Ordering Numbers Study Guide

Ordering numbers is the process of arranging numbers in a sequence based on their numerical value. This sequence can be either ascending (from smallest to largest) or descending (from largest to smallest).

Types of Numbers:

1. Whole Numbers: These are the set of numbers {0, 1, 2, 3, ...}.
2. Integers: These include all whole numbers and their negative counterparts, along with zero.
3. Decimals: Numbers that include a decimal point and can be either positive or negative.
4. Fractions: Numbers that represent a part of a whole, expressed as one integer divided by another.

Ordering Numbers:

To order numbers, follow these steps:

1. Compare Whole Numbers: Start by comparing the digits in the ones place. Then move on to the tens place, hundreds place, and so on if necessary.
2. Compare Decimals: Begin by comparing the digits to the left of the decimal point. If those are equal, move on to the right of the decimal point.
3. Compare Fractions: Find a common denominator and then compare the numerators.

Examples:

Order the following numbers in ascending order: 3.5, 2, 4/5, -1, 3.75.

Solution: -1, 2, 3.5, 3.75, 4/5

Order the following numbers in descending order: 0.25, 1/2, 0.4, 3/5, 0.3.

Solution: 1/2, 3/5, 0.4, 0.3, 0.25

Practice ordering different types of numbers to become proficient in this skill.