math scientific notation

math

What is scientific notation?

Scientific notation is a way of expressing numbers as a product of a coefficient and a power of ten, typically in the form $a \times 10^n$ where 1 ≤ a < 10 and n is an integer.

How do you add numbers in scientific notation?

To add numbers in scientific notation, ensure the exponents are the same, then add the coefficients and write the result in scientific notation. For example, $3.0 \times 10^5 + 2.0 \times 10^5 = (3.0 + 2.0) \times 10^5 = 5.0 \times 10^5$.

How do you subtract numbers in scientific notation?

To subtract numbers in scientific notation, make sure the exponents match, subtract the coefficients, and write the result in scientific notation. For instance, $4.5 \times 10^6 - 1.5 \times 10^6 = (4.5 - 1.5) \times 10^6 = 3.0 \times 10^6$.

How do you multiply numbers in scientific notation?

To multiply numbers in scientific notation, multiply the coefficients and add the exponents. For example, $2.0 \times 10^3 \times 3.0 \times 10^4 = (2.0 \times 3.0) \times 10^{3+4} = 6.0 \times 10^7$.

How do you divide numbers in scientific notation?

To divide numbers in scientific notation, divide the coefficients and subtract the exponents. For example, $6.0 \times 10^8 \text{ divided by } 2.0 \times 10^4 = \frac{6.0}{2.0} \times 10^{8-4} = 3.0 \times 10^4$.

How do you compare numbers in scientific notation?

To compare numbers in scientific notation, first compare the exponents. The number with the larger exponent is greater. If the exponents are the same, compare the coefficients. For example, $3.0 \times 10^5$ is greater than $2.5 \times 10^5$ because 3.0 > 2.5.