Numbers and Comparisons in Mathematics

Dive into the world of numbers with a focus on large numbers, digits, and comparisons in mathematics. Explore the significance of digits, learn rules for comparing numbers, and practice examples to enhance your understanding. Master the art of determining the smallest and greatest numbers based on the number of digits and leftmost digit comparisons.

• Mathematics
• Numbers
• Large Numbers
• Digit Comparison
• Mathematics Syllabus

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1. MANAVA BHARATI INDIA INTERNATIONAL SCHOOL VIRTUAL LEARNING

2. MATHEMATICS COURSE BOOK MATHEMATICS SYLLABUS CLASS V (2020-21) PERIODIC ASSESSMENT (1) (APRIL- MAY) Chapter 1: LARGE NUMBERS Chapter 6: GEOMETRY

3. INTRODUCTION Numbers play an important role in mathematics. In day to day life we denote time of the day, the month the date by a number only. We have studied about counting numbers in primary classes. Here we will have the idea of larger numbers.

4. DIGITS DIGITSThe symbols 0,1,2,3,4,5,6,7,8 and 9 that are used to write a numeral are called digits. A combination of these 10 digits are used to form a number. Example: (a) 34 is a 2-digit number. (b) 4079 is a 4-digit number. (c) 12999 is a 5-digit number.

5. COMPARING NUMBERS Symbols used for comparision Greater than equal to > less than (smaller than) < Equal to = Not equal to

6. RULES OF COMPARISION If the two numbers have a different number of digits then the number with the larger number of digits is greater. If the two numbers have an equal number of digits then follow these steps: Compare the digits at the leftmost place in both the numbers. If both the numbers have the same digit at the leftmost place, compare their second digit from the left If the first as well as the second digit from the left are equal then compare their third digit from the left.

7. EXAMPLE Which number is smallest and which is greatest: 419, 100, 3452, 45233, 22 Smallest number .. 23 Greatest number ..45233 Remember Numbers with less number of digits is lesser than the number with more number of digits.

8. COMPARING NUMBERS WITH SAME NUMBER OF DIGITS Let us take four numbers: 4192, 5200, 9100, 6784 Look for the most Look for the left digit Smallest number 4192 Greatest number 9100 Remember : Here comparison is done by comparing the left most digit.

9. SOLVED EXAMPLES Eg.1- which is greater: 24576813 or 9897686? Sol.- A number with more digits is greater so, 24576813 > 9897686 Eg.2 - which is smaller: 1003467 or 987965? Sol.- A number with less digits is smaller so, 1003467 < 9897965 Example

10. REAL WORLD EXAMPLE The table shows the two largest ocean in the world. Which ocean has a greater area? STEP 1: Line up the numbers so that the digits in the ones place align. ATLANTIC OCEAN 3,34,20,160 OCEAN AREA(sq miles) appr. 6,41,86,600 Atlantic ocean 3,34,20,160 STEP 2: Begin at the greatest place ,compare the digits Pacific ocean 6,41,86,600 3,34,20,160 6,41,86,600 6 > 3 6,41,86,600 > 3,34,20,160 So , the pacific ocean has a greater area. PACIFIC OCEAN

11. TRY THESE Can you instantly find the greatest and the smallest numbers in each row? 382, 4972, 18, 59785, 750. Ans. 59785 is the greatest and 18 is the smallest. 1473, 89423, 100, 5000, 310. greatest . smallest .. 1834, 75284, 111, 2333, 450 . greatest . smallest .. 2853, 7691, 9999, 12002, 124. greatest . smallest ..

12. DO PRACTICE Insert the correct sign > , < or =. 9,09,01,188______________ 9,09,01,176 6,62,30,870 _____________ 6,62,30,008 1,15,45,675______________ 1,15,45,675 32,077,084 _____________ 39,077,684 8,133,565 _____________ 8,003,356

13. REVISE TABLES FROM 2 TO 5 Students must follow the PowerPoint and answer the questions given. They can handover the notebook with their answer once the school reopens. THANKYOU RENU MIDHA