Question

1. write $7.4 \times 10^{-9}$ in standard form.

Explanation:

Step1: Recall scientific notation to standard form

For a number in scientific notation \( a \times 10^n \), if \( n \) is negative, we move the decimal point \( |n| \) places to the left. Here, \( a = 7.4 \) and \( n=- 9 \), so we move the decimal point 9 places to the left.

Step2: Move the decimal point

Starting with 7.4, moving the decimal point 9 places to the left: we get 0.0000000074 (we add 8 zeros between the decimal and 7 since moving 1 place left from 7.4 gives 0.74, 2 places gives 0.074, ..., 9 places gives 0.0000000074).

Answer:

\( 0.0000000074 \)