Multiplying and Dividing in Scientific Notation

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

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

Back

Move the decimal point in the number until only one non-zero digit remains to the left. Count the number of places moved; this becomes the exponent of 10.

Front

Convert 12,000,000 to scientific notation.

Back

1.2 x 10^7

Front

Convert 0.000398 to scientific notation.

Back

3.98 x 10^-4

Front

What is the product of (6 x 10^6) and (2 x 10^3)?

Back

1.2 x 10^10

Front

What is the quotient of (1.05 x 10^12) and (5 x 10^4)?

Back

2.1 x 10^7

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients 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 exponents of the powers of ten.

Front

What is the simplified version of 3.9 x 10^6 and 4 x 10^6?

Back

4 x 10^6

Front

What is the coefficient in the scientific notation 3.98 x 10^-4?

Back

3.98