Question

tutorial exercise
write the number in scientific notation.
thickness of soap bubble: 0.00000001 meter
step 1
in order to get one digit to the left of the decimal point, it needs to be shifted
places to the
.
this indicates that we need a
exponent.
submit
skip (you cannot come back)
this question has several parts that must be completed sequentially. if you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.

Explanation:

Step1: Identify the number of shifts

To write \(0.00000001\) in scientific notation, we need to move the decimal point to the right until there is one non - zero digit to the left of the decimal point. The original number is \(0.00000001\), and we need to move the decimal point 8 places to the right. In scientific notation, a number is written as \(a\times10^{n}\), where \(1\leqslant|a|\lt10\) and \(n\) is an integer. For a number less than 1, \(n\) is negative and its absolute value is the number of places we move the decimal point to the right. So for \(0.00000001\), \(a = 1\) and \(n=- 8\), and the scientific notation is \(1\times10^{-8}\). But for the step in the question, to get one digit to the left of the decimal point, the decimal point needs to be shifted 8 places to the right.

Step2: Determine the exponent

Since we moved the decimal point 8 places to the right, the exponent in the scientific notation (when the number is in the form \(a\times10^{n}\)) will be - 8. But in the context of the step (shifting to get one digit left of decimal), the number of places shifted is 8, and the direction is right. So the first select (for the direction - but in the text, it's about shifting to get one digit left, so we shift right) and the number of places is 8. Then the exponent will be - 8. But let's focus on the step: "In order to get one digit to the left of the decimal point, it needs to be shifted \(\boldsymbol{8}\) places to the right. This indicates that we need a \(\boldsymbol{- 8}\) exponent."

Answer:

The number of places to shift the decimal point is 8 (to the right), and the exponent is - 8. So for the first "Select" (number of places shifted) - 8 (but since it's about shifting to get one digit left, we shift right 8 places), and for the exponent - 8. If we consider the blanks: the first blank (places to shift) is 8, the direction is right, and the exponent is - 8. So the answers are 8 (for the number of places shifted) and - 8 (for the exponent).