Learning Objective v Place valueIndian and International system

Learning Objective v. Place value(Indian and International system of numeration) v. Comparison of numbers( Ascending and Descending Order) v. Roman numbers

PLACE VALUE O Place value of a digit in a given number is the value of the digit because of the place or the position of the digit in the number. O They are two types: O Indian System O International System

Indian System O In the Indian system of numeration, starting from the right, the first period is the ones period consisting of three place- ones, tens and hundreds. The other periods to the left of the ones period have two places values each.

INTERNATIONAL SYSTEM OIn the International System of numeration, all the periods have three place values each.

COMPARISON OF NUMBERS O They are two types : O Ascending and Descending Order.

Ascending Order O Arrangement of the numbers from smallest to largest is called ascending order. O Eg : O 15, 40, 532 4, 24, 572 3, 13, 01, 046 74, 058 O ans : 74, 058 4, 24, 572 15, 40, 532 3, 13, 01, 406

Descending Order O Arrangement of numbers from largest to smallest is called descending order. O Eg : 35, 40, 872 35, 27, 840 87, 20, 354 2, 78, 345 O Ans ; 87, 20, 354 35, 40, 872 35, 27, 840 2, 78, 345

There are four basic principles for reading Roman Numerals and writing Roman numerals: • 1 A letter repeats its value that many times (XXX = 30, CC = 200, etc. ). A letter can only be repeated three times. • 2 If one or more letters are placed after another letter of greater value, add that amount. VI = 6 (5 + 1 = 6)LXX = 70 (50 + 10 = 70)MCC = 1200 (1000 + 100 = 1200)

O 3. If a letter is placed before another letter of greater value, subtract that amount. IV = 4 (5 – 1 = 4)XC = 90 (100 – 10 = 90)CM = 900 (1000 – 100 = 900) Several rules apply for subtracting amounts from Roman numerals: O a. Only subtract powers of ten (I, X, or C, but not V or L)For 95, do NOT write VC (100 – 5). DO write XCV (XC + V or 90 + 5) O b. Only subtract one number from another. For 13, do NOT write IIXV (15 – 1 - 1). DO write XIII (X + I + I or 10 + 3) O c. Do not subtract a number from one that is more than 10 times greater (that is, you can subtract 1 from 10 [IX] but not 1 from 20—there is no such number as IXX. )For 99, do NOT write IC (C – I or 100 - 1). DO write XCIX (XC + IX or 90 + 9)

O 4. A bar placed on top of a letter or string of letters increases the numeral's value by 1, 000 times. XV = 15, 000

One I Eleven XI Thirty XXX Two II Twelve XII Forty XL Three III Thirteen XIII Fifty L Four IV Fourteen XIV Sixty LX Five V Fifteen XV Seventy LXX Six VI Sixteen XVI Eighty LXXX Seven VII Seventee XVII n Ninety XC Eight VIII Eighteen XVIII One hundred C Nine IX Nineteen XIX Five hundred D Ten X Twenty XX One M thousand

QUESTION TIME O Write down the place value of a colored digits: Qa. 3567956 a. 2030 b. 7000 c. 700000

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Qb. 4567889 a. 40000000 b. 4000000 c. 40000007

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Q 3. 5678909 write in indian system. O Fifty six lakh seventy eight thousand nine hundred eight O Five hundred sixty nine thousand four lakh crore. O Fifty six lakh seventy eight thousand nine hundred nine. .

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O Write in roman number. Q 1. 234 a. CCXXXVI b. CCXXXIV c. CIVXX

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O Write in Hindu-Arabic. DCC a. 5200 b. 700 c. 400

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