Questions: Write the number in scientific notation. 0.00088

Write the number in scientific notation.

0.00088
Transcript text: Write the number in scientific notation. \[ 0.00088 \]
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Solution

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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 0.000880.00088 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 0.000880.00088, moving the decimal point four places to the right gives us 8.88.8.

Step 3: Determine the Exponent

Since we moved the decimal point four places to the right, the exponent of 10 will be 4-4.

Step 4: Write the Scientific Notation

Combine the number and the exponent to express the original number in scientific notation: 0.00088=8.8×104 0.00088 = 8.8 \times 10^{-4}

Final Answer

8.8×104 \boxed{8.8 \times 10^{-4}}

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