scientific notation review

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 result of (2 x 10^9)(4 x 10^-4)?

Back

8 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 smallest number among 1.3 x 10^20, 2.9 x 10^21, 9.5 x 10^32, and 8.4 x 10^19?

Back

8.4 x 10^19.

Front

How do you add numbers in scientific notation with the same exponent?

Back

Add the coefficients and keep the exponent the same. For example, (a x 10^n) + (b x 10^n) = (a+b) x 10^n.

Front

What is the result of 7.3 x 10^5 + 3.7 x 10^5?

Back

1.1 x 10^6.

Front

What is the result of (5 x 10^6)(5 x 10^7)?

Back

2.5 x 10^14.

Front

What is the general form of a number in scientific notation?

Back

A number expressed as a x 10^n, where 1 ≤ a < 10 and n is an integer.

Front

How do you convert a number like 0.00045 into scientific notation?

Back

Move the decimal point to the right until you have a number between 1 and 10: 4.5 x 10^-4.