Certainly! Let's solve the expression step-by-step:
10. \(5.04 \times 10^{-2} + 12 \times 10^{-3} - 2.04 \times 10^{-2} - 852 \times 10^{-4}\)
### Step 1: Convert each term from scientific notation to decimal form
1. \(5.04 \times 10^{-2}\)
[tex]\[
5.04 \times 10^{-2} = 0.0504
\][/tex]
2. \(12 \times 10^{-3}\)
[tex]\[
12 \times 10^{-3} = 0.012
\][/tex]
3. \(2.04 \times 10^{-2}\)
[tex]\[
2.04 \times 10^{-2} = 0.0204
\][/tex]
4. \(852 \times 10^{-4}\)
[tex]\[
852 \times 10^{-4} = 0.0852
\][/tex]
### Step 2: Substitute the converted values back into the expression
[tex]\[
0.0504 + 0.012 - 0.0204 - 0.0852
\][/tex]
### Step 3: Perform the addition and subtraction in sequence
1. Add \(0.0504\) and \(0.012\):
[tex]\[
0.0504 + 0.012 = 0.0624
\][/tex]
2. Subtract \(0.0204\) from \(0.0624\):
[tex]\[
0.0624 - 0.0204 = 0.042
\][/tex]
3. Finally, subtract \(0.0852\) from \(0.042\):
[tex]\[
0.042 - 0.0852 = -0.0432
\][/tex]
### Final Answer:
[tex]\[
5.04 \times 10^{-2} + 12 \times 10^{-3} - 2.04 \times 10^{-2} - 852 \times 10^{-4} = -0.0432
\][/tex]
So, the computed value of the given expression is [tex]\(-0.0432\)[/tex].
