To write the number 0.002736 in standard form, follow these steps:
1. Identify the Decimal Point: Start with the number 0.002736.
2. Move the Decimal Point: Move the decimal point to the right until you have a number between 1 and 10. In this case, you move the decimal three places to the right to get 2.736.
3. Count the Number of Places Moved: Keep track of how many places the decimal point was moved. Here, the decimal moved three places to the right.
4. Determine the Exponent: Because you moved the decimal 3 places to the right, the exponent will be negative. The exponent is -3.
5. Write in Standard Form: Combine the number between 1 and 10 with the power of 10.
Therefore, 0.002736 written in standard form is:
[tex]\[ 2.736 \times 10^{-3} \][/tex]
This means the number is 2.736 multiplied by 10 raised to the power of -3.
