Question
Exponent rule for dividing like bases applied to scientific notation
Answers
GPT 3.5
The exponent rule for dividing like bases can be applied to scientific notation by dividing the coefficients and subtracting the exponents.
In scientific notation, a number is written as the product of a coefficient and a power of 10. For example, 6.02 x 10^23 is written in scientific notation.
When dividing two numbers written in scientific notation, we divide the coefficients and subtract the exponents of the powers of 10.
For example, let's divide (3.2 x 10^5) by (4 x 10^2):
First, divide the coefficients: 3.2 ÷ 4 = 0.8
Then, subtract the exponents: 10^5 - 10^2 = 10^(5-2) = 10^3
Therefore, (3.2 x 10^5) ÷ (4 x 10^2) = 0.8 x 10^3
In scientific notation, a number is written as the product of a coefficient and a power of 10. For example, 6.02 x 10^23 is written in scientific notation.
When dividing two numbers written in scientific notation, we divide the coefficients and subtract the exponents of the powers of 10.
For example, let's divide (3.2 x 10^5) by (4 x 10^2):
First, divide the coefficients: 3.2 ÷ 4 = 0.8
Then, subtract the exponents: 10^5 - 10^2 = 10^(5-2) = 10^3
Therefore, (3.2 x 10^5) ÷ (4 x 10^2) = 0.8 x 10^3