Scientific Notation and Operations

Front

What is scientific notation?

Back

A way of expressing numbers that are too large or too small to be conveniently written in decimal form, using powers of ten.

Front

How do you convert a number to scientific notation?

Back

Move the decimal point in the number until only one non-zero digit remains to the left of the decimal point, then multiply by 10 raised to the number of places the decimal was moved.

Front

Write 0.00000707 in scientific notation.

Back

7.07 x 10^-6

Front

How would you write 564,000,000 in scientific notation?

Back

5.64 x 10^8

Front

Convert to standard notation: 2.4 x 10^-3.

Back

0.0024

Front

What is the result of dividing (6.9 x 10^7) by (2.3 x 10^-3)?

Back

3 x 10^10

Front

What is the result of multiplying (3.4 x 10^5) by (1.2 x 10^-3)?

Back

4.08 x 10^2

Front

What is the general rule for multiplying numbers in scientific notation?

Back

Multiply the coefficients and add the exponents.

Front

What is the general rule for dividing numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents.

Front

How do you express a very small number in scientific notation?

Back

Use a negative exponent to indicate the decimal point has moved to the right.