Answer :
To convert the expression [tex]\(9.4 \times 10^8\)[/tex] from scientific notation to standard form, you need to move the decimal point in the number 9.4 to the right by 8 places.
Here’s how you can do it step-by-step:
1. Start with the number 9.4. This number has a decimal point right after the 9, making it 9.4.
2. You need to move the decimal point 8 places to the right because the exponent in [tex]\(10^8\)[/tex] is 8.
3. After moving the decimal point 8 places, you fill in with zeros as needed.
- Move 1: 94 (moved 1 place to right)
- Move 2: 940
- Move 3: 9,400
- Move 4: 94,000
- Move 5: 940,000
- Move 6: 9,400,000
- Move 7: 94,000,000
- Move 8: 940,000,000
4. After moving the decimal point 8 places to the right, the new number now becomes 940,000,000.
So, [tex]\(9.4 \times 10^8\)[/tex] in standard form is [tex]\(940,000,000\)[/tex]. Therefore, the correct answer is:
940,000,000
Here’s how you can do it step-by-step:
1. Start with the number 9.4. This number has a decimal point right after the 9, making it 9.4.
2. You need to move the decimal point 8 places to the right because the exponent in [tex]\(10^8\)[/tex] is 8.
3. After moving the decimal point 8 places, you fill in with zeros as needed.
- Move 1: 94 (moved 1 place to right)
- Move 2: 940
- Move 3: 9,400
- Move 4: 94,000
- Move 5: 940,000
- Move 6: 9,400,000
- Move 7: 94,000,000
- Move 8: 940,000,000
4. After moving the decimal point 8 places to the right, the new number now becomes 940,000,000.
So, [tex]\(9.4 \times 10^8\)[/tex] in standard form is [tex]\(940,000,000\)[/tex]. Therefore, the correct answer is:
940,000,000
