Mathematics Notes PDF

Notes Bohanl hrough Denomination 100 50...

Notes Bohanl hrough Denomination 100 50 of 20 the 10 500 Bxampl e +000 Write 22: Solution: What number must be getonelakh? Required number lakh 89,234 = added to 89.234 to - = 1,00,000- 89.234 89, 234 |0. 766 Thus, 10,766 must=be10,766 Ilakh. Exercise man bought3F Á plot a Qf land added to 89.234 to get ?45,362. Howmuch profit didhe earn? By how for? 37,899 and sold it for much is 98,720 The sum of two numbersgreater than one number is 48,634,findthe other number. is 70,501..If 89,293: 3,79,944Jandthat of The Islandsis Nicobar Islands more Damanpopulation and Diu (as is per 2011 census) of Andaman and Nicobar Andaman and than that of Mr Sinha 2,42,91DHow Daman and Diu? much his the population of 1,08,572. How much earned he earned did he earn in the 2,57,360 two years. in In one of those years other year? withdrew) 28,635in eAnil's balance the month of on 1st September in his bank account was 349.500/He 1,19,820 in the month of and September, 35,013 in the month of October NovemberWhat was his balance on 1st Decemberf Z What must be added to 1,79,415 to make three lakn: of the numbers esumn or twonumbers is six lakh forty-nine tholSand seven hundred twelve. Ifone is4,93,700, find the other number. How much more is the difference of 90,400.and 50.648.than the difference of 80,312 and 60,185. 1kWrite the largest and the smallest 6-digit number using the digits 2,5,0,7,6,3 and find the difference between them. Estimating Sums and Differences To estimate a sum or adifference, nrSt Tound oM each number to its nearest tens. hundreds or housands as per the number of digits in the numbers and then add or subtract. Exumple23: 02 Mrinide. Sharma owns amobile phone shop. He has 54 mobile phones on display and Estimate how many mobile phones does he have in stock? Number of mobile phones in stock = 5 4 So ution: 5 0 + 9 3 9 0 Estimated sum 1 4 0 Mr Sharma has about 140 mobile So, phones in stock.  294 by #47o H410 by 360 3. 623 by 109183. U0y 40 2. GRA/ by 18 99598 b y4 8 2 9. 45196334 by769 ( 9 14(067 by 14/ 10. Hl':y ZGu GR/6 by 48 2641 by 691 Werd'roblems 35 239 8.365 fo load 717 "Souio NOS 0 bags CanbupN? Dumber I195 of bhe oled in waon, Therefore. 8365 239. -195 wagons Tquired oload 8365 bags = 0 Thus. 35 wagons ate requircd to load 8365 bags. all the 33 wants thefilm Exercise 5E at a principal time.The manytimes must 1he of a school can seat 417 peopleonwild life.Howmany auditorium at studentsin the local schools to see aspecialfilm days shown sothat every student can seethefilm once? this rate, how many At Piya, the peanuts in a day.. elephant, can eat 623 Would she take to eat 4361 peanuts? 224 balloons of 1 :153 1 balloons.If atotal Jachdown at the circus was handed out clowns were there! were handed out in all. how manv containing 165 screws. 39,600 screws were packed in boxes each 4. In a factory used. Determine the number of boxes person_How much will among 536 of ? 87,042 is to be divided equally be left over? )(A sumpersonreceive and howmuch will each Example 31: Simplify:2+8+2+18x 19 Solution: +84+2+1x1 + * 1 2 = + 19 18 3 1 1 1 Exercise 8K Simplify: 3. 7 1.+}+ 2. -}* 4. 1320 X 8 63 6 35 s.5. 1x2+3 1 6. x4-x 6 3 mln 33 14 x12+13 9. Lx2%+ 4 (10. -2-4) () -*}x (i2) 12. 4x3+ Mental Maths  Exercise GD 6Find the common factors of (a) 6 and 10 (b) 12 and 16 (c) 12, 18 and 32 (d) 8,12 and 30 MJFindthe HCF of the following by listing the common factors. 15, 25 (b) 12,35 (c) 24,32 (d) 18, 27 Find the HCF of the following by common division method. (a) 16,28, 36 (b) 12, 18,42 (c) 30,75,90 (d), 24, 32,48 Find the LCM of the following by listing the multiples. (a) 4 and 10 (b) 6and 9 (c) 8 and12 (d) 5 and 15 5 Find the LCM of the following by common division method. (a) 32 and 36 (b) 4,14 and 20 (c) 12,28 and 32 fe 25, 40 and 45 Divisibility Rules One number is divisible by another ifit can be divided with no remainder, Here are some co rules which help us to find at aglance whether a given number is not, without actually dividing it. divisible by another nl Divisibility by 2 Anumber is by 2. if its last digit is an even number. that is or8 divisible the number ends in C