Class name Subject Book title Chapter number Content Created at
Class VII Mathematics Ganita Prakash-II 2 (b) 120. 10. An alien society uses a peculiar currency called ‘pibs’ with just two denominations of coins — a+13 pibs coin and a – 9 pibs coin. You...
Class VII Mathematics Ganita Prakash-II 3 FINDING COMMON GROUND 3.1 The Greatest of All Sameeksha is building her new house. The main room of the house is 12 ft by 16 ft. She feels that the...
Class VII Mathematics Ganita Prakash-II 3 the previous problem, 4 is the HCF of 12 and 16. We can draw rough diagrams like the one shown on the previous page to visualise the given scenario...
Class VII Mathematics Ganita Prakash-II 3 longest jump size (starting from 0) using which Jumpy can land on both the numbers having the treasure. (a) 14 and 30 (b) 7 and 11 (c) 30 and 50 (d...
Class VII Mathematics Ganita Prakash-II 3 3 × 2 × 3 × 5, andwehavearrivedatthesameprimefactors,justinadifferentorder. Note that the prime factorisation of a prime number is the prime number...
Class VII Mathematics Ganita Prakash-II 3 by to get 840? To answer these questions, we can reorder the prime factors of 840 as follows (recall that reordering factors does not change the pr...
Class VII Mathematics Ganita Prakash-II 3 factors) (e) 840 (this number has 32 factors) After observing a few prime factorisations, Anshu claims “The larger a number is, the longer its prim...
Class VII Mathematics Ganita Prakash-II 3 them is 15. So, their HCF = 15. Example 2: Find the common factors, and the HCF of 112 and 84. Calculating prime factorisations, we get, 112 = 2 × ...
Class VII Mathematics Ganita Prakash-II 3 those primes that occur in both the factorisations: 2 and 3 in this case. How many 2s will it contain? 53 Ganita Prakash | Grade 7 | Part-II The pr...
Class VII Mathematics Ganita Prakash-II 3 180 (b) 42, 75, 24 (c) 240, 378 (d) 400, 2500 (e) 300, 800 2. Consider the numbers 72 and 144. Suppose they are factorised into composite numbers a...
Class VII Mathematics Ganita Prakash-II 3 Monday and Kabamai enjoyed eating the gajak. But she visits the sweet shop once every 10 days. When is the next time she would be able to get free ...
Class VII Mathematics Ganita Prakash-II 3 and 55 Is the answer always the LCM of the two numbers? Explain. As in the case of the HCF, the process of finding the LCM by listing down the mult...
Class VII Mathematics Ganita Prakash-II 3 among all the common multiples of 14 and 35? It is 2 × 5 × 7 = 70 because 2 × 5 × 7 contains 14 = 2 × 7 as well as 35 = 5 × 7, and removing any num...
Class VII Mathematics Ganita Prakash-II 3 96 doesn’t have any 5s and the factorisation of 360 has one occurrence of 5. So, we choose one occurrence of 5 to be a part of the LCM. Thus, the L...
Class VII Mathematics Ganita Prakash-II 3 (a) if m is a number, what could be the other number? (b) if 7k is a number, what could be the other number? Figure it Out 1. Make a general statem...
Class VII Mathematics Ganita Prakash-II 3 × 3 × 3 × 5 100 = 2 × 2 × 5 × 5 HCF = 2 × 2 × 5 =20. Consider the following two multiples of 14 — 14 × 6, 14 × 9. What is their HCF? Clearly, 14 is...
Class VII Mathematics Ganita Prakash-II 3 cases. 2 300, 150 2 630, 770 5 150, 75 5 315, 385 5 30, 15 7 63, 77 3 6, 3 9, 11 2, 1 HCF = 2 × 5 × 5 × 3 HCF = 2 × 5 × 7 This procedure not only g...
Class VII Mathematics Ganita Prakash-II 3 one of them. Between the HCF and the LCM, see how the common and non-common prime factors get distributed. In the product, observe how these two ki...
Class VII Mathematics Ganita Prakash-II 3 the smallest number that is divisible by 3, 4, 5 and 7, but This leaves a remainder of 10 when divided by 11. 9. Children are playing ‘Fire in the ...
Class VII Mathematics Ganita Prakash-II 3 we have to list every possible subpart! • The Highest Common Factor (HCF) is the highest among all the common factors of a group of numbers. ƒ Ever...
Class VII Mathematics Ganita Prakash-II 4 ANOTHER PEEK BEYOND THE POINT 4.1 A Quick Recap of Decimals Recall that decimals are the natural extension of the Indian place value system to repr...
Class VII Mathematics Ganita Prakash-II 4 as it is and place a decimal point at the end. 123. Step 2: Count the number of zeroes in the divisor. 10 1 zero Step 3: Move the decimal point fro...
Class VII Mathematics Ganita Prakash-II 4 be a natural number? Example 3: The distance between Ajay's school and his home is 827 m. He walks to school in the morning and then walks back hom...
Class VII Mathematics Ganita Prakash-II 4 decimals is the same as the multiplication of their corresponding fractions. When multiplying fractions, we multiply the numerators and denominator...
Class VII Mathematics Ganita Prakash-II 4 8 = 2, the product (2) is greater than 0.25 but less than 8. In the case of 0.25 × 0.8 = 0.2, the product (0.2) is less than both 0.25 and 0.8. Whe...