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Knowing Our Numbers- 1 Class 6 Worksheet Maths

Fill in the blanks

Q1: The number name of 45,678 in the Indian system of numeration is ________.
Ans: The number name of 45,678 in the Indian system of numeration is Forty-five thousand, six hundred seventy eight.

Q2: Place value of 4 in '56743' is ________.
Ans:  Place value of 4 in '56743' is 40.

Q3: The number name of 756,432 in the international system of numeration is ________.
Ans: The number name of 756,432 in the international system of numeration is Seven hundred fifty six thousand, four hundred thirty two.


Fill in the blanks

Q4: In the Indian System of Numeration, the number 61711682 is written, using commas, as __________.

Ans:  In the Indian System of Numeration, the number 61711682 is written, using commas, as  6,17,11,682.

Q5: The smallest 4-digit number with different digits is __________ . 

Ans: The smallest 4-digit number with different digits is 1023

Match the Following

Q6: Match the correct options 

Match the FollowingAns: 

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

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

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

(d) 1 crore = (iii) 10 million. 

Multiple Choice Questions

Q 7: 1 billion is equal to
(a) 100 million
(b) 10 millions
(c) 1000 lakhs
(d) 10000 lakhs

Ans: The correct answer is (d) 10000 lakhs.

Q8: Which number is the smallest among the following?
(a) 2836
(b) 4927
(c) 7492
(d) 9024
Ans:
(a) 2836

Q9: Which is the greatest 4-digit number you can form using the digits 2, 8, 7, and 4?
(a) 2847
(b) 8742
(c) 4728
(d) 7284
Ans:
(b) 8742

Q10: Which number is greater in the comparison of 4875 and 4542?
(a) 4875
(b) 4542
(c) Both are equal
(d) Not determinable
Ans:
(a) 4875

Q11: If the digit 7 is always at the ones place, what is the greatest 4-digit number you can form with the digits 7, 8, 9, and 3?
(a) 9837
(b) 9873
(c) 9378
(d) 9738
Ans: 
(a) 9837

Solve the following problems

Q12: A box contains 5,00,000 medicine tablets, each weighing 50 mg. What is the total weight of all the tablets in the box in grams and in kilograms?

Ans: Weight of each tablet = 50 mg
Weight of box containing 5,00,000 tablets = 5,00,000 × 50 mg.
= 2,50,00,000 mg
= 2,50,00,000 mg/1000 = 25000 g
= 25000 g/1000 = 25 kg


Q13:  The population of Shivaji park was 2,35,471 in the year 2002. In the year 2012, it was found to be increased by 72,958. What was the population of the city in 2012?
Ans: Population of Shivaji park in the year 2002 = 2,35,471
Increase in the population in the year 2012 = 72,958
Total population of the city in the year 2012 = 2,35,471 + 72,958 = 3,08,429


Q14: The town newspaper is published every day. One copy has 12 pages. Every day 12,000 copies are printed. How many total pages are printed every day?
Ans: Number of pages in each copy = 12
Number of pages in 12,000 copies = 12,000 × 12 = 1,44,000
Therefore, number of pages printed every day = 1,44,000


Q15: Starting from the greatest 5-digit number, write the previous five numbers in descending order.
Ans: The largest 5-digit number is 99999.
The previous five numbers starting with 99999 in descending order are:
99999, 99998, 99997, 99996, 99995


Q16: Write 527864 using commas in Indian as well as International System of Numeration.
Ans: The given number is 527864
Indian system of numeration = 5,27,864
International system of numeration = 527,864

Q17: In Mumbai, the number of bicycles sold in the year 2011-2012 was 7,43,000. In the year 2012-2013, the number of bicycles sold was 8,00,100. In which year, more bicycles were sold and by how many?
Ans: The number of bicycles sold in the year 2011-2012 = 7,43,000
The number of bicycles sold in the year 2012-2013 = 8,00,100
We observe that 8,00,100 > 7,43,000
That is, in the year 2012-2013, more bicycles were sold by (8,00,100 - 7,43,000) = 57,100


Q18: Write 8945673 using commas in Indian as well as International System of Numeration.
Ans: The given number is 8945673
Indian system of numeration = 89,45,673
International system of numeration = 8,945,673


Q19: The number of sheets of paper available for making notebooks is 25,000. Each sheet makes 12 pages of a notebook. Each notebook contains 300 pages. How many notebooks can be made from the paper available?
Ans: Number of sheets of paper available = 2,5000
Number of pages can be made with 1 sheet of paper = 12
Number of pages can be made with 2,5000 sheets of paper = 2,5000 × 12 = 3,00,000
Number of pages in each notebook = 300
Number of notebooks that can be prepared with the paper available = 3,00,000/300
= 1000 notebooks


Q20: The distance between the school and the house of a student is 1 km 875 m. Every day she walks both ways. Find the total distance covered by her in 15 days.
Ans: Distance between the school and the house = 1 km 875 m
= 1000 m + 875 m
= 1,875 m.
Distance travelled by the student both ways, every day = 1,875 m × 2 = 3,750 m
Distance travelled by the student in 15 days = 3,750 m × 15
= 56,250 m
= 56 km 250 m

The document Worksheet Solutions: Knowing Our Numbers- 1 is a part of the CTET & State TET Course Mathematics & Pedagogy Paper 2 for CTET & TET Exams.
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FAQs on Worksheet Solutions: Knowing Our Numbers- 1

1. How do I compare numbers using place value in "Knowing Our Numbers"?
Ans. Comparing numbers depends on understanding place value-digits in higher positions (like thousands) always determine which number is greater. Count the total digits first; more digits means a larger number. If digit counts are equal, compare digits from left to right, starting with the highest place value. This method works for all multi-digit comparisons in CBSE mathematics.
2. What's the difference between face value and place value that keeps confusing me?
Ans. Face value is the actual digit itself, unchanged regardless of position (the digit 5 always has face value 5). Place value multiplies that digit by its position's worth-a 5 in the thousands place equals 5,000. Understanding this distinction helps solve number formation problems and decomposition exercises commonly asked in TET exams.
3. How do I arrange numbers in ascending and descending order correctly?
Ans. For ascending order, place smallest numbers first by comparing place values systematically from left to right. Descending order reverses this-largest first. Write numbers in columns aligned by place value to avoid errors. This ordering skill directly supports worksheet solutions involving numeral manipulation and builds competency for competitive mathematics assessments.
4. Why do leading zeros not count when writing numbers?
Ans. Leading zeros (zeros at the start) don't change a number's value-writing 0045 and 45 represent identical quantities. Only zeros within or at the end of numbers affect place value. Recognising this prevents common mistakes in "Knowing Our Numbers" problems where students incorrectly count digit positions or miswrite numerals.
5. What are the steps for forming the largest and smallest numbers from given digits?
Ans. For the largest number, arrange digits in descending order (biggest first). For the smallest, arrange in ascending order, but place zero after the first non-zero digit to avoid leading zeros. This technique appears frequently in worksheet solutions and requires understanding digit ordering combined with place value principles for Class 5 mathematics.
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