Scientific Notation and Standard Notation

Front

What is scientific notation?

Back

A method of expressing numbers as a product of a coefficient and a power of 10, typically in the form a x 10^n, where 1 ≤ a < 10 and n is an integer.

Front

How do you convert scientific notation to standard notation?

Back

Multiply the coefficient by 10 raised to the power indicated. For example, 3.2 x 10^4 = 32,000.

Front

What is standard notation?

Back

The usual way of writing numbers without exponents, using digits.

Front

How do you write 8.317 x 10^6 in standard form?

Back

8,317,000.

Front

Is the first part of scientific notation always a number between 1 and 100?

Back

False. The first part must be between 1 and 10.

Front

How do you express 8.025 x 10^-8 in standard notation?

Back

.00000008025.

Front

What is the scientific notation for 10,030,400,000?

Back

1.00304 x 10^10.

Front

How would you write 0.0005 in scientific notation?

Back

5 x 10^-4.

Front

What is the purpose of scientific notation?

Back

To simplify the representation of very large or very small numbers.

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.