3.

Question

Write the number in standard notation.

4.16 x 10−5

0.0000416

–208

0.00000416

0.000416

Answer 1

To write the number 4.16 x 10^(-5) in standard notation, you need to move the decimal point 5 places to the left since the exponent is -5.

Starting with 4.16:

1. Move the decimal point 5 places to the left:
4.16 -> 0.416 (1 place),
0.416 -> 0.0416 (2 places),
0.0416 -> 0.00416 (3 places),
0.00416 -> 0.000416 (4 places),
0.000416 -> 0.0000416 (5 places).

So, 4.16 x 10^(-5) in standard notation is 0.0000416.

Therefore, the correct answer is:
0.0000416