Scientific Notation

Front

What is scientific notation?

Back

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

What is the standard form of 1.5 x 10^3?

Back

1,500

Front

What is the standard form of 2.3 x 10^-2?

Back

0.023

Front

Which is larger: 5 x 10^4 or 4 x 10^5?

Back

4 x 10^5 is larger.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents. For example, (2 x 10^3) * (3 x 10^2) = 6 x 10^(3+2) = 6 x 10^5.

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents. For example, (6 x 10^5) / (2 x 10^2) = 3 x 10^(5-2) = 3 x 10^3.

Front

What is the scientific notation for 0.00045?

Back

4.5 x 10^-4

Front

What is the scientific notation for 1500000?

Back

1.5 x 10^6

Front

How do you add numbers in scientific notation?

Back

Convert to the same exponent, then add the coefficients. For example, (2 x 10^3) + (3 x 10^3) = (2 + 3) x 10^3 = 5 x 10^3.