Real Number System Review

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What is the Real Number System?

Back

The Real Number System includes all the numbers that can be found on the number line. This includes rational numbers (like integers and fractions) and irrational numbers (like square roots of non-perfect squares).

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What is a whole number?

Back

Whole numbers are non-negative numbers without fractions or decimals. They include 0, 1, 2, 3, and so on.

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 written as a product of a number (between 1 and 10) and 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 moved; this will be the positive exponent of 10.

Front

What does the exponent in scientific notation indicate?

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The exponent in scientific notation indicates how many places to move the decimal point. A positive exponent means the number is large, while a negative exponent means the number is small.

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Between 2 and 3.

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What is the range for the factor in scientific notation?

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The factor must be greater than or equal to 1 but less than 10.

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How do you determine the placement of a square root on a number line?

Back

To determine the placement of a square root on a number line, find the two whole numbers it falls between by squaring them.

Front

Convert 125,678,000 to scientific notation.

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1.25678 x 10^8.

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It represents a very small number.