Question

Let a, b, c be the three rational numbers where a=2/3, b=4/5, c= -5/6 verify: 1) a+(b+c) =( a+b) +c

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

Concept:

a + (b+c) = (a + b) + c is associative property of whole numbers.

Find:

Let a, b, c be the three rational numbers where a=2/3, b=4/5, c= -5/6

Given:

verify: 1) a+(b+c) =( a+b) +c

Step-by-step explanation:

The word "associative" comes from "associate" or "group"; the Associative Property is the rule that refers to grouping. For addition, the rule is "a + (b + c) = (a + b) + c"; in numbers, this means 2 + (3 + 4) = (2+3) + 4.

As per this property or law, when we add three numbers, the association of numbers in a different pattern does not change the result. It means that when the addition of three or more numbers, the total/sum will be the same, even when the grouping of addends are changed. We can represent this property as;

• A+(B+C) = (A+B)+C

Let a, b, c be the three rational numbers

$lhs$

$a + (b + c)$

$\frac{2}{3} + ( \frac{4}{5} + - \frac{5}{6} )$

$\frac{2}{3} + ( \frac{24 - 25}{30} )$

$\frac{2}{3} - \frac{1}{30}$

$\frac{20 - 1}{30}$

$\frac{19}{30}$

$rhs$

$(a + b) + c$

$( \frac{2}{3} + \frac{4}{5} ) + - \frac{5}{6}$

$( \frac{10 + 12}{15}) - \frac{5}{6}$

$\frac{22}{15} - \frac{5}{6}$

$\frac{44 - 25}{30}$

$\frac{19}{30}$

$lhs = rhs$

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