How do you write 3.7 × 10–3 in standard form?

Answer 1

To write \( 3.7 \times 10^{-3} \) in standard form, you need to convert it to a decimal number.

The expression \( 10^{-3} \) means you move the decimal point 3 places to the left. Starting with 3.7:

1. Move the decimal point 3 places to the left:
   • Moving it once gives you 0.37.
   • Moving it a second time gives you 0.037.
   • Moving it a third time gives you 0.0037.

Thus, \( 3.7 \times 10^{-3} \) in standard form is \( 0.0037 \).