A number line is a visual representation of numbers in order, typically starting from 0 and extending infinitely in both the positive and negative directions. It's a useful tool for understanding the relationship between numbers and their positions relative to each other.

**Positive numbers:**Numbers greater than 0 are represented to the right of 0 on the number line.**Negative numbers:**Numbers less than 0 are represented to the left of 0 on the number line.**Integers:**Whole numbers, both positive and negative, as well as 0, are all represented on the number line.**Fractions and decimals:**These can also be represented on the number line. For example, 1/2 would be located halfway between 0 and 1 on the number line.**Ordering and comparing numbers:**The number line can be used to compare numbers and determine their relative positions.**Adding and subtracting:**The number line can be used to visualize addition and subtraction.

**Locating numbers:**Practice identifying the position of specific numbers on the number line.**Comparing numbers:**Given two numbers, determine which is greater or less by using the number line.**Adding and subtracting:**Use the number line to add and subtract numbers, and visualize the process.

Study GuideNumber Line Worksheet/Answer key

Number Line Worksheet/Answer key

Number Line Worksheet/Answer key

Number Line

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Develop understanding of fractions as parts of unit wholes, as parts of a collection, as locations on number lines, and as divisions of whole numbers.

Explore numbers less than 0 by extending the number line and through familiar applications.

Compute fluently and make reasonable estimates.

Use visual models, benchmarks, and equivalent forms to add and subtract commonly used fractions and decimals.

Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.

Connections to the Grade 4 Focal Points (NCTM)

Number and Operations: Building on their work in grade 3, students extend their understanding of place value and ways of representing numbers to 100,000 in various contexts. They use estimation in determining the relative sizes of amounts or distances. Students develop understandings of strategies for multi-digit division by using models that represent division as the inverse of multiplication, as partitioning, or as successive subtraction. By working with decimals, students extend their ability to recognize equivalent fractions. Students' earlier work in grade 3 with models of fractions and multiplication and division facts supports their understanding of techniques for generating equivalent fractions and simplifying fractions.