Scientific Notation and Operations in Scientific Notation

Front

What is scientific notation?

Back

A way of expressing numbers as a product of a coefficient and a power of 10, e.g., a x 10^n.

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, then count the number of places moved to determine the exponent of 10.

Front

What is the standard form of -5.6 x 10^-3?

Back

-0.0056

Front

How do you add or subtract numbers in scientific notation?

Back

Make sure the exponents are the same, then add or subtract the coefficients.

Front

What is the product of (4 x 10^5) and (5 x 10^-3)?

Back

2 x 10^3

Front

What is the result of (8.0 x 10^13) - (7.5 x 10^12)?

Back

7.25 x 10^13

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents.

Front

What is the scientific notation for 520,000,000?

Back

5.2 x 10^8

Front

What is the result of (2.1 x 10^2) × (3.0 x 10^4)?

Back

6.3 x 10^6

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents.