Question

What does the number 3.78 x 10⁻⁵ look like

A) 0.0000378
B) 37.8
C) 378,000
D) 0.0000000378

Answer 1

The number 3.78 x 10⁻⁵ written in standard decimal form is 0.0000378, which is found by moving the decimal point five places to the left.

The correct option is A.

Step-by-step explanation:

The number 3.78 x 10⁻⁵ in standard decimal form is 0.0000378. We find this by moving the decimal point in 3.78 five places to the left because the exponent on the 10 is -5.

So our steps would look like this: starting with 3.78, we would move the decimal to get 0.378, then 0.0378, then 0.00378, then 0.000378, and finally 0.0000378 which matches option A) 0.0000378.

This is a way to express very small numbers in scientific notation, which is a method of writing numbers that accommodates values that are too large or too small to be conveniently written in standard decimal form.

The correct option is A.