Ques 1: Fill up the blanks:
(a) Smallest 6digit number in Indo Arabic Numeration System is __________.
(b) Largest 8digit number in International Numeration System is
__________.
(c) Expanded notation of 2730145 is __________ .
(d) MDCL in HinduArabic 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 6digit number in Indo Arabic Numeration System is "One lakh" which is 100,000. In the Indo Arabic system, the 6digit numbers start from 100,000.
(b) The largest 8digit 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 8digit 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 HinduArabic 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 4digit 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:
Ans:
94 videos347 docs54 tests

1. What is the importance of knowing our numbers in mathematics? 
2. How can knowing our numbers help in everyday life? 
3. Can knowing our numbers improve problemsolving skills? 
4. What are the basic concepts included in knowing our numbers? 
5. How can knowing our numbers help in academic success? 

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