If p = 5/6, q = -7/6 and r= 13/16, then verify associative property of addition for these rational
numbers.
Answers
Answer:which rational numbers
Step-by-step explanation:
Given :
• p = 5/6, q = -7/6 and r = 13/16
To find :
• The verification of associative property of addition for these rational numbers.
Solution :
~ We are given with three rational numbers, We're asked to verify the associative property of addition, We know that ( p + q ) + r = p + ( q + r ) is the associative property for addition. Let's verify it!
According to the question,
⟶ ( p + q ) + r = p + ( q + r )
⟶ ( 5/6 + -7/6 ) + 13/16 = 5/6 + ( -7/6 + 13/16 )
⟶ ( -2/6 ) + 13/16 = 5/6 + ( -56 + 39/48 )
⟶ -2/6 + 13/16 = 5/6 + -17/48
⟶ -16 + 39/48 = 40 + -17/48
⟶ 23/48 = 23/48
- LHS = RHS
Hence, Verified!
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⠀⠀⠀⠀⠀• Additional information :
- Communicative property : However the factors are added, The sum obtained will be the same.
Ex - 45 + 19 = 19 + 45.
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- Associative property ; However the factors are grouped, The sum obtained by them will be the same.
Ex - (53 × 21) × 81 = 53 × (21 × 81)
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- Distributive property : The sum of two factors is attached with a addition sign.
Ex - (27 × 89) + (27 × 5) = 27 × (89 + 5)
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