Add numbers with up to 4 digits together | Year 5 Mathematics PDF Download

Understanding Column Addition

• Definition of Column Addition: Column addition is a method where numbers are added together by aligning them in columns.
• Basic Steps of Column Addition:
  • Write the numbers one below the other, aligning them by place value.
  • Start adding from the rightmost column (ones column) and move towards the left.

Examples

Example: 1

• Begin with the ones column: 3 + 5 = 8.
  
• Move to the tens column: 40 + 10 = 50.
  
• Proceed to the hundreds column: 300 + 300 = 600.
  
• The final sum is 343 + 315 = 658.

Example: 2

If the sum of the two numbers in a place value column exceeds 9, you need to carry over a digit.

• Begin with the ones column: 3 + 9 = 12. Write down 2 in the ones place and carry over 10 to the tens column by placing 1 below.
  
• Move to the tens column: 40 + 20 + 10 = 70. Remember to include the additional ten you carried over.
  
• Proceed to the hundreds column: 300 + 300 = 600.
  
• The final sum is 343 + 329 = 672.

Example: 3

• What is 4214 + 3936? Start by adding the ones column. 4 + 6 = 10. Write down 0 in the ones place and carry over 10 to the tens column.
  
• Add all the digits in the tens column, remembering to include the 10 that was carried over.
  
• Proceed to the hundreds column. 200 + 900 = 1100. Place 1 in the hundreds column and carry over 1 to the thousands.
  
• Add all the thousands to find the answer: 4000 + 3000 + 1000 = 8000.
  
• Therefore, 4214 + 3936 = 8150.

Adding Numbers: Step-by-Step Guide

• Organize Numbers: When adding numbers, it's helpful to separate them into ones, tens, hundreds, and thousands columns. This makes it easier to keep track of the digits.
• Start with Ones: Always begin by adding the digits in the ones column. For example, when adding 4 and 6, the sum is 10. Place 0 in the ones column and carry over 1 to the tens column.
• Estimation: Before diving into the calculation, it's a good practice to estimate a rough answer. This can help catch errors and provide a sense of the expected result.
• Order of Numbers: The order of numbers doesn't affect the sum. For instance, 345 + 129 is the same as 129 + 345. The result remains unchanged.
• Key Words: Pay attention to words like total, sum, altogether, and more in problems. These words indicate that an addition operation is required.