Question
Which of the following equals 0.000001 ? \( 1 \times 10^{-6} \) \( 1 \times 10^{-8} \) \( 1 \times 10^{-7} \) \( 1 \times 10^{-5} \)
Ask by Barrett Schofield. in the United States
Feb 28,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
0.000001 equals \( 1 \times 10^{-6} \).
Solution
0.000001 can be written as 1 × 10^(-6), because 10^(-6) is equivalent to 1 divided by 1,000,000, which equals 0.000001.
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The notation \( 1 \times 10^{-6} \) represents a number in scientific notation, where the exponent indicates the power of ten by which the number is multiplied. So, \( 1 \times 10^{-6} \) equals 0.000001, because moving the decimal point six places to the left gives us precisely that value! On the other hand, numbers like \( 1 \times 10^{-5} \) represent 0.00001, which is ten times larger than 0.000001, and continuing down the list, \( 1 \times 10^{-7} \) gives you 0.0000001, while \( 1 \times 10^{-8} \) results in 0.00000001. So, when it comes to pinpointing which equals 0.000001, that singular champion is \( 1 \times 10^{-6} \)!
