What is the difference written in scientific notation? 0.00067 - 2.3 x 10^-5
Understand the Problem
The question is asking for the result of a subtraction operation expressed in scientific notation. Specifically, it requires the user to calculate the difference between the decimal number 0.00067 and the scientific notation, 2.3 × 10^(-5).
Answer
The difference is $6.47 \times 10^{-4}$.
Answer for screen readers
The difference is $6.47 \times 10^{-4}$.
Steps to Solve
- Convert Both Numbers to the Same Format
First, we convert the scientific notation $2.3 \times 10^{-5}$ into decimal form.
Calculate: $$ 2.3 \times 10^{-5} = 0.000023 $$
- Write the Two Numbers Together
Now, we have: $$ 0.00067 - 0.000023 $$
- Perform the Subtraction
Subtract the two decimal numbers:
$$ 0.00067 - 0.000023 = 0.000647 $$
- Convert the Result Back to Scientific Notation
Now convert $0.000647$ to scientific notation.
To do this, we move the decimal point 4 places to the right:
$$ 0.000647 = 6.47 \times 10^{-4} $$
The difference is $6.47 \times 10^{-4}$.
More Information
The answer represents the difference between the two numbers in scientific notation. Scientific notation is often used for very small or very large numbers to simplify calculations and improve readability.
Tips
- Misaligning Decimal Places: Ensure that the decimal point is correctly aligned when performing subtraction.
- Incorrect Scientific Notation Conversion: Double-check the conversion from decimal to scientific notation by ensuring the decimal is moved to the correct position.
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