Question

Subtract Numbers in Scientific Notation Quick Check
Math 8 A, TN, 6.24 / Scientific Notation

Answer 1

To subtract numbers in scientific notation, you'll want to follow these steps:

1. **Ensure both numbers have the same exponent**: If they don't, you need to adjust one of the numbers so that both have the same exponent.

2. **Subtract the coefficients**: Once the exponents are the same, subtract the coefficients.

3. **Recombine your results**: Write it back in scientific notation if necessary.

### Example Problem

Let's say you have two numbers in scientific notation:
- \( 4.5 \times 10^3 \)
- \( 2.1 \times 10^3 \)

**Step 1**: Both numbers already have the same exponent (10^3).

**Step 2**: Subtract the coefficients:
\[
(4.5 - 2.1) = 2.4
\]

**Step 3**: Write the result in scientific notation:
\[
2.4 \times 10^3
\]

### Try a Different Example

**Example**: Subtract \( 5.6 \times 10^4 \) and \( 3.2 \times 10^3 \).

**Step 1**: Make the exponents the same. Convert \( 3.2 \times 10^3 \) to \( 0.32 \times 10^4 \):
\[
5.6 \times 10^4 - 0.32 \times 10^4
\]

**Step 2**: Subtract the coefficients:
\[
(5.6 - 0.32) = 5.28
\]

**Step 3**: Write the result in scientific notation:
\[
5.28 \times 10^4
\]

If you have specific numbers you'd like to subtract, please provide them, and I'll be happy to assist!