Scientific Notation with Operations

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 multiply numbers in scientific notation?

Back

Multiply the coefficients (the numbers in front) and add the exponents of the powers of ten.

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.

Front

What is the Quotient Rule for powers of ten?

Back

When dividing powers of ten, subtract the exponent of the denominator from the exponent of the numerator: 10^a / 10^b = 10^(a-b).

Front

How do you add numbers in scientific notation?

Back

Make sure the exponents are the same, then add the coefficients. If the exponents are different, adjust one of the numbers to have the same exponent.

Front

How do you subtract numbers in scientific notation?

Back

Make sure the exponents are the same, then subtract the coefficients. If the exponents are different, adjust one of the numbers to have the same exponent.

Front

What is the result of (5.2 x 10^7) + (3.01 x 10^4)?

Back

5.20301 x 10^7.

Front

What is the result of (4.01 x 10^8) - (7.32 x 10^6)?

Back

3.936 x 10^8.

Front

What is the result of (9.4 x 10^6)(3.2 x 10^5)?

Back

3.008 x 10^12.

Front

What is the result of 5.2 x 10^13 / 1.5 x 10^7?

Back

3.4 x 10^6.