Laws of Exponents and 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 expressed as a number between 1 and 10 multiplied by a power of 10.

Front

How do you convert a large number to scientific notation?

Back

To convert a large number to scientific notation, move the decimal point to the left until only one non-zero digit remains to the left of the decimal. Count the number of places the decimal has moved; this will be the positive exponent of 10.

Front

How do you convert a small number to scientific notation?

Back

To convert a small number to scientific notation, move the decimal point to the right until only one non-zero digit remains to the left of the decimal. Count the number of places the decimal has moved; this will be the negative exponent of 10.

Front

What is the scientific notation for 6,300,000?

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The scientific notation for 6,300,000 is 6.3 × 10^6.

Front

What is the scientific notation for 0.009?

Back

The scientific notation for 0.009 is 9 × 10^-3.

Front

What is the general form of scientific notation?

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The general form of scientific notation is a × 10^n, where 1 ≤ a < 10 and n is an integer.

Front

What does the exponent in scientific notation represent?

Back

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

Front

How do you multiply numbers in scientific notation?

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To multiply numbers in scientific notation, multiply the coefficients and add the exponents of the powers of 10.

Front

How do you divide numbers in scientific notation?

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To divide numbers in scientific notation, divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.

Front

What is the product of (2 × 10^3) and (3 × 10^4)?

Back

The product is 6 × 10^7.