Question

Select two laws of exponents. Create an example expression
represented on your chosen laws. Simplify your own expression.​​

Answer 1

Scientific notation is a representation that uses a decimal number times a power of ten. The decimal value is usually written with one digit, not zero, in front of the decimal point, and when multiplied together with a power of 10, the scientific notation exactly equals the value it represents. This is referred to as the normalized form for scientific notation.

Before when we studied scientific notation (Session 13), we only worked with whole numbers. This meant that we allowed more than one non-zero digit and all of the powers of 10 were positive powers. Now we extend that notation to include any decimal fraction.

We write the mass of an electron (given above) in scientific notation. First, when changing to scientific notation, we move the decimal point until the first non-zero digit in the numeral is in front of the decimal point. Then the power of ten represents the number of place values the decimal point is moved.

Example:



So, in scientific notation, the mass of an electron in grams is approximately 9.109382 × 10–28.

Notice that 10–28 = 0.0000000000000000000000000001 and if we multiply that by 9.109382 the result is 0.0000000000000000000000000009109382