Problem Set 7 – Adding Five-Digit NumbersClass 5 Maths · Chapter 3 Addition and Subtraction · Problem Set 7 – Maharashtra Board

Textbook: Mathematics – Class 5 (Balbharati, official free PDF) · pages 10

Revise column addition with carrying. Line up the places, add from the units, and carry when a column makes 10 or more.

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Summary: Problem Set 7 – Adding Five-Digit Numbers

To add big numbers, write them one below the other so that units are under units, tens under tens, and so on.

Always start adding from the units column on the right and move left.

If a column adds up to 10 or more, write the units digit of that sum and carry the tens digit to the next column on the left.

Add the carried number along with the digits of the next column.

Check your answer: change the order of the numbers and add again — the sum must be the same.

Key points to remember

  • Line up the places (U under U, T under T…)
  • Start from the units column
  • Column sum 10 or more → carry 1 (or 2)
  • Write only the units digit of a column sum
  • Add the carry in the next column
  • Order does not change the sum
  • The sum of two five-digit numbers can have six digits
  • 'In all', 'altogether', 'total' → add
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Addition and Subtraction Problem Set 7 – question answers

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Explain Addition and Subtraction Problem Set 7 in simple words

Let's go through "Addition and Subtraction Problem Set 7" from Chapter 3 step by step.

Understanding Addition and Subtraction

  1. Addition: This is when we combine two or more numbers to find the total. For example, if you have 3 apples and get 2 more, you have 3 + 2 = 5 apples.
  1. Subtraction: This is when we take one number away from another. For example, if you have 5 apples and eat 2, you have 5 - 2 = 3 apples left.

Key Concepts in Problem Set 7

  • Adding Large Numbers: You can add six-digit and seven-digit numbers using the same method as smaller numbers. You write the numbers one under the other, aligning them by place value (units, tens, hundreds, etc.), and then add each column starting from the right.
  • Carrying Over: Sometimes, when the sum of a column is 10 or more, you carry over the extra to the next column on the left. For example, if you add 7 + 5, you get 12. You write down 2 and carry over 1 to the next column.

Examples from the Chapter

  1. Example of Adding Two Large Numbers:
  • 1,43,057 + 4,21,689: Align the numbers and add them column by column.
  1. Example of Adding Three Numbers:
  • 3,12,469 + 758 + 24,092: Again, align and add each column. If you need to carry over, do it as you go.
  1. Example of Adding Different Sizes:
  • 64 + 409 + 5,13,728: You can add numbers of different sizes together in the same way.

Practice Questions

In your problem set, you will find questions where you need to add or subtract large numbers. Just remember to:

  • Align the numbers by place value.
  • Start adding from the rightmost column.
  • Carry over if needed.

Important Questions for Exams

  1. What is the sum of 2,34,567 and 3,45,678?
  • Answer: Add the two numbers together.
  1. If you subtract 1,23,456 from 5,67,890, what do you get?
  • Answer: Align the numbers and subtract.

Conclusion

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