Scientific Notation and Operations

Front

What is scientific notation?

Back

A way to express very large or very small numbers using powers of ten, in the form a x 10^n, where 1 ≤ a < 10 and n is an integer.

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 10.

Front

Convert 0.0005 to scientific notation.

Back

5 x 10^-4

Front

Multiply: (9.4 x 10^6)(3.2 x 10^5)

Back

3.008 x 10^12

Front

Convert 0.00000707 to scientific notation.

Back

7.07 x 10^-6

Front

Convert 2.4 x 10^-3 to standard notation.

Back

0.0024

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 exponent in scientific notation?

Back

The exponent indicates how many times to multiply the base (10) by itself.

Front

How do you add numbers in scientific notation?

Back

Make sure the exponents are the same, then add the coefficients. Adjust the result if necessary.

Front

How do you subtract numbers in scientific notation?

Back

Make sure the exponents are the same, then subtract the coefficients. Adjust the result if necessary.