Scientific Notation - Forms/ Rules/ Multiply/ Divide

Front

What is scientific notation?

Back

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

Front

What is the general form of scientific notation?

Back

a x 10^n, where 'a' is a number between 1 and 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. For example, (a x 10^m)(b x 10^n) = (a*b) x 10^(m+n).

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents. For example, (a x 10^m) ÷ (b x 10^n) = (a/b) x 10^(m-n).

Front

What is the simplified version of 3.9 x 10^6?

Back

4 x 10^6.

Front

Multiply: (9.4 x 10^6)(3.2 x 10^5). What is the result?

Back

3.008 x 10^12.

Front

Arrange the numbers from least to greatest: 216,000,000; 2.2 x 10^3; 3.1 x 10^7; 310,000.

Back

2.2 x 10^3; 310,000; 3.1 x 10^7; 216,000,000.

Front

What is the result of (9.6 x 10^-8) ÷ (2 x 10^-15)?

Back

4.8 x 10^7.

Front

Which of the following is correct scientific notation: 20.35 x 10^4, .2035 x 10^4, 2035^4, 2.035 x 10^4?

Back

2.035 x 10^4.

Front

What is the coefficient in the scientific notation 5.67 x 10^3?

Back

5.67.