Important Questions for CBSE Class 6 Maths Chapter 1 - Knowing Our Numbers

Very Short Answer Questions  (1 Mark)

1. Write the numeration for $80956124$ in the Indian system.

Ans: The numeration for $80956124$ in the Indian system is, $8,09,56,124$.

Eight crore nine lakh fifty-six thousand one hundred twenty-four.

2. Write the notation for Seventy-two crore thirty-one lakh eighty-five thousand seventy-nine.

Ans: Notation: Expressing the numbers in figures. The notation for Seventy-two crore thirty-one lakh eighty-five thousand seventy-nine is, $72,31,85,079$ 

3. Write $348967954$ separating periods in the Indian system.

Ans: This $34,89,67,954$ can be written in separating periods in the Indian system as below.

4. Write the place value and face value of the underlined digit: $95\underline{8}465459$

Ans: The place value and face value of the underlined digit: $95\underline{8}465459$ is,

Place value of $8 \Rightarrow 8\times 1000000=8000000$Face value of $8$ $=8$

5. Write $459769843$ separating periods in the international system.

Ans: Separating periods in international system of $459,769,843$ is,

6. Write numerals for eight million, sixty-nine thousand, three hundred ninety-nine.

Ans: The numerals for eight million, sixty-nine thousand, three hundred ninety-nine is  $8,069,399$.

7. Express as numeral $CDLXV$.

Ans: From the roman numeral table,

$MCMLXXXIV=1000+900+50+30+4=1984$

$C=100$

$D=500$

$L=50$

$X=10$

$V=5$

$CD=500-100=400$

So $CDLXV$ can be calculated as,

$CDLXV=400+50+10+5=465$

8. Express as Roman numerals $MCMLXXXIV$

Ans: From the roman numeral table,

$M=1000$

$CM=1000-100=900$

$L=50$

$XXX=30$

$IV=4$

So $MCMLXXXIV$ can be calculated as,

$MCMLXXXIV=1000+900+50+30+4=1984$

9. Which of the Roman numerals is correct?

(a) $IC$ 

(b) $XC$ 

(c) $VL$ 

(d) $DM$

Ans: (b) $XC$

Short Answer Questions   (2 Marks)

1. Write the expanded form of $563408$.

Ans: This number has $8$ at one’s place, $0$ at tens place, $4$ at hundreds place, $3$ at thousands place, $6$ at ten thousand places and $5$ at a lakh place.

$5,63,408=5\times 100000+6\times 10000+3\times 1000+4\times 100+0\times 10+8\times 1$

$5,63,408=500000+60000+3000+400+0+8$

2. Find the difference of place values of two’s, $6$’s in $65810624$.

Ans: In $65810624$, place values of $6$ are $60000000$ and $600$ .

First value is $60000000$ and second value is $600$.

Difference $=60000000-600$

$=5,99,99,400$

3. Write the greatest and smallest $4$-digit number using $5,6,0,9$.

Ans: from the given $4$digits $5,6,0,9$

Greatest $4$-digit number is $9,650$.

Smallest $4$-digit number is $5,069$.

4. What comes after and before $10000000$?

Ans: Add one to $10,000,000$ then we can find the after count.

$1,00,00,001$ comes after $1,00,00,000$

Subtract one from $10,000,000$ then we can find the before count.

$99,99,999$ comes before $1,00,00,000$

5. Which is lesser: $85740264$ or $85610784$.

Ans: Here both numbers have the same number of digits. Further, the digits at the first two places are the same in both. Then consider moving to the next digit, that is to the digit at the lakhs place. The digit at the lakhs place is lesser in $85\underline{6}10784$ than in $85\underline{7}40264$. Therefore, $85610784$ is less than $85740264$.

Short Answer Questions  (3 Marks)

1. How many $6$ digit numbers are there in all?

Ans: Total number of six-digit numbers can be calculated by subtracting smallest six-digit number from the largest six-digit number and then by adding 1 to the obtained difference.

The largest $6$ digit number is $999999$

The smallest $6$ digit number is $100000$

$\therefore $Number of all $6$ digit numbers $=\left( 999999100000 \right)+1$

$=900000$

2. Round off  $14850$ to nearest $10$’s, $100$’s, $1000$’s place.

Ans: Round off  $14850$ to nearest $10$’s, $100$’s, $1000$’s place can be done like this,

To nearest 10’s place: $14850=14,850$ 

To nearest 100’s place : $14850=14,900$

To nearest 1000’s place : $14850=15,000$

3. Estimate the sum $\left( 304+243 \right)$ to the nearest hundred.

Ans: Here $304$ is greater than $243$. Round off to hundreds and then find the sum.

Estimation nearest $100$’s place:

$3\underline{0}4=400$

$2\underline{4}3=200$

Estimated Sum of $\left( 304+243 \right)$ to the nearest hundred.

$\Rightarrow 300+200=500$

4. Estimate the difference of $\left( 973-368 \right)$to the nearest hundreds  place.

Ans: Here $973$ is greater than $368$. Round off to hundreds and then find the difference.

