Question

Multiply. Write your product in scientific notation.%0D%0A%0D%0A(1.25×103)⋅(3.2×102)%0D%0A(%0D%0A1.25%0D%0A×%0D%0A10%0D%0A3%0D%0A)%0D%0A⋅%0D%0A(%0D%0A3.2%0D%0A×%0D%0A10%0D%0A2%0D%0A)%0D%0A %0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A3×106%0D%0A3%0D%0A×%0D%0A10%0D%0A6%0D%0A3 times 10 to the 6th power%0D%0A%0D%0A4.45×105%0D%0A4.45%0D%0A×%0D%0A10%0D%0A5%0D%0A4 point 4 5 times 10 to the 5th power%0D%0A%0D%0A4×106%0D%0A4%0D%0A×%0D%0A10%0D%0A6%0D%0A4 times 10 to the 6th power%0D%0A%0D%0A4×105

Answer 1

u sure

Answer 2

To multiply the numbers in scientific notation \((1.25 \times 10^3) \cdot (3.2 \times 10^2)\), we can follow these steps:

1. **Multiply the decimal parts**:
\[
1.25 \times 3.2 = 4.0
\]

2. **Multiply the powers of ten**:
\[
10^3 \times 10^2 = 10^{3+2} = 10^5
\]

3. **Combine the results**:
\[
4.0 \times 10^5
\]

Since \(4.0\) is already in proper scientific notation, the final product in scientific notation is:
\[
\boxed{4.0 \times 10^5}
\]

You can also express it simply as \(4 \times 10^5\).

Answer 3

Yes, I am sure! Let's go through the multiplication step-by-step again to confirm the result.

Given:
\[
(1.25 \times 10^3) \cdot (3.2 \times 10^2)
\]

1. **Multiply the coefficients (the decimal parts)**:
\[
1.25 \times 3.2 = 4.0
\]

2. **Add the exponents of the powers of ten** (using the property \(10^a \times 10^b = 10^{a+b}\)):
\[
10^3 \times 10^2 = 10^{3+2} = 10^5
\]

3. **Combine the results**:
\[
4.0 \times 10^5
\]

So, the final answer in scientific notation can be written as:
\[
\boxed{4.0 \times 10^5}
\]

Alternatively, it can be expressed as \(4 \times 10^5\) (removing the decimal point, since it doesn't change the value in scientific notation).

If there is any specific part of the calculation you would like me to clarify or if you have any further questions, please let me know!