Certainly! To write the number 1,504,000,000 in scientific notation, we will follow these steps:
1. Move the Decimal to Form a Coefficient Between 1 and 10:
- The original number is 1,504,000,000.
- To convert this to scientific notation, we need to move the decimal point such that we get a number between 1 and 10.
- Moving the decimal point to between the 1 and the 5 in 1,504,000,000 gives us 1.504.
2. Count the Decimal Places Moved:
- In the original number 1,504,000,000, the decimal point is implicitly at the end (i.e., 1,504,000,000.0).
- By moving the decimal point from the end of the number to between the 1 and 5, we have to move it 9 places to the left.
3. Express the Number with an Exponent of 10:
- The number of places you moved the decimal becomes the exponent with a base of 10.
- Since we moved the decimal 9 places to the left, the exponent will be positive 9.
4. Write the Final Scientific Notation:
- Combine the coefficient (the number we derived after moving the decimal) with the power of 10.
- Therefore, 1,504,000,000 in scientific notation is written as: [tex]\(1.504 \times 10^9\)[/tex].
So, 1,504,000,000 in scientific notation is [tex]\(1.504 \times 10^9\)[/tex].
