Answer :
To solve the expression [tex]\(8.4 \times 10^2\)[/tex] and determine which option matches the result, follow these steps:
1. Understand the concept of scientific notation: Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. In the expression [tex]\(8.4 \times 10^2\)[/tex], the term [tex]\(10^2\)[/tex] means [tex]\(10\)[/tex] raised to the power of [tex]\(2\)[/tex].
2. Compute [tex]\(10^2\)[/tex]:
[tex]\[
10^2 = 10 \times 10 = 100
\][/tex]
3. Multiply the result by 8.4:
[tex]\[
8.4 \times 100 = 840
\][/tex]
Therefore, the expression [tex]\(8.4 \times 10^2\)[/tex] equals 840.
Now, compare this result with the given choices:
- A. 840
- B. 84
- C. 8,400
- D. 84
The correct answer is:
A. 840
1. Understand the concept of scientific notation: Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. In the expression [tex]\(8.4 \times 10^2\)[/tex], the term [tex]\(10^2\)[/tex] means [tex]\(10\)[/tex] raised to the power of [tex]\(2\)[/tex].
2. Compute [tex]\(10^2\)[/tex]:
[tex]\[
10^2 = 10 \times 10 = 100
\][/tex]
3. Multiply the result by 8.4:
[tex]\[
8.4 \times 100 = 840
\][/tex]
Therefore, the expression [tex]\(8.4 \times 10^2\)[/tex] equals 840.
Now, compare this result with the given choices:
- A. 840
- B. 84
- C. 8,400
- D. 84
The correct answer is:
A. 840
