Aida applied the distributive property to write the equivalent expressions below. 15 + 21 = 3 (4 + 8) What is Aida’s error?
Answers
Answer:
In place of 4 and 8 she had to write 5 and 7
Step-by-step explanation:
15 + 21 = 3(4+8)
Substituting (4+8) by (5+7)
15 + 21 = 3(5+7)
36 = 3*5 + 3*7
36 = 15 + 21
36 = 36
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Given : Aida applied the distributive property to write the equivalent expressions below. 15 + 21 = 3 (4 + 8)
To Find : What is Aida’s error
Solution:
Distributive property
a( b + c) = ab + ac
15 + 21 = 3 (4 + 8)
LHS
= 15 + 21
= 3 * 5 + 3 * 7
ab + ac = a( b + c)
a = 3 , b = 5 , c = 7
= 3(5 + 7)
But she wrote
= 3( 4 + 8)
This is Aida error
Aida did not correctly divide by the common factor to get (4 + 8).
However final result is same
as 3(5 + 7) = 3(12) = 36
3(4 + 8) = 3(12) = 36
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