Question

The diameter of carbon atom is 0.000000000 154m. What is the number expressed in scientific notation

Answer 1

1.54×10 −10

one and fifty four-hundreths times ten to the power of negitiive 10

Answer 2

1.54 × 10⁻¹⁰ m

Explanation:

A number in scientific notation has the form A × 10ⁿ.

A is a number from 1 to 10, but not 10 itself and is called the coefficient.

n is an integer and is called the exponent.

To convert a small decimal number to exponential notation, you move the decimal point to the right until you have one nonzero digit in front of the decimal point.

The exponent is negative of the number of places you moved the decimal point.

To convert 0.000 000 000 154 m to scientific notation:

• Move the decimal point to the right until it is just past the 1. The coefficient is 1.54
• Count the number of places you have moved the decimal (ten). The exponent is -10.

The number in scientific notation is 1.50 × 10⁻¹⁰.

Add the units and the measurement is 1.50 × 10⁻¹⁰ m.