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Ex 3.5, 7 - Chapter 3 Class 6 Playing with Numbers
Last updated at Dec. 16, 2024 by Teachoo
Chapter 3 Class 6 Playing with Numbers
Concept wise
- Factors and Multiples
- Perfect number
- Prime and Composite Numbers
- Sum of prime numbers
- Prime numbers from 1 to 100
- Divisibility Tests - Divisibility by 5, 10, 2
- Divisibility Tests - Divisibility by 4, 8
- Divisibility Tests - Divisibility by 3, 6, 9
- Divisibility Tests - Divisibility by 11
- Divisibility Tests - All
- Common Multiples
- Common Factors
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More Divisibility Rules
- Factor Tree
- Prime Factorisation
- Highest Common Factor
- Lowest Common Multiple
- Statement questions on LCM
- Statement questions on HCF
Transcript
Ex 3.5, 7 The sum of two consecutive odd numbers is divisible by 4. Verify this statement with the help of some examples.Let us find the sum of two consecutive odd numbers 1 + 3 3 + 5 5 + 7 7 + 9 13 + 15 = 28 31 + 33 = 64 101 + 103 = 204 123 + 125 = 248 Let’s check if these numbers are divisible by 4 If a number is divisible by 4, its last two digits are divisible by 4 Here, last two digits are 4, 8, 12, 16, 28, 64, 04, 48 They are divisible by 4 So, the number is also divisible by 4 ∴ Sum of two consecutive odd numbers is always divisible by 4
