Class 6 Exam  >  Class 6 Notes  >  Mathematics (Maths) Class 6  >  Worksheet Solutions: Knowing Our Numbers- 2

Knowing Our Number- 2 Class 6 Worksheet Maths

Ques 1: Fill up the blanks:
(a) Smallest 6-digit number in Indo Arabic Numeration System is __________.

(b) Largest 8-digit number in International Numeration System is
__________.
(c) Expanded notation of 2730145 is __________ .
(d) MDCL in Hindu-Arabic form is written as __________ .
(e) 707 in Roman Numerals can be written as __________ .
Sol: (a) One lakh
(b) Ninety nine million nine hundred ninety nine thousand nine hundred ninety nine.
(c) 2 × 10,00,000 + 7 × 1,00,000 + 3 × 10,000 + 0 × 1000 + 1 × 100 + 4 × 10 + 5
(d) 1650
(e) DCCVII
Explanation: 
(a) The smallest 6-digit number in Indo Arabic Numeration System is "One lakh" which is 100,000. In the Indo Arabic system, the 6-digit numbers start from 100,000.
(b) The largest 8-digit number in International Numeration System is "Ninety nine million nine hundred ninety nine thousand nine hundred ninety nine," which is 99,999,999. In the International system, the 8-digit numbers go up to 99,999,999.
(c) The expanded notation of 2730145 is "2 × 10,00,000 + 7 × 1,00,000 + 3 × 10,000 + 0 × 1000 + 1 × 100 + 4 × 10 + 5," which represents each digit's place value in the given number.
(d) MDCL in Hindu-Arabic form is written as 1650. In Roman numerals, M represents 1000, D represents 500, C represents 100, and L represents 50, so MDCL translates to 1000 + 500 + 100 + 50 = 1650.
(e) 707 in Roman Numerals can be written as "DCCVII," where D represents 500, C represents 100, and VII represents 7.

Ques 2: Using 2, 0, 4, 5 write largest and smallest 4-digit number (without repetition).
Sol: Largest number : 5420 Smallest number : 2045
Explanation: The largest number formed using 2, 0, 4, 5 is 5420, and the smallest number is 2045. This is achieved by arranging the digits in descending and ascending order respectively.

Ques 3: Fill up the blanks using > or < signs:
(i) 2347 ________  2437 ________  2473 ________  2734 ________  2743

(ii) 50725 ________  50572 ________  50527 ________  50275 ________  50257
Sol: 

(i) 2347 < 2437 < 2473 < 2734 < 2743
(ii) 50725 > 50572 > 50527 > 50275 > 50257
Explanation: 
(i) 2347 < 2437 < 2473 < 2734 < 2743, indicating the ascending order of the given numbers.
(ii) 50725 > 50572 > 50527 > 50275 > 50257, indicating the descending order of the given numbers.

Ques 4: Add 825432 and 543082 and write the sum according to Indo Arabic Numeration System.
Sol: Sum = 13,68,514 (Thirteen lakh sixty eight thousand five hundred and fourteen.)
Explanation: The sum of 825432 and 543082 is 1,368,514, which is written as "Thirteen lakh sixty eight thousand five hundred and fourteen" in the Indo Arabic system.

Ques 5: Subtract 405235 from 995432 and write the difference according to International system of numeration.
Sol: 
Difference = 590,197 (Five hundred ninety thousand one hundred ninety seven)
Explanation: The difference between 995432 and 405235 is 590,197, which is written as "Five hundred ninety thousand one hundred ninety seven" in the International system.
Ques 6: If in a garden there are 4592 flowering plants and 3257 fruit trees then what's the total number of plants in the garden?
Sol: 
Total number of plants = 7849
Explanation: The total number of plants in the garden is obtained by adding the number of flowering plants and fruit trees, which is 4592 + 3257 = 7849.
Ques 7: Evaluate : 81 [15 {7 – 2 (7 – 3)}]
Sol: –1215
Explanation:

Step 1: Solve the expression inside the innermost parentheses:
7−2(7−3)=7−2(4)=7−8=−1
Step 2: Substitute the result into the expression inside the brackets:
15×(−1)=−15
Step 3: Substitute the result into the expression within the outermost brackets:
81×(−15)=−1215
So, the evaluation of the expression results in -1215.

Ques 8: A flask has 5 litres of lemonade. How many glasses, each of 200ml capacity, can it fill?
Sol: Number of glasses = 25
Explanation: The number of glasses the flask can fill is obtained by dividing the total volume of lemonade (5 litres = 5000 ml) by the volume of each glass (200 ml), which gives 5000 / 200 = 25 glasses.
Ques 9: Estimate each of the following using general rule:
(i) 842 + 1245
(ii) 19,643 – 13,775
(iii) 2149 × 493
(iv) 5762 ÷ 287
(v) 439 + 8325 – 387
Ans: 

(i) 2,000
(ii) 6,000
(iii) 10,50,000
(iv) 20
(v) 8,000
Explanation:
(i) 842+1245
Round each number to the nearest order of magnitude:
800+1200=2000
(ii) 19,643−13,775
Round each number to the nearest order of magnitude:
20,000−14,000=6000
(iii) 2149×493
Round each number to the nearest order of magnitude:
2000×500=1000000=10,50,000
(iv) 5762÷287
Round each number to the nearest order of magnitude:
6000÷300=20
(v) 439+8325−387
Round each number to the nearest order of magnitude:
400+8000−400=8000

Ques 10: Fill up the blanks:

Knowing Our Number- 2 Class 6 Worksheet Maths

Ans:

Knowing Our Number- 2 Class 6 Worksheet Maths

The document Knowing Our Number- 2 Class 6 Worksheet Maths is a part of the Class 6 Course Mathematics (Maths) Class 6.
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FAQs on Knowing Our Number- 2 Class 6 Worksheet Maths

1. What is the importance of knowing our numbers in mathematics?
Ans. Knowing our numbers is essential in mathematics as it helps in solving mathematical problems, understanding numerical data, and making informed decisions in various real-life situations.
2. How can knowing our numbers help in everyday life?
Ans. Knowing our numbers can help in managing personal finances, calculating discounts and sales prices while shopping, understanding measurements, and interpreting statistics in news reports.
3. Can knowing our numbers improve problem-solving skills?
Ans. Yes, knowing our numbers can improve problem-solving skills as it allows us to analyze and interpret numerical information, identify patterns, and make logical deductions to solve mathematical problems.
4. What are the basic concepts included in knowing our numbers?
Ans. The basic concepts included in knowing our numbers are understanding place value, comparing and ordering numbers, performing arithmetic operations, and interpreting numerical data in various forms.
5. How can knowing our numbers help in academic success?
Ans. Knowing our numbers is crucial for academic success as it forms the foundation for advanced mathematical concepts, helps in understanding mathematical principles, and enables students to excel in exams and competitions.
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