Question
Multiply. scientific notation
4(5×102)
4(5×102)
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Answered by
GPT-4o mini
To multiply \( 4 \) by \( 5 \times 10^2 \) in scientific notation, you can follow these steps:
1. Multiply the coefficients (the numbers in front):
\[
4 \times 5 = 20
\]
2. Since we are dealing with scientific notation, we need to express \( 20 \) in a proper scientific notation form. \( 20 \) can be expressed as:
\[
2.0 \times 10^1
\]
3. Now, we can combine this result with \( 10^2 \):
\[
2.0 \times 10^1 \times 10^2
\]
4. When multiplying powers of ten, you add the exponents:
\[
10^1 \times 10^2 = 10^{1+2} = 10^3
\]
5. Therefore, the final result in scientific notation is:
\[
2.0 \times 10^3
\]
So, \( 4(5 \times 10^2) = 2.0 \times 10^3 \).
1. Multiply the coefficients (the numbers in front):
\[
4 \times 5 = 20
\]
2. Since we are dealing with scientific notation, we need to express \( 20 \) in a proper scientific notation form. \( 20 \) can be expressed as:
\[
2.0 \times 10^1
\]
3. Now, we can combine this result with \( 10^2 \):
\[
2.0 \times 10^1 \times 10^2
\]
4. When multiplying powers of ten, you add the exponents:
\[
10^1 \times 10^2 = 10^{1+2} = 10^3
\]
5. Therefore, the final result in scientific notation is:
\[
2.0 \times 10^3
\]
So, \( 4(5 \times 10^2) = 2.0 \times 10^3 \).
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