College

The number [tex]8.114 \times 10^3[/tex] can be expressed in standard form as:

A. 8,114,000
B. 8,114
C. 0.0008114
D. 0.008114

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