# Knowing our Numbers - Class 6 - Mathematics

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## Examples - Knowing our Numbers | NCERT | Mathematics | Class 6

Population of Sundarnagar was 2,35,471 in the year 1991. In the year 2001 it was found to be increased by 72,958 . What was the population of the city in 2001 ?

To find the population of Sundarnagar in the year 2001, you add the population increase from 1991 to 2001 to the population of Sundarnagar in 1991.

The population of Sundarnagar in 1991 was 235,471. It increased by 72,958 from 1991 to 2001.

So, the population in 2001 is:

$$ 235,471 + 72,958 = 308,429 $$

Therefore, the population of Sundarnagar in the year 2001 was 308,429.

In one state, the number of bicycles sold in the year 2002-2003 was 7,43,000. In the year 2003-2004, the number of bicycles sold was 8,00,100. In which year were more bicycles sold? and how many more?

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Sign up nowThe town newspaper is published every day. One copy has 12 pages. Everyday 11,980 copies are printed. How many total pages are printed everyday?

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Sign up nowThe number of sheets of paper available for making notebooks is 75,000. Each sheet makes 8 pages of a notebook. Each notebook contains 200 pages. How many notebooks can be made from the paper available?

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Sign up now## Exercise 1.1 - Knowing our Numbers | NCERT | Mathematics | Class 6

Fill in the blanks:

(a) 1 lakh = _______ ten thousand.

(b) 1 million = _______ hundred thousand.

(c) 1 crore = _______ ten lakh.

(d) 1 crore = _______ million.

(e) 1 million = _______ lakh.

(a) 1 lakh = **10** ten thousand.

(b) 1 million = **10** hundred thousand.

(c) 1 crore = **10** ten lakh.

(d) 1 crore = **10** million.

(e) 1 million = **10** lakh.

Place commas correctly and write the numerals:

(a) Seventy three lakh seventy five thousand three hundred seven.

(b) Nine crore five lakh forty-one.

(c) Seven crore fifty two lakh twenty one thousand three hundred two.

(d) Fifty eight million four hundred twenty three thousand two hundred two.

(e) Twenty three lakh thirty thousand ten

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Insert commas suitably and write the names according to the Indian System of Numeration :

(a) 87595762

(b) 8546283

(c) 99900046

(d) 98432701

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Insert commas suitably and write the names according to the International System of Numeration :

(a) 78921092

(b) 7452283

(c) 99985102

(d) 48049831

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## Exercise 1.2 - Knowing our Numbers | NCERT | Mathematics | Class 6

A book exhibition was held for four days in a school. The number of tickets sold at the counter on the first, second, third and final day was respectively 1094, 1812, 2050 and 2751. Find the total number of tickets sold on all the four days.

To find the total number of tickets sold over all four days, we simply need to add the number of tickets sold each day.

The total number of tickets sold is:

$$1094 + 1812 + 2050 + 2751 = 7707$$

Therefore, the total number of tickets sold during the four days of the book exhibition was 7707.

Shekhar is a famous cricket player. He has so far scored 6980 runs in test matches. He wishes to complete 10,000 runs. How many more runs does he need?

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In an election, the successful candidate registered 5,77,500 votes and his nearest rival secured 3,48,700 votes. By what margin did the successful candidate win the election?

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Kirti bookstore sold books worth ₹$2,85,891$ in the first week of June and books worth ₹$4,00,768$ in the second week of the month. How much was the sale for the two weeks together? In which week was the sale greater and by how much?

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Find the difference between the greatest and the least 5-digit number that can be written using the digits $6,2,7,4,3$ each only once.

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A machine, on an average, manufactures 2,825 screws a day. How many screws did it produce in the month of January 2006?

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A merchant had ₹ 78,592$ with her. She placed an order for purchasing 40 radio sets at ₹ 1200 each. How much money will remain with her after the purchase?

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A student multiplied 7236 by 65 instead of multiplying by 56 . By how much was his answer greater than the correct answer? (Hint: Do you need to do both the multiplications?)

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To stitch a shirt, $2 \mathrm{~m} 15 \mathrm{~cm}$ cloth is needed. Out of $40 \mathrm{~m}$ cloth, how many shirts can be stitched and how much cloth will remain?

(Hint: convert data in cm.)

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Medicine is packed in boxes, each weighing $4 \mathrm{~kg} 500 \mathrm{~g}$. How many such boxes can be loaded in a van which cannot carry beyond $800 \mathrm{~kg}$ ?

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The distance between the school and a student's house is $1 \mathrm{~km} 875 \mathrm{~m}$. Everyday she walks both ways. Find the total distance covered by her in six days.

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A vessel has 4 litres and $500 \mathrm{ml}$ of curd. In how many glasses, each of $25 \mathrm{ml}$ capacity, can it be filled?