Scientific Notation Using Addition, Subtraction, Multiplication, Division

Front

What is scientific notation?

Back

A way to express very large or very small numbers using powers of ten, in the form a x 10^n, where 1 ≤ a < 10 and n is an integer.

Front

How do you add numbers in scientific notation?

Back

Ensure the exponents are the same, then add the coefficients. Example: (5.5 x 10^5) + (2.5 x 10^5) = (5.5 + 2.5) x 10^5 = 8 x 10^5.

Front

How do you subtract numbers in scientific notation?

Back

Ensure the exponents are the same, then subtract the coefficients. Example: (2 x 10^3) - (1.9 x 10^2) = (2 x 10^3) - (0.19 x 10^3) = 1.81 x 10^3.

Front

What is the standard notation for 7 x 10^11?

Back

700,000,000,000.

Front

What is the correct scientific notation for the number 20350?

Back

2.035 x 10^4.

Front

What is the first step in multiplying numbers in scientific notation?

Back

Multiply the coefficients and add the exponents. Example: (3 x 10^2) * (2 x 10^3) = (3 * 2) x 10^(2+3) = 6 x 10^5.

Front

What is the first step in dividing numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents. Example: (6 x 10^5) ÷ (2 x 10^2) = (6 ÷ 2) x 10^(5-2) = 3 x 10^3.

Front

What is the significance of the coefficient in scientific notation?

Back

The coefficient must be between 1 and 10 to be in proper scientific notation.

Front

How do you convert a number from standard notation to scientific notation?

Back

Move the decimal point to create a coefficient between 1 and 10, and count the number of places moved to determine the exponent.

Front

What is the scientific notation for 0.00045?

Back

4.5 x 10^-4.