Rational Numbers Math Example 1

Follow the full solution, then compare it with the other examples linked below.

Example 1

easy
Place the following numbers in order from least to greatest: 34\frac{3}{4}, 0.60.6, 710\frac{7}{10}.

Solution

  1. 1
    Convert all to decimals: 34=0.75\frac{3}{4} = 0.75, 0.6=0.60.6 = 0.6, 710=0.7\frac{7}{10} = 0.7.
  2. 2
    Order the decimals: 0.6<0.7<0.750.6 < 0.7 < 0.75.
  3. 3
    In original form: 0.6<710<340.6 < \frac{7}{10} < \frac{3}{4}.

Answer

0.6<710<340.6 < \frac{7}{10} < \frac{3}{4}
To compare rational numbers in different forms, convert them all to the same representation—usually decimals—then order them. Every rational number can be expressed as a terminating or repeating decimal.

About Rational Numbers

Numbers that can be expressed as a ratio of two integers (ab\frac{a}{b} where b≠0b \neq 0).

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More Rational Numbers Examples

Example 2 medium

Express [formula] as a fraction in simplest form.

Example 3 easy

Which is greater: [formula] or [formula]?

Example 4 medium

Order these numbers from least to greatest: [formula], [formula], [formula].

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