Class 5 Math Part One Chapter 02 Number Work: MSBSHSE Study Material
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Number Work
You have learnt to read and write numbers in the decimal system using the ten digits from 0 to 9.
Revision
Problem Set 2
1. Using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 write ten each of two-, three-, four- and five-digit numbers. Read the numbers.
2. Fill in the blanks in the table below.
| Devanagari numerals | International numerals | Number written in words |
|---|---|---|
| (1) २,३५९ | 2,359 | Two thousand, three hundred and fifty-nine |
| (2) ३२,५६५ | -------------- | ----------------------------- |
| (3) ----------- | 67,859 | ----------------------------- |
| (4) २,०३४ | -------------- | ----------------------------- |
| (5) ----------- | -------------- | Twenty-seven thousand, eight hundred and ninety-five |
3. As a part of the 'Avoid Plastic Project', Zilla Parishad schools made and provided paper bags to provision stores and greengrocers. Read the talukawise numbers of the bags and write the numbers in words.
Kopargaon: 12,740
Shevgaon: 28,095
Karjat: 31,608
Sangamner: 10,972
4. How many rupees do they make?
(1) 20 notes of 1000 rupees, 5 notes of 100 rupees and 14 notes of 10 rupees.
(2) 15 notes of 1000 rupees, 12 notes of 100 rupees, 8 notes of 10 rupees and 5 coins of 1 rupee.
5. Write the biggest and the smallest five-digit numbers that can be made using the digits 4, 5, 0, 3, 7 only once.
6. The names of some places and their populations are given below. Use this information to answer the questions that follow.
Tala: 40,642
Gaganbawada: 35,777
Bodhwad: 91,256
Moregaon: 87,012
Bhamragad: 35,950
Velhe: 54,497
Ashti: 76,201
Washi: 92,173
Morwada: 85,890
(1) Which place has the greatest population? What is its population?
(2) Which place, Morwada or Moregaon, has the greater population?
(3) Which place has the smallest population? How much is it?
Teacher's Note
Numbers help us count and compare things in real life. For example, when your mother buys vegetables in the market, the shopkeeper tells her the weight in numbers like kilos.
Exam Trick
Remember: Always read numbers from left to right, starting from the largest place. This helps you write them correctly in words or figures.
Points to Remember
We use digits 0 to 9 to write all numbers.
Each place in a number has a different value.
We can write numbers in words or in figures.
Always count places carefully when writing big numbers.
Introducing Six-Digit Numbers
Teacher: How much, do you think, is the price of a four-wheeler?
Ajay: Maybe about six or seven lakh rupees.
Teacher: Do you know exactly how much one lakh is?
Ajay: It's a lot, isn't it? More than even ten thousand, right?
Teacher: Yes, indeed! Let's find out just how much. What is 999 + 1?
Ajay: One thousand.
Teacher: You have learnt to write 99000, too. Now, if you add 1000 to that, you will get one hundred thousand. That's what we call one lakh.
Vijay: 9999 + 1 is 10,000 (ten thousand). We had made the ten thousands place for it. Can we make a place for one lakh too in the same way?
Teacher: Yes, of course. Carry out the addition 99,999 + 1 and see what you get.
Here we keep carrying over till we have to make a place for the 'lakh' on the left of the ten thousands place. And we write the last carried over one in that place. The sum we get is read as 'one lakh'.
Vijay: Kishakaka bought a second-hand car for two and a half lakh rupees.
Ajay: How much is two and a half lakh?
Teacher: One lakh is 100 thousand. So, half a lakh is 50 thousand. Because, half of 100 is 50.
Vijay: That means two and a half lakh is 2 lakh 50 thousand.
Teacher: Now write this number in figures.
Vijay: 2,50,000.
Teacher: We have seen that a hundred thousand is 1 lakh. If we have 1000 notes of 100 rupees, how many rupees would they make? How many rupees would 100 notes of 1000 rupees make?
Vijay: 1000 notes of 100 rupees would make 1 lakh rupees and so would 100 notes of 1000 rupees!
Teacher's Note
One lakh rupees is a big amount of money. In India, we often use the word "lakh" to talk about large sums. For example, a car costs several lakhs of rupees.
Exam Trick
Remember: One lakh = 100,000. It has 5 zeros. Just count the zeros to remember how many places it has.
Points to Remember
One lakh is 100 thousand or 1,00,000.
One lakh is the first six-digit number.
Half of one lakh is 50 thousand.
Reading Six-Digit Numbers
(1) 2,35,705: Two lakh thirty-five thousand seven hundred and five
(2) 8,00,363: Eight lakh three hundred and sixty-three
(3) 3,07,899: Three lakh seven thousand eight hundred and ninety-nine
(4) 9,00,049: Nine lakh forty-nine
(5) 5,30,735: Five lakh thirty thousand seven hundred and thirty-five
Writing Six-Digit Numbers in Figures
(1) Eight lakh, nine thousand and forty-three: There are 8 lakhs in this number. There are no ten thousands, so we write 0 in that place. As there are 9 thousands, we write 9 in the thousands place. We write 0 in the hundreds place as there are no hundreds. Forty-three is equal to 4 tens and 3 units, so in the tens and units places we write 4 and 3 respectively. In figures: 8,09,043.
Teacher's Note
When we write six-digit numbers, we must put zeros in the empty places. For example, 8,09,043 has a zero in the ten thousands place because there are no ten thousands.
Exam Trick
Remember: If there is no digit in a place, always write 0. This keeps the number correct. Never skip a place.
Points to Remember
Six-digit numbers start with the lakh place.
Always write 0 in empty places.
Read six-digit numbers from left to right.
The six places are: lakhs, ten thousands, thousands, hundreds, tens, and units.
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