Estimation nearest $100$’s place for $9\underline{7}3=1000$ 

Estimation nearest $100$’s place for $3\underline{6}8=400$

Estimated Difference of $\left( 973-368 \right)$ to the nearest hundreds place.

$\Rightarrow 1000-400=600$

5. Estimate product of $\left( 24\times 85 \right)$.

Ans: Here $85$ is greater than $24$. Round off them to $10$’s place then find the product.

Estimation of $24$: $10$’s place considered $=20$.

Estimation of $85$ : $10$’s place considered $=90$.

Estimated product of $\left( 24\times 85 \right)$ to the nearest $10$’s place

$\Rightarrow 20\times 90=1800$

6. Estimate quotient of  $\left( 725\times 25 \right)$

Ans: Here $725$ is greater than $25$. Round off $725$ to $100$’s and $25$ to $10$’s place then find the quotient.

Estimation considering $100$’s place for $725=700$ Estimation considering $10$’s place for $25=30$

$\begin{align} & 30\overset{23}{\overline{\left){700}\right.}} \\ & \text{ }\underline{-60} \\ & \text{ 100} \\ & \text{ }\underline{-90} \\ & \text{ 10} \\ \end{align}$

Quotient $=23$

Remainder $=10$

Long Answer Questions (5 Marks)

1. Write the smallest and greatest $6$ digit numbers formed by using digits $1,0,5,7$ with repetition.

Ans: consider the given $4$ digits $1,0,5,7$ and with repetition allowed form the greatest and smallest $6$ digit numbers. For the $6$ digit, the greatest number $7$ is the first digit, whereas for the smallest number $1$ will be the first digit. 

Greatest $6$ digit number with repetition $=777,510$ 

Smallest $6$ digit number with repetition $=100,057$

2. Arrange in Descending order $4123676,71204381,176489,3240973$

Ans: From the given numbers it’s clear that each number differs in their digit count so first count the digits.

$4123673=7$ digits

$71204381=8$ digits

$176489=6$ digits

$3240973=7$ digits

Now considering this digit counts, write the given numbers in ascending order. From the greatest number to the smallest number.

Descending order: $71204381,4123676,3240973,176489$.

3. The difference between the two numbers is $3856749$. If the smaller number is $2565638$. Find the greater number.

Ans: we know that difference is obtained by subtracting subtrahend from  minuend.

Minuend $-$ Subtrahend $=$  Difference 

In the problem it is given that, the difference between two numbers is $3856749$ and the smaller number is $2565638$ That means Subtrahend.

Hence, minuend $=$ Difference $+$ Subtrahend

$\Rightarrow 38,56,749+25,65,638=64,22,387$

$\therefore $ the greatest number is $64,22,387$.

4. The mass of a bag is $2kg 890g$. What is the mass of $14$ such bags?

Ans: in the problem it is given that,

Mass of a bag $=2kg 890g$.

So, to find a mass of $14$ such bags multiply $14$ with one bag weight .

$\therefore $ Mass of 14 bags $=\left( 2kg\text{ }890g \right)\times 14$

$=40kg\text{ }460g$

5. A thread of length $20m$ has been divided into $5$ pieces. What is the length of each piece?

Ans: in the problem it is given that, A thread of length $20m$ has been divided into $5$ pieces.

Total length of the thread $=20m$

Number of thread pieces $=5$

Hence length of each thread piece $\dfrac{20}{5}=4m$

6. A man had Rs. $2,08,78,560$ amounts in his bank. He withdrew Rs. $48,36,980$ in the month of January, Rs. $3,95,648$ in the month of February and Rs. $45,000$ in the month of march. What is the amount remaining in his bank account by the end of march?

Ans: In the problem it is given that,

Total amount in bank = Rs. $2,08,78,560$ Amount withdrawn in January = Rs. $48,36,980$ Amount withdrawn in February = Rs. $3,95,648$ Amount withdrawn in March = Rs. $45,000$

Amount remaining in bank account by end of march

$=2,08,78,560-48,36,980-3,95,648-45000$

$=1,56,00,932$.

Amount remaining in bank account by end of march Rs. $1,56,00,932$.

Class 6 Maths Chapter 1 Extra Questions PDF Download

Knowing our numbers class 6 maths important questions pdf is something you need to have when trying to solve problems that might be hard for you. But don’t think about opening up the pdf side by side when you are trying to write down the answer. Also, this pdf is curated to help students who are present in class 6th. Thus, the language is quite simple with lots of jokes and engaging facts. 

You can easily download the class 6 maths chapter 1 important questions in pdf format and save it in your local drive. As a result, you don’t have to be connected with the internet connection all the time to access the answers to your maths problems. The teachers at Vedantu have been in the teaching business for more than 5 years. They know every point that needs to be discussed with the kids to understand the topic better. Thus, you can trust our solved answer Pdfs without any worries.

