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week 5: understanding scientific notation pt. 1 due nov 30 by 11:59pm p…

Question

week 5: understanding scientific notation pt. 1
due nov 30 by 11:59pm points 10 submitting an external tool
if the number 0.000088 is written in scientific notation, it will be in the form $8.8 \times 10^n$. what is the value of $n$?
select the correct answer below:
$n = 7$
$n = 4$
$n = -5$
$n = -7$
$n = 5$
$n = -4$

Explanation:

Step1: Recall scientific notation rules

Scientific notation is \(a\times10^{n}\), where \(1\leqslant|a|\lt10\). For a number \(x = 0.000088\), we move the decimal point.

Step2: Count decimal - point movement

Starting from \(0.000088\), move the decimal point 5 places to the right to get \(a = 8.8\). Since we move the decimal point to the right for a number between \(0\) and \(1\), \(n\) is negative.

Answer:

\(n=- 5\)