Scientific Notation

Front

What is scientific notation?

Back

A way to express very large or very small numbers using powers of ten. For example, 650 can be written as 6.5 x 10^2.

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. Count the number of places moved; this becomes the exponent of ten.

Front

What is the scientific notation for 0.0045?

Back

4.5 x 10^-3.

Front

What is the general form of scientific notation?

Back

A number in the form of a x 10^n, where 1 ≤ a < 10 and n is an integer.

Front

When multiplying numbers in scientific notation, what do you do with the exponents?

Back

Add the exponents of the powers of ten.

Front

What is the result of (2 x 10^3) * (3 x 10^4)?

Back

6 x 10^7.

Front

When dividing numbers in scientific notation, what do you do with the exponents?

Back

Subtract the exponent of the denominator from the exponent of the numerator.

Front

What is the result of (8 x 10^5) / (2 x 10^2)?

Back

4 x 10^3.

Front

How do you compare numbers in scientific notation?

Back

Compare the coefficients first; if they are equal, compare the exponents.

Front

Which is larger: 9 x 10^6 or 8 x 10^7?

Back

8 x 10^7 is larger.