Multiplying and Dividing Scientific Notation

Front

What is scientific notation?

Back

A way of expressing numbers as a product of a coefficient and a power of 10, e.g., a x 10^n.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents: (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: (a x 10^m) / (b x 10^n) = (a/b) x 10^(m-n).

Front

What is the coefficient in scientific notation?

Back

The number in front of the power of 10, which must be greater than or equal to 1 and less than 10.

Front

Convert 0.00056 to scientific notation.

Back

5.6 x 10^-4.

Front

Multiply: (4 x 10^3)(2 x 10^2).

Back

8 x 10^5.

Front

Divide: (8 x 10^5) / (4 x 10^2).

Back

2 x 10^3.

Front

What is the standard form of 3.2 x 10^5?

Back

320,000.

Front

How do you convert a negative exponent to standard form?

Back

Move the decimal point to the left by the number of places indicated by the exponent.

Front

Multiply: (7 x 10^4)(3 x 10^3).

Back

21 x 10^7 or 2.1 x 10^8.