Question

What is the value of the expression simplified in Standard Notation: (3.2×10−2)(4.2×106)/(5.2×105)
(1 point)
Responses

0.26
0.26

0.00026
0.00026

0.0026
0.0026

2.6

Answer 1

To simplify the expression \((3.2 \times 10^{-2})(4.2 \times 10^{6})/(5.2 \times 10^{5})\), we'll follow these steps:

1. Simplify the coefficients:
\[
\frac{3.2 \times 4.2}{5.2}
\]
Calculate \(3.2 \times 4.2 = 13.44\).

Now divide by \(5.2\):
\[
\frac{13.44}{5.2} = 2.5857 \approx 2.6 \quad \text{(for simplicity)}
\]

2. Simplify the powers of 10:
\[
10^{-2} \times 10^{6} \div 10^{5}
\]
This can be simplified as:
\[
10^{-2} \times 10^{6} = 10^{4}
\]
Now divide by \(10^{5}\):
\[
10^{4} \div 10^{5} = 10^{-1}
\]

3. Combine the results:
\[
2.6 \times 10^{-1}
\]
This is equal to:
\[
0.26
\]

So, the value of the expression simplified in Standard Notation is \(0.26\).

The answer is:
**0.26**