Grade 1
  1. Numbers and Counting  1.1. Counting to 10  1.2. Counting to 20  1.3. Counting to 50  1.4. Counting to 100  1.5. Writing Numbers 1 to 10  1.6. Writing Numbers 1 to 20  1.7. Writing Numbers 1 to 50  1.8. Writing Numbers 1 to 100  1.9. Reading Numbers 1 to 10  1.10. Reading Numbers 1 to 20  1.11. Reading Numbers 1 to 50  1.12. Reading Numbers 1 to 100  1.13. Comparing Numbers  1.14. Ordering Numbers  1.15. Odd and Even Numbers  1.16. Number Patterns  1.17. Skip Counting by 2s, 5s, and 10s  1.18. Understanding Zero
  2. Basic Addition and Subtraction  2.1. Understanding Addition  2.2. Addition Facts within 10  2.3. Addition Facts within 20  2.4. Adding Zero  2.5. Adding One More  2.6. Adding Two More  2.7. Adding Three More  2.8. Adding Using Pictures  2.9. Addition Word Problems  2.10. Understanding Subtraction  2.11. Subtraction Facts within 10  2.12. Subtraction Facts within 20  2.13. Subtracting Zero  2.14. Subtracting One  2.15. Subtracting Two  2.16. Subtraction Using Pictures  2.17. Subtraction Word Problems  2.18. Introduction to Doubles Facts  2.19. Introduction to Making 10
  3. Place Value and Number Sense  3.1. Understanding Tens and Ones  3.2. Counting by Tens  3.3. Place Value within 20  3.4. Place Value within 50  3.5. Place Value within 100  3.6. Reading and Writing Two-Digit Numbers  3.7. Comparing Two-Digit Numbers  3.8. Decomposing Numbers
  4. Measurement  4.1. Length  4.1.1. Comparing Lengths  4.1.2. Measuring with Non-Standard Units  4.1.3. Using Standard Units (Inches and Centimeters) in Length  4.2. Weight  4.2.1. Comparing Weights  4.2.2. Heavy and Light Objects  4.2.3. Introduction to Grams and Pounds  4.3. Capacity  4.3.1. Comparing Capacity  4.3.2. Full and Empty  4.3.3. Introduction to Liters and Milliliters  4.4. Time  4.4.1. Telling Time to the Hour  4.4.2. Telling Time to the Half Hour  4.4.3. Days of the Week  4.4.4. Months of the Year  4.4.5. Understanding Yesterday, Today, and Tomorrow  4.5. Money  4.5.1. Recognizing Coins  4.5.2. Counting Coins  4.5.3. Introduction to Dollar and Cents Symbols  4.5.4. Simple Addition and Subtraction with Money
  5. Geometry  5.1. 2D Shapes  5.1.1. Recognizing 2D Shapes  5.1.2. Drawing 2D Shapes  5.1.3. Naming 2D Shapes  5.1.4. Properties of 2D Shapes  5.1.5. Sorting 2D Shapes  5.1.6. Composing Simple Shapes  5.2. 3D Shapes  5.2.1. Recognizing 3D Shapes  5.2.2. Naming 3D Shapes  5.2.3. Properties of 3D Shapes  5.2.4. Sorting 3D Shapes  5.3. Position and Direction  5.3.1. Left and Right  5.3.2. Above and Below  5.3.3. Inside and Outside  5.3.4. Near and Far  5.3.5. In Front and Behind
  6. Patterns and Sorting  6.1. Recognizing Patterns  6.2. Extending Patterns  6.3. Creating Patterns  6.4. Sorting by Color  6.5. Sorting by Shape  6.6. Sorting by Size
  7. Data and Graphing  7.1. Introduction to Data  7.2. Collecting Data  7.3. Tally Marks  7.4. Bar Graphs  7.5. Picture Graphs  7.6. Interpreting Simple Graphs
  8. Fractions  8.1. Understanding Halves  8.2. Understanding Fourths  8.3. Dividing Shapes into Equal Parts  8.4. Identifying Equal and Unequal Parts

Grade 1 → Place Value and Number Sense ↓


Place Value within 100


Place value is a fundamental concept in math, especially in understanding numbers and their relationships. When children learn about place value within 100, they begin to understand how numbers are formed and how each digit in a number has a specific place and value. In this exploration, we'll dive into understanding place value within 100 by examining individual digits, using visual examples, and practicing with explanatory text examples.

Understanding place value

Place value refers to the value of a digit depending on its place in a number. In any number from 1 to 100, each digit has a specific value depending on its place. There are two major positions to consider when working with numbers within 100: the tens place and the ones place.

Tens place

The tens place is the second digit from the right. This digit shows how many groups of ten there are in the number. For example, in the number 47, the digit '4' is in the tens place. The '4' shows that there are four groups of ten, or 40.

Here's an example presented visually:

    Number: 47
    Tens: 4
    Ones: 7


    
    
    
    
    10
    10
    10
    10

Ones place

The ones place is the first digit from the right. This digit represents single units or numbers less than ten. Continuing our example, the number '7' in the ones place in the number 47 indicates that there are seven units.

This can be represented visually as follows:

Combination and decomposition of numbers

Composing and decomposing numbers involves breaking numbers into parts and putting them back together. This exercise strengthens the understanding of place value. For example, the number 47 can be decomposed and written as:

47 = 40 + 7

In our above example:

  • '4' in tens place represents 40
  • '7' in unit place represents 7

Understanding through examples

Example 1: Number 56

Let us analyse the number 56:

  • The digit '5' is in the tens place, which is equal to 50.
  • The digit '6' is in the units place, which is equal to 6.

Thus, 56 can be decomposed as follows:

56 = 50 + 6

Example 2: Number 89

Division of number 89:

  • The value of '8' in the tens place is 80.
  • '9' in unit's place = 9.

Therefore, 89 can be written as:

89 = 80 + 9

Visualization of numbers

Visual examples enhance understanding. Consider the number 23:


    
    
    Representing 20

    
    
    Representation of 3

In this example, the rectangles represent tens (2 tens = 20) while the circles represent ones (3 ones = 3).

Summary

Understanding place value in numbers up to 100 is essential for building a solid mathematical foundation. It helps perform arithmetic operations efficiently and develops number sense, allowing children to see patterns and relationships in numbers.

With practice, students begin to not only recognize numbers such as 47 or 89, but also understand that they are made up of tens and ones that can be decomposed and reorganized, leading to a better understanding of how numbers work.

To hone these skills, it is important to use both visual aids and practical examples. The concept of place value remains an important cornerstone as students advance in mathematics, forming the foundation for more advanced topics in future grades.


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Place Value within 50
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Place Value within 100

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