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Ex 3.5, 7 - Chapter 3 Class 6 Playing with Numbers
Last updated at March 16, 2023 by Teachoo
Ex 3.5
Ex 3.5, 1 (a)
Ex 3.5, 1 (b) Important
Ex 3.5, 1 (c) Important
Ex 3.5, 1 (d)
Ex 3.5, 1 (e) Important
Ex 3.5, 1 (f)
Ex 3.5, 1 (g)
Ex 3.5, 1 (h) Important
Ex 3.5, 1 (i) Important
Ex 3.5, 2
Ex 3.5, 3 Important
Ex 3.5, 4
Ex 3.5, 5 Important
Ex 3.5, 6 Important
Ex 3.5, 7 You are here
Ex 3.5, 8 Important
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Ex 3.5, 10 Important
Ex 3.5, 11 Important
Ex 3.5, 12
Transcript
Ex 3.5, 7 The product of three consecutive numbers is always divisible by 6. Verify this statement with the help of some examples.Let us find Product three consecutive numbers 1 × 2 × 3 2 × 3 × 4 3 × 4 × 5 4 × 5 × 6 5 × 6 × 7 = 210 10 × 11 × 12 = 1320 12 × 13 × 14 = 2184 13 × 14 × 15 = 2730 Let’s check if these numbers are divisible by 6 If a number is divisible by 6 it is divisible by 2 it is divisible by 3 We note that in all numbers Numbers ends with 0, 2, 4, 6, 8 ∴ It is divisible by 2 Sum of digits is divisible by 3 ∴ It is divisible by 3 Since all numbers are divisible by 2 & 3 They will be divisible by 6 ∴ Product of any three consecutive numbers is divisible by 6
