Scientific Notation

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 multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents. For example, (3.4 x 10^5)(1.2 x 10^-3) = (3.4 * 1.2) x 10^(5 + (-3)) = 4.08 x 10^2.

Front

What is the value of any number raised to the power of 0?

Back

1.

Front

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

Back

Move the decimal point in the coefficient to the right for positive exponents and to the left for negative exponents. For example, 1.28 x 10^-4 = 0.000128.

Front

Which is smaller: 1.3 x 10^20 or 8.4 x 10^19?

Back

8.4 x 10^19 is smaller because its exponent is lower.

Front

How do you express 0.000457 in scientific notation?

Back

4.57 x 10^-4.

Front

What is the coefficient in scientific notation?

Back

The number in front of the power of ten, which must be between 1 and 10.

Front

What does the exponent in scientific notation indicate?

Back

The number of places the decimal point is moved. A positive exponent indicates a large number, while a negative exponent indicates a small number.

Front

Convert 5.67 x 10^3 to decimal form.

Back

5670.

Front

What is the scientific notation for 0.0056?

Back

5.6 x 10^-3.