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 ↓


Decomposing Numbers


Decomposing numbers in terms of place value and number sense is a cornerstone concept in Class 1 Maths. Understanding how to break down numbers into their individual components helps young learners develop a strong foundation in Maths. Let us discuss this topic in detail.

What is the decomposition of numbers?

Decomposing numbers means breaking numbers into smaller parts. This is usually done by separating the individual digits of a number according to their place values. This helps children understand the value of each digit in a number and their contribution to the overall number.

Understanding place value

Place value is the value where a digit is in a number. When we decompose numbers, we break them down according to these place values, such as tens and ones.

Tens and ones

To understand tens and ones better, let's look at examples of two-digit numbers.

Example: number 23

The number 23 is made up of two digits. Each digit has its own place value:

In 23, 2 represents the 2nd tenth place.
The 3 in 23 represents 3 ones.

We can write the number 23 as follows:

23 = 20 + 3

This means that 23 is equal to 20 (which is 2 tens) and 3 (3 ones).

Visualization of disintegration

The use of diagrams can significantly help in understanding number decomposition. Here are some visual examples you can use to see the process of decomposing the number 34 into tens and ones.

Example: number 34

Divide 34 into tens and ones.

= 3 tens = 1 one

This view shows the number 34 as 3 tens and 4 ones.

So, the number 34 can be divided into the following parts:

34 = 30 + 4

Reasons for the decomposition of numbers

There are several reasons why decomposing numbers is an essential skill:

  • This helps students understand the concept of place value.
  • This enables students to perform mental math more effectively.
  • This lays the groundwork for more advanced mathematical concepts, such as addition or regrouping with carry.

More examples of decomposition of numbers

Example: number 57

In the number 57, the digit 5 represents the 5 tens, and the digit 7 represents the 7 units. Therefore, we decompose the number 57 as follows:

57 = 50 + 7

Example: number 89

In the number 89, the digits 8, 8 represent tens, and the digits 9, 9 represent units. Therefore, we decompose the number 89 as follows:

89 = 80 + 9

Exercises for practice

Here are some exercises to practice decomposing numbers:

Exercise 1: Decompose 46

Break 46 into tens and ones.

The answer is:

46 = 40 + 6

Exercise 2: Decompose 73

Divide 73 into tens and ones.

The answer is:

73 = 70 + 3

Working with large numbers

As students get more confident in decomposing smaller numbers, they can try working with larger numbers. The principle remains the same - identify the place value of each digit and break the number into smaller parts.

Example: number 123

In the number 123, the digit 1 is in the hundreds place, the digit 2 is in the tens place, and the digit 3 is in the units place. We decompose the number 123 like this:

123 = 100 + 20 + 3

Encouraging reasoning and explanation

Encourage students to explain their reasoning when decomposing numbers. This will strengthen their understanding and help them clarify their thought process.

Practical applications

Decomposing numbers is not just an abstract exercise. It has real-life applications such as:

  • Counting money: Understanding the value of coins and notes.
  • Making changes: Knowing how many of each type of change to make.
  • Time management: dividing time into hours and minutes.

Conclusion

Decomposing numbers into smaller parts using place value is an important concept in building a solid mathematical foundation for students. It helps children understand the significance of each digit within a number and prepares them for more complex mathematical operations in the future.


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Decomposing Numbers

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