Scientific Notation

Front

What is scientific notation?

Back

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is typically in the form of 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

To convert a number from scientific notation to standard form, multiply the coefficient (a) by 10 raised to the power of n. For example, 3.2 x 10^3 = 3.2 * 1000 = 3200.

Front

What is the product of two powers with the same base?

Back

When multiplying two powers with the same base, you add the exponents. For example, a^m * a^n = a^(m+n).

Front

Simplify the expression: 2m^4 * 5m^2.

Back

10m^6.

Front

What is the standard form of 2.08 x 10^2?

Back

208.

Front

How do you simplify the expression t^9 * t^8?

Back

Add the exponents: t^9 * t^8 = t^(9+8) = t^17.

Front

What is the value of 5^-2?

Back

1/25.

Front

How do you convert a negative exponent to a positive exponent?

Back

To convert a negative exponent to a positive exponent, take the reciprocal of the base. For example, a^-n = 1/a^n.

Front

What is the significance of the exponent in scientific notation?

Back

The exponent indicates how many places to move the decimal point. A positive exponent means to move the decimal to the right, while a negative exponent means to move it to the left.

Front

What is the standard form of 3.5 x 10^-4?

Back

0.00035.