What is the difference written in scientific notation? 0.00067 − 2.3 × 10⁻⁵

To find the difference, we first need to express both numbers in scientific notation with the same exponent. We have:

1. 0.00067 can be written as 6.7 × 10⁻⁴ (moving the decimal point four places to the right increases the exponent by 4).
2. 2.3 × 10⁻⁵ is already in scientific notation.

Now, we need to convert 2.3 × 10⁻⁵ to match the exponent of 6.7 × 10⁻⁴. We can do this by adjusting it to the same power of ten:

2.3 × 10⁻⁵ = 0.023 × 10⁻⁴ (moving the decimal point one place to the right decreases the exponent by 1).

Now we can subtract:

– 6.7 × 10⁻⁴ – 0.023 × 10⁻⁴ = (6.7 – 0.023) × 10⁻⁴

– This equals 6.677 × 10⁻⁴.

The answer in scientific notation is therefore ( 6.677 × 10^{-4} ).

If we want to round this to three significant figures, it becomes 6.68 × 10⁻⁴.

Keep practicing, and if you have any further questions or need clarification