Answer :
To express the number [tex]\(8.114 \times 10^3\)[/tex] in standard form, we need to convert it from scientific notation. Here's how you can do that step-by-step:
1. Understand that the scientific notation [tex]\(8.114 \times 10^3\)[/tex] means we're multiplying 8.114 by 10 raised to the power of 3.
2. Multiplying by [tex]\(10^3\)[/tex] is the same as moving the decimal point 3 places to the right.
3. Starting with 8.114, move the decimal point three places to the right:
- Move once: 81.14
- Move twice: 811.4
- Move a third time: 8114
4. After moving the decimal point three places to the right, the number becomes 8114.
So, [tex]\(8.114 \times 10^3\)[/tex] in standard form is 8114. Therefore, the correct option is:
b.) 8114
1. Understand that the scientific notation [tex]\(8.114 \times 10^3\)[/tex] means we're multiplying 8.114 by 10 raised to the power of 3.
2. Multiplying by [tex]\(10^3\)[/tex] is the same as moving the decimal point 3 places to the right.
3. Starting with 8.114, move the decimal point three places to the right:
- Move once: 81.14
- Move twice: 811.4
- Move a third time: 8114
4. After moving the decimal point three places to the right, the number becomes 8114.
So, [tex]\(8.114 \times 10^3\)[/tex] in standard form is 8114. Therefore, the correct option is:
b.) 8114
