Ordering Numbers Math Example 1

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

Example 1

easy
Arrange from least to greatest: 12\frac{1}{2}, 0.30.3, 34\frac{3}{4}, 0.650.65.

Solution

  1. 1
    Convert all to decimals: 12=0.5\frac{1}{2} = 0.5, 0.3=0.30.3 = 0.3, 34=0.75\frac{3}{4} = 0.75, 0.65=0.650.65 = 0.65.
  2. 2
    Order the decimals: 0.3<0.5<0.65<0.750.3 < 0.5 < 0.65 < 0.75.
  3. 3
    In original form: 0.3<12<0.65<340.3 < \frac{1}{2} < 0.65 < \frac{3}{4}.

Answer

0.3<12<0.65<340.3 < \frac{1}{2} < 0.65 < \frac{3}{4}
To order a mixed set of fractions and decimals, convert everything to the same format (decimals are easiest) and compare. Then translate back to the original representations for the answer.

About Ordering Numbers

Ordering numbers is the process of arranging numbers in sequence from smallest to largest (ascending order) or largest to smallest (descending order). To order numbers, compare them using place value, common denominators, or convert to the same form (e.g. all decimals).

Learn more about Ordering Numbers →

More Ordering Numbers Examples

Example 2 medium

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

Example 3 medium

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

Example 4 easy

Write three integers in order such that each is exactly 5 less than the previous.

Example 5 medium

Insert a rational number between [formula] and [formula].

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