Scientific Notation and Exponents

Front

What is scientific notation?

Back

A way to express very large or very small numbers using powers of ten. For example, 3000 can be written as 3 x 10^3.

Front

What does the exponent in scientific notation represent?

Back

The exponent indicates how many times the base (10) is multiplied by itself. For example, 10^3 means 10 x 10 x 10.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents. For example, (3.4 x 10^5)(1.2 x 10^-3) = (3.4 * 1.2) x 10^(5 + (-3)) = 4.08 x 10^2.

Front

What is the result of (2 x 10^4)(3 x 10^2)?

Back

6 x 10^6.

Front

How do you add numbers in scientific notation?

Back

Make sure the exponents are the same, then add the coefficients. For example, 2 x 10^3 + 3 x 10^3 = (2 + 3) x 10^3 = 5 x 10^3.

Front

What is the value of 1 x 10^2 grams in micrograms?

Back

1 x 10^2 grams = 1 x 10^2 x 10^6 micrograms = 1 x 10^8 micrograms.

Front

What is the simplified form of c^4 ⋅ c^3?

Back

c^(4+3) = c^7.

Front

If a microgram is 1 x 10^-6 grams, how many micrograms are in 1 gram?

Back

1 gram = 1 x 10^6 micrograms.

Front

What is the result of (5 x 10^3) / (2 x 10^2)?

Back

2.5 x 10^1.

Front

How do you convert 0.00045 to scientific notation?

Back

0.00045 = 4.5 x 10^-4.