Question

Convert 0.00028 to scientific notation.

a) 2.8 × 10⁴
b) 2.8 × 10³
c) 2.8 × 10⁻4
d) 2.8 × 10⁻3

Answer 1

The Correct answer is 2.8 × 10⁻4. Please check the explanation below to help you remember the steps.

Step-by-step explanation:

To convert 0.00028 to scientific notation, we move the decimal point 4 places to the right. This gives us 2.8 × 10⁻⁴. So, the correct answer is: 2.8 × 10⁻4.

Answer 2

The number 0.00028 can be converted to scientific notation as 2.8 × 10⁻⁴, by moving the decimal point four places to the right, which results in a negative exponent.option c is correct answer.

Step-by-step explanation:

To convert the number 0.00028 to scientific notation, we need to express it as a product of a number between 1 and 10 and a power of 10. Here's how we can achieve that:

1. Identify the most significant digit: In 0.00028, the most significant digit is 2.
2. Place the decimal after this digit to form a number between 1 and 10: This gives us 2.8.
3. Count how many places we moved the decimal point to get from the original number to the new form: We moved it 4 places to the right.
4. Because we moved the decimal to the right, the exponent will be negative. So, 0.00028 becomes 2.8 × 10⁻⁴.

This is because 2.8 needs to be multiplied by 10 to the power of -4 to get back to the original number. Thus, the correct scientific notation for 0.00028 is 2.8 × 10⁻⁴, which corresponds to option c.