NCERT Class 6 Solutions: Knowing Your Numbers (Chapter 1) Exercise 1.2 – Part 1

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Q-1 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 days was respectively 1094, 1812, 2050 and 2751. Find the total number of tickets sold on all the four days.

Understand the addition with carry with two examples

Adding two numbers 28 and 39 with carry in units position

Adding 28 Amd 39 With Carry in Units Position

Adding two numbers 28 and 39 with carry in units position

Solution:

  • 1stdaytickets=n1=1094

  • 2nddaytickets=n2=1812

  • 3rddaytickets=n3=2050

  • 4thdaytickets=n4=2751

  • Totalnumberofticketssoldonallfourdays=N

  • Totalticketsold=1094+1812+2050+2751=7707

Number of tickets sold at the counter on the 4 days respectively and find the total number of tickets sold on all the four days

Tickets Sold at the Counter on the 4 Day

Number of tickets sold at the counter on the 4 days respectively and find the total number of tickets sold on all the four days

Therefore, 7,707 tickets were sold on all the four days.

Q-2 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?

Revision of subtraction with borrow with 92-35.

First step in solving 92-35 with correct placement of digits

Solving 92-35 With Borrow

First step in solving 92-35 with correct placement of digits

We try to subtract units places

92-35 We can't subtract 5 from 2, since 5 is bigger than 2!

Subtracting Units Places

92-35 We can't subtract 5 from 2, since 5 is bigger than 2!

Since 5 cannot be subtracted from 2, we borrow 1 from tens place which is same has 10 once. So the 2 becomes 12.

Work for 92-35... We're going to split the 9 into an 8 and a 1... Since 9=8+1

9 in the 10s Place Becomes a 8

Work for 92-35... We're going to split the 9 into an 8 and a 1... Since 9=8+1

1 from the 10s place becomes a 10 in the units place

1 Is Borrowed From 10s Place to Units Place

1 from the 10s place becomes a 10 in the units place

In units palce 2 becomes a 12

10+2 Becoems a 12 in the Units Place

In units palce 2 becomes a 12

Subtracting the ones 12-5 gives 7

Subtracting the Onces (12-5)

Subtracting the ones 12-5 gives 7

Subtracting the tens 8-3 becomes a 5

Subtracting the 10s

Subtracting the tens 8-3 becomes a 5

Solution:

  • Shekharhassofarscored=S1=6,980runs

  • Hewishestocomplete=Total=10,000runs

    Shekhar wishes to complete 10,000 runs find how many more runs does he need

    Shekhar's Scores in Test Matches

    Shekhar wishes to complete 10,000 runs find how many more runs does he need

    Therefore, he needs 3,020 more runs.

Q-3 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?

Solution:

  • Number of votes secured by successful candidate = n1=5,77,500

  • Number of votes secured by his nearest rival = n2=3,48,700

  • Margin between them = N = n1n2

    Votes of elections. Successive candidate registered 5,77,500 votes and nearest rival secured 3,48,700 votes. Find the margin between them.

    Votes of Elections

    Votes of elections. Successive candidate registered 5,77,500 votes and nearest rival secured 3,48,700 votes. Find the margin between them.

    Therefore, the successful candidate won by a margin of 2,28,800 votes.

Q-4 Kirti Bookstore sold books worth Rs.2,85,891 in the first week of June and books worth Rs.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?

Solution:

  • Valueofbookssoldin1stweek=Rs.2,85,891

  • Valueofbookssoldin2ndweek=Rs.4,00,768

  • Totalsale=salein1stweek+salein2ndweek

  • Totalsale=2,85,891+4,00,768

    Two week sale value found by computing the total sale

    Two Week Sale

    Two week sale value found by computing the total sale

    Thesalefortwoweekstogetherwas6,86,659

    Since 4,00,768>2,85,891 , sale in 2nd week was greater than 1st week. Remember difference is always positive.

    Finding the difference between sales of 1st and 2nd week.

    Finding the Difference Between the Two Sales

    Finding the difference between sales of 1st and 2nd week.

    Thesalein2ndweekwaslargerthanthesalein1stweekbyRs.1,14,877

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