4.2 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 (the number before the x) by 10 raised to the power of the exponent.

Front

What is the standard form of 3.2 x 10^5?

Back

320,000

Front

How do you write 0.00045 in scientific notation?

Back

4.5 x 10^-4

Front

What does a positive exponent in scientific notation indicate?

Back

A positive exponent indicates that the number is large and the decimal point is moved to the right.

Front

What does a negative exponent in scientific notation indicate?

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A negative exponent indicates that the number is small and the decimal point is moved to the left.

Front

Which is larger: 2.5 x 10^3 or 3.0 x 10^2?

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2.5 x 10^3 is larger because it equals 2500, while 3.0 x 10^2 equals 300.

Front

How do you compare two numbers in scientific notation?

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To compare two numbers in scientific notation, first compare the exponents. The number with the larger exponent is greater. If the exponents are the same, compare the coefficients.

Front

What is the value of 7.1 x 10^-2 in decimal form?

Back

0.071

Front

How do you multiply two numbers in scientific notation?

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To multiply two numbers in scientific notation, multiply the coefficients and add the exponents.