Class 6 Maths Chapter 1 Extra Questions Concepts 

Before we proceed to tell our students about the crucial questions, we would like to give them a little bit of description about the topics they will cover in this chapter. Given below are the main topics which students will be learning as they go through this chapter.

Numbers

There are many definitions that one can look for if they ask someone what the meaning of numbers is. Well, for starters numbers are the things which are used by humans to count. For example, if you see a single butterfly so if you count in terms of number, it is 1. 

Also, the number system starts from 1, and it goes to infinity there is no end to the numbers. One can go as far as they wanted. With numbers, you can count things, add different products and much more. In terms of mathematics, numbers are the building blocks of real mathematics that we study and learn today.

Ascending Order 

This is one of the new topics and mathematical functions that students get to use to find out the answer. In ascending order, one has to arrange different numbers one after the other depending on their power, which means there are 5 different numbers such as 5, 22, 48, 99, and 27. Then you put these numbers in ascending order by seeing which number is the smallest from the given number and putting it in the first place. 

Here in the given example 5 is the smallest number from all the other numbers. On the other hand, 99 is the most significant number, but it’s in the fourth position, so we put it last. Now we have 22, 48 and 27. We now arrange them by choosing the smallest and the biggest, and that’s how you write the ascending order for the given numbers. The final number line will be 5,22,27,48, and 99.

Descending Order 

The descending order is the total opposite of the ascending order. In this, you need to put the highest number in the first place and the smallest number at the end. The descending order means first comes the biggest, and from there, the numbers will only become small, and the last digit will be the smallest from the whole set of numbers.  

For example, there are 5 numbers present in the box which are 22, 48, 99, 5 and 27. So if a student needs to arrange them, he needs to put the highest number in front and the smallest number at the back or end. So now the number line will look like this. 99, 22, 48, 27 and 5. Just like that, we use the descending order again, and this time we get 99, 48, 27, 22 and 5. This is the descending order of the example.  

Place Value 

A place value defines the positional notation of a digit’s position. This might sound complicated, but it’s nothing to be worried about. Let's clear it by taking an example. Take a big number like 53210. Here let’s try to find out the place value for each single number present.

0 = zero place

1 = one’s place

2 = two’s place

3 = hundered’s place.

4 = thousand’s place

5 = ten thousand’s place. 

The place value is one of the most important concepts as it introduces you to the currency system, and there are two different place values, but in this chapter, we are only discussing Indian place value system. 

Knowing Our Numbers Class 6 Maths Important Questions From Exam Point Of View 

Now that you have revised the topics and mathematical terms of class 6 maths chapter 1 extra questions. Let’s get things going and solve these questions which are written down below. These questions are specially curated by Vedantu’s experienced teacher to test out how much did the student can grasp from the chapter. 

Q1: Write the biggest three-digit number

Q2: Write the greatest four-digit number which doesn’t change even if we reverse the digit which is placed on one’s and second’s place. 

Q3: What must be subtracted to 203 to get a number whose digits are reversed of the given number?

Q4: Write the greatest five-digit number using the digits 7, 9 and 1.

Q5: If the capacity of a water tank is 30 litres, then what will be the capacity of the water tank in millimetres?

Q6: What will be the successor of the greatest 5 digit number?

Q7: What is the place value of the digit 5 in 5431?

Q8: From the given two numbers 24567, and 99871, which one is the biggest number and by how much?

Q9: Write down the following numbers in descending order 63,854, 63,584, 65,348, 68,543, 64,835

Q10: Find out the estimation of 25,148 + 7394 + 9343 + 752.

These are just ten questions you can quickly solve and find their answer on your own if you are stuck somewhere. Follow our step by step solving of the other examples which are present in Pdf. 

Benefits of Solving Class 6 Chapter 1 Maths Important Questions

We know a lot of times students think about not solving many questions from a single chapter once they understand the topic. But let Vedantu give you some advice by showing you the benefits of solving more and more problems from the same chapter.

Clears Out Your Doubts:- When you solve more questions you will gain confidence over the topic which could be new to you. 

Math’s is All About Solving:- The more you solve, the better you learn, meaning when you solve tons of problems you will be well prepared to solve unseen questions which might come in your exams.

Develops Mathematical Power:- It allows students to test out their brains and use their mathematical knowledge to solve both theoretical and real-world problems. 

Maths Gets You Prepared:- Lastly, solving problems will develop a student’s brain to adapt to new changes and new topics which they haven’t encountered yet in their syllabus.

Conclusion 

So there you go, now students, you need to start solving the questions which are present on this page. In addition to this, make sure you complete the worksheets which are located at the end of the chapter as it will help you by giving you the variety of the questions from the same chapter. 

These important questions class 6 maths chapter 1 will help you in making a strong base for your upcoming classes where the mathematical topics start to become a bit more complicated and hard to understand. It’s better if you start learning now and practice solving extra questions with full focus and determination. 

Important Related Links for CBSE Class 6 Maths