Questions: Write the number in scientific notation.
0.00088
Transcript text: Write the number in scientific notation.
\[
0.00088
\]
Solution
Solution Steps
To convert a number to scientific notation, we need to express it as a product of a number between 1 and 10 and a power of 10. For the number 0.00088, we move the decimal point to the right until we have a number between 1 and 10, counting the number of places moved. This count becomes the negative exponent of 10.
Step 1: Express the Number in Scientific Notation
To express the number 0.00088 in scientific notation, we need to rewrite it as a product of a number between 1 and 10 and a power of 10.
Step 2: Move the Decimal Point
Move the decimal point to the right until the number is between 1 and 10. For 0.00088, moving the decimal point four places to the right gives us 8.8.
Step 3: Determine the Exponent
Since we moved the decimal point four places to the right, the exponent of 10 will be −4.
Step 4: Write the Scientific Notation
Combine the number and the exponent to express the original number in scientific notation:
0.00088=8.8×10−4