Chapter 2 Number Work Problem Set 2 Solutions

Biggest five digit number is 75,430 Smallest five digit number is 30,457

(1) Washi has the greatest population. Population of Washi is 92,173
(2) Moregaon has the greater population.
(3) Gaganbawada has the smallest population. Its population is 35,777

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?
Vijay : 1000 notes of 100 rupees would make 1 lakh rupees.

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.

When writing numbers in figures, write the digit in the highest place first and then, in each of the next smaller places, write the proper digit from 1 to 9. Write 0, if there is no digit in that place. For example, if the number eight lakh, nine thousand and forty-three is written as ‘89043’, it is wrong. It should be written as 8,09,043. Here, we have to write zero in the ten thousands place.

(2) Four lakh, twenty thousand, five hundred : In this figure, there aren’t any thousands in the thousands place, so we write 0 in it. Since there are five hundreds, we write 5 in the hundreds place. There are no tens and units, hence, we write 0 in those places. In figures : 4,20,500.

Roman Numerals Problem Set 2 Additional Important Questions and Answers

Question 1 Maharashtra Board Solution Fill in the blanks in the table below: Solution & Step-by-Step Answer: Devnagari numerals International numerals The number written in words (1) ५,५१८ 5,518 Five thousand five hundred and eighteen (2) ४९,८०९ 49,809 Forty-nine thousand eight hundred and nine (3) ७,२५६ 7,256 Seven thousand two hundred and fifty-six Question 2 Maharashtra Board Solution Solve the following:

(1) In an election, the First candidate received 58,735 votes, the Second candidate received 65,500, the Third candidate received 85,450 and the Fourth candidate got 09,689 votes. Read the numbers of the votes and write the numbers in words.

First candidate – 58,735 – Fifty-eight thousand seven hundred and thirty-five
Second candidate – 65,500 – Sixty-five thousand five hundred
Third candidate – 85,450 – Eighty-five thousand four hundred and fifty
Fourth candidate – 09,689 – Nine thousand six hundred and eighty-nine

Question 3 Maharashtra Board Solution How many rupees do they make? *(1) 10 notes of 2,000 rupees, 5 notes of 100 rupees and 14 notes of 10 rupees. Solution & Step-by-Step Answer: 10 notes of 2,000 rupees = 10 x 2,000 ₹ 20,000 5 notes of 100 rupees = 5 x 100 = ₹ 500 14 notes of 10 rupees = 14 x 10 = ₹ 140 Total = ₹ 20,640 ∴ They make, twenty thousand, six hundred and forty. *(2) 7 notes of 2,000 rupees, 12 notes of loo rupees, 8 notes of 10 rupees and 5 coins of 1 rupee Solution: 7 notes of 2,000 rupees = 7 x 2,000 = ₹ 14,000 12 notes of 100 rupees = 12 x 100 = ₹ 1,200 8 notes of 10 rupees = 8 x 10 = ₹ 80 5 coins of 1 rupee = 5 x 1 = ₹ 5 Total = ₹ 15,285 ∴ They make, fifteen thousand, two hundred and eighty five. (3) 4 notes of 2,000 rupees, 6 notes of 100 rupees and 12 notes of 10 rupees Solution: 4 notes of 2,000 rupees = 4 x 2,000 = ₹ 8,000 6 notes of 100 rupees = 6 x 100 = ₹ 600 12 notes of 10 rupees = 12 x 10 = ₹ 120 Total = ₹ 8,720 ∴ They make, eight thousand, seven hundred and twenty. (4) 5 notes of 2,000 rupees, 9 notes of 500 rupees, 8 notes of 100 rupees, 7 notes of 50 rupees, 6 notes of 20 rupees and 5 note of 10 rupees Solution: 5 notes of 2,000 rupees 5 x 2,000 = ₹ 10,000 9 notes of 500 rupees = 9 x 500 = ₹ 4,500 8 notes of 100 rupees = 8 x 100 = ₹ 800 7 notes of 50 rupees = 7 x 50 = ₹ 350 6 notes of 20 rupees = 6 x 20 = ₹ 120 5 notes of 10 rupees = 5 x 10 = ₹ 50 Total = ₹ 15,820 ∴ They make, fifteen thousand, eight hundred and twenty. *Question 4. Write the biggest and the smallest numbers using all the given digits in every number. Use each digit only once. (1) 4, 8, 0, 2, 6, 5; (2) 2, 6, 7, 1, 4; (3) 5, 9, 6, 1, 4, 3; (4) 9, 4, 1, 3, 6; (5) 5, 3, 0, 0, 2 Answer: (1) Biggest six digit number is 8,65,420 Smallest six digit number is 2,04,568 (2) Biggest five digit number is 76,421 Smallest five digit number is 12,467 (3) Biggest six digit number is 9,65,431 Smallest six digit number is 1,34,569 (4) Biggest five digit number is 96,431 Smallest five digit number is 13,469 (5) Biggest five digit number is 53,200 Smallest five digit number is 20,035 Previous Chapter Chapter 1 Roman Numerals Problem Set 1 Next Chapter Chapter 2 Number Work Problem Set 3