001\) (Correct answer)
  • (D) \(0.003\)