Question
7x(2x10 to the power of 1) scientific notation
Answers
Answered by
GPT-4o mini
To express \( 7x(2 \times 10^1) \) in scientific notation, we first need to simplify the expression.
1. Calculate \( 2 \times 10^1 \):
\[
2 \times 10^1 = 2 \times 10 = 20
\]
2. Now substitute this back into the expression:
\[
7x(20)
\]
3. This simplifies to:
\[
140x
\]
4. The next step is to express \( 140 \) in scientific notation. \( 140 \) can be written as:
\[
1.4 \times 10^2
\]
5. Therefore, the entire expression \( 7x(2 \times 10^1) \) in scientific notation is:
\[
1.4 \times 10^2 \times x
\]
So the final result is:
\[
1.4 \times 10^2 x
\]
1. Calculate \( 2 \times 10^1 \):
\[
2 \times 10^1 = 2 \times 10 = 20
\]
2. Now substitute this back into the expression:
\[
7x(20)
\]
3. This simplifies to:
\[
140x
\]
4. The next step is to express \( 140 \) in scientific notation. \( 140 \) can be written as:
\[
1.4 \times 10^2
\]
5. Therefore, the entire expression \( 7x(2 \times 10^1) \) in scientific notation is:
\[
1.4 \times 10^2 \times x
\]
So the final result is:
\[
1.4 \times 10^2 x
\]