Question

275.9 × 10−4 in standard form

Answer 1

Answer: 2.759 x 10^-2

Step-by-step explanation: Standard forms are ways of writing down very large or very small numbers in easy and short forms. The index are positive and are gotten by the number of movements of the decimal point to the left. For example 10² = 100, so 2 × 10² = 200.

2.759 x 10⁴ = 27590

Small numbers (less than zero) can also be represented in standard forms but instead we have negative indexes corresponding to the number of decimal shifts to the right. For example 0.0023 would be 2.3 x 10^-4

The simple rule for when writing numbers in standard form is this: represent the given figure as a number between 1 and 10, then write × 10 (to the power of number of decimal shifts to the right or left)

The answer to the question above is 2.759 x 10^-2

This is because the original figure given would be 0.02759, and the required number of decimal shifts is two places to the right. Since its a figure less than zero, we add the negative sign to the index.

Answer 2

0.02759

Explanation:

The units digit of the mantissa goes in the number place with the place value given by the exponential multiplier. Here, that means the 5 goes in the ten-thousandths place.