Place value is the value of a digit based on its position within a number. The position of each digit in a number determines its value. The value of a digit is based on the place or position of the digit in a number.

Let's consider the number 345. In this number, 5 is in the ones place, 4 is in the tens place, and 3 is in the hundreds place. The place value of each digit in the number is determined by its position.

**Ones Place:**The rightmost digit in a number represents the ones place.**Tens Place:**The digit to the left of the ones place represents the tens place.**Hundreds Place:**The digit to the left of the tens place represents the hundreds place.**Thousands Place:**The digit to the left of the hundreds place represents the thousands place.- And so on...

Consider the number 7,682. The place value of each digit in this number is as follows:

Thousands | Hundreds | Tens | Ones |
---|---|---|---|

7 | 6 | 8 | 2 |

To understand place value, it's important to remember the following key points:

- Each digit in a number has a place value based on its position.
- The place value of a digit is determined by its position in the number.
- Place value helps us understand the relative value of each digit in a number.
- By understanding place value, we can compare and order numbers more effectively.

Practice identifying the place value of digits in various numbers. Work on exercises that require you to write numbers in expanded form based on their place value.

Understanding place value is crucial for working with larger numbers and performing operations such as addition, subtraction, multiplication, and division.

Mastering place value lays the foundation for a strong understanding of numbers and their properties.

Remember to always pay attention to the position of each digit in a number to determine its place value.

Now that you have a good understanding of place value, try out some practice problems to reinforce your knowledge!

Study GuideSimilarity and scale Worksheet/Answer key

Similarity and scale Worksheet/Answer key

Similarity and scale Worksheet/Answer key

Similarity and scale Worksheet/Answer keyUsing Similar Polygons Worksheet/Answer keySimilar Polygons Worksheet/Answer keyUsing Similar Polygons Worksheet/Answer keySimilar Polygons

Number and Operations (NCTM)

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

Understand and use ratios and proportions to represent quantitative relationships.

Compute fluently and make reasonable estimates.

Develop, analyze, and explain methods for solving problems involving proportions, such as scaling and finding equivalent ratios.

Geometry (NCTM)

Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.

Understand relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects.

Create and critique inductive and deductive arguments concerning geometric ideas and relationships, such as congruence, similarity, and the Pythagorean relationship.

Apply transformations and use symmetry to analyze mathematical situations.

Describe sizes, positions, and orientations of shapes under informal transformations such as flips, turns, slides, and scaling.

Measurement (NCTM)

Apply appropriate techniques, tools, and formulas to determine measurements.

Solve problems involving scale factors, using ratio and proportion.

Grade 8 Curriculum Focal Points (NCTM)

Geometry and Measurement: Analyzing two- and three-dimensional space and figures by using distance and angle

Students use fundamental facts about distance and angles to describe and analyze figures and situations in two- and three-dimensional space and to solve problems, including those with multiple steps. They prove that particular configurations of lines give rise to similar triangles because of the congruent angles created when a transversal cuts parallel lines. Students apply this reasoning about similar triangles to solve a variety of problems, including those that ask them to find heights and distances. They use facts about the angles that are created when a transversal cuts parallel lines to explain why the sum of the measures of the angles in a triangle is 180 degrees, and they apply this fact about triangles to find unknown measures of angles. Students explain why the Pythagorean Theorem is valid by using a variety of methods - for example, by decomposing a square in two different ways. They apply the Pythagorean Theorem to find distances between points in the Cartesian coordinate plane to measure lengths and analyze polygons and polyhedra.