Scientific Notation - Forms/ Rules/ Multiply/ Divide

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 convert a number from scientific notation to standard form?

Back

Multiply the coefficient (a) by 10 raised to the power of n. For example, 3.5 x 10^4 = 35000.

Front

What is the standard form of 7.8 x 10^-3?

Back

0.0078

Front

How do you write a small decimal number in scientific notation?

Back

Move the decimal point to the right until you have a number between 1 and 10, and count the number of places moved as a negative exponent. For example, 0.00000707 = 7.07 x 10^-6.

Front

What is the simplified version of 3.9 x 10^6?

Back

4 x 10^6.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents. For example, (2 x 10^9)(4 x 10^-4) = 8 x 10^(9-4) = 8 x 10^5.

Front

What is the result of (9.6 x 10^3) x (6.7 x 10^2)?

Back

6.432 x 10^6.

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 rule for adding or subtracting numbers in scientific notation?

Back

Convert to the same exponent before adding or subtracting the coefficients. For example, 2 x 10^3 + 3 x 10^3 = (2 + 3) x 10^3 = 5 x 10^3.

Front

What is the value of 4 x 10^20 in standard form?

Back

400000000000000000000.