Problem Set 2 – Revision of Numbers up to Five DigitsClass 5 Maths · Chapter 2 Number Work · Problem Set 2 – Maharashtra Board

Summary: Problem Set 2 – Revision of Numbers up to Five Digits

Our decimal system writes every number with just ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

The same number can be shown in international numerals (45,217), in Devanagari numerals (४५,२१७) or in words (forty-five thousand, two hundred and seventeen).

Five-digit numbers have the places ten thousands, thousands, hundreds, tens and units. A comma after the thousands digit makes them easy to read.

To count money, find the value of each kind of note separately and then add: 12 notes of ₹1000 = ₹12,000.

For the biggest number, put the digits from biggest to smallest. For the smallest, put them from smallest to biggest, but never start with 0.

Key points to remember

• Ten digits: 0 to 9
• Devanagari digits: ० १ २ ३ ४ ५ ६ ७ ८ ९
• Places: ten thousands, thousands, hundreds, tens, units
• Smallest five-digit number = 10,000
• Biggest five-digit number = 99,999
• A five-digit number cannot start with 0
• Biggest number: digits in falling order
• To compare, check the ten thousands digit first

Problem Set 2 – Revision of Numbers up to Five Digits – Notes

1. Ten digits make every number

• With only ten digits we can write any number at all — that is the magic of place value.
• A two-digit number has tens and units, a three-digit number adds hundreds, and so on.
• The digit 0 holds an empty place: in 40,506 there are no thousands and no tens.

2. Three ways to show a number

• International numerals: 38,604.
• Devanagari numerals: ३८,६०४ — the digits look different but the places are the same.
• In words: thirty-eight thousand, six hundred and four.
• When you write words, say the thousands part first and then the rest.

3. Counting notes and coins

• Multiply the number of notes by the value of one note.
• 12 notes of ₹1000 = ₹12,000; 7 notes of ₹100 = ₹700; 16 notes of ₹10 = ₹160.
• Add all the parts: 12,000 + 700 + 160 = ₹12,860.

4. Biggest and smallest number from given digits

• Biggest: put the largest digit in the highest place, then the next largest, and so on.
• Smallest: put the smallest digit first — but if it is 0, put the next smallest digit first and 0 right after it.
• Use each digit only once when the question says so.

5. Comparing five-digit numbers

• Look at the ten thousands digit first. The bigger one gives the bigger number.
• If those digits are equal, look at the thousands, then the hundreds, and so on.
• Example: 58,403 and 54,830 both have 5 ten thousands; 8 thousands is more than 4 thousands, so 58,403 is bigger.

Formulas at a glance

Key terms

Problem Set 2 – Revision of Numbers up to Five Digits – Flashcards

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

Problem Set 2 – Revision of Numbers up to Five Digits – MCQ Quiz

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

How to study Problem Set 2 – Revision of Numbers up to Five Digits

⏱ About 20 minutes

1. Revise (5 min)
   Say the five places aloud and write 0 to 9 in Devanagari numerals.
2. Write (10 min)
   Write five numbers in figures, in words and in Devanagari. Try a money sum and a biggest/smallest number.
3. Practise (5 min)
   Do the 4 'Try it yourself' sums, take the quiz and play 🎮 Play.