Scientific Notation

Front

What is scientific notation?

Back

A way of expressing numbers that are too large or too small to be conveniently written in decimal form, using powers of ten.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents. For example, (a x 10^m)(b x 10^n) = (a*b) x 10^(m+n).

Front

What is the scientific notation for 12,000,000?

Back

1.2 x 10^7.

Front

Which of the following is in correct scientific notation: 5.67 x 10^5, 56.7 x 10^3, 0.567 x 10^6?

Back

5.67 x 10^5.

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents. For example, (a x 10^m) ÷ (b x 10^n) = (a/b) x 10^(m-n).

Front

What is the result of (9.4 x 10^6)(3.2 x 10^5)?

Back

3.008 x 10^12.

Front

What is the result of (3.4 x 10^5)(1.2 x 10^-3)?

Back

4.08 x 10^2.

Front

Convert 0.00056 to scientific notation.

Back

5.6 x 10^-4.

Front

What is the result of (9.6 x 10^-8) ÷ (2 x 10^-15)?

Back

4.8 x 10^7.

Front

How do you convert a number from standard form to scientific notation?

Back

Move the decimal point to the right of the first non-zero digit and count the number of places moved. This gives you the exponent.