Problem Set 10 – Subtracting Five-Digit NumbersClass 5 Maths · Chapter 3 Addition and Subtraction · Problem Set 10 – Maharashtra Board

Summary: Problem Set 10 – Subtracting Five-Digit Numbers

To subtract, write the bigger number on top and the smaller number below it, with the places lined up.

Start from the units column and move left.

If the top digit is smaller than the bottom digit, borrow 1 from the next place on the left. That 1 is worth 10 in the place you are working on.

After borrowing, the digit you borrowed from becomes 1 less.

Check: difference + smaller number = bigger number. If it does not, find the mistake.

Key points to remember

• Bigger number on top
• Line up the places
• Start from the units
• Top digit too small → borrow 1 from the left
• Borrowed 1 = 10 in this place
• The lender digit goes down by 1
• Borrowing from 0: go further left
• Check: answer + smaller = bigger

Problem Set 10 – Subtracting Five-Digit Numbers – Notes

1. Setting up

• The number we subtract FROM goes on top; the number we take away goes below.
• Line up the digits from the right.
• 'How many more', 'how many less', 'difference' and 'left' are clue words for subtraction.

2. Borrowing

• If 5 − 8 is not possible in the units, take 1 ten from the tens place. Now the units are 5 + 10 = 15 and 15 − 8 = 7.
• The tens digit you borrowed from becomes one less.
• Do the same in every column where the top digit is too small.

3. Borrowing across zeros

• In 50,000 − 27,368 the units, tens, hundreds and thousands are all 0.
• Borrow from the 5 ten thousands: it becomes 4, and the zeros become 9, 9, 9 and 10.
• Now subtract: 10 − 8 = 2, 9 − 6 = 3, 9 − 3 = 6, 9 − 7 = 2, 4 − 2 = 2 → 22,632.

4. Checking by addition

• Add the answer to the number you took away: 24,667 + 37,648 = 62,315.
• If you get back the top number, your subtraction is right.

5. Word problems

• 'How many more students came this year?' → bigger number − smaller number.
• Write the answer as a sentence with the unit.
• The answer of a subtraction is called the difference.

Formulas at a glance

Key terms

Problem Set 10 – Subtracting Five-Digit Numbers – Flashcards

Read the question, answer it in your head, then tap the card to check. 10 cards.

Problem Set 10 – Subtracting Five-Digit Numbers – MCQ Quiz

10 questions. Tap an option — you will see at once if it is right and why.

How to study Problem Set 10 – Subtracting Five-Digit Numbers

⏱ About 20 minutes

1. Revise (5 min)
   Say the borrowing rule: borrow 1 from the left, it is worth 10 here.
2. Subtract (10 min)
   Do four five-digit subtractions and check each one by adding.
3. Practise (5 min)
   Do the 4 'Try it yourself' sums, take the quiz and play 🎮 Play.