Scientific Notation

Front

What is scientific notation?

Back

A way to express very large or very small numbers using powers of ten.

Front

What is the general format of scientific notation?

Back

A number between 1 and 10 multiplied by a power of ten (e.g., a x 10^n).

Front

How do you convert a large number to scientific notation?

Back

Move the decimal point to the left until only one non-zero digit remains to the left of the decimal, then count the number of places moved to determine the exponent.

Front

How do you convert a small number to scientific notation?

Back

Move the decimal point to the right until only one non-zero digit remains to the left of the decimal, then the exponent will be negative.

Front

What is the scientific notation for 564,000,000?

Back

5.64 x 10^8.

Front

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

Back

2.035 x 10^4 is correct.

Front

What is the scientific notation for 0.000045?

Back

4.5 x 10^-5.

Front

How do you compare numbers in scientific notation?

Back

Compare the exponents first; the larger exponent indicates the larger number.

Front

What is the scientific notation for 8,000?

Back

8 x 10^3.

Front

What is the scientific notation for 0.0003?

Back

3 x 10^-4.