When the nodes for addition and subtraction are interchanged the value remains the same which is represented using tree diagram as given below.

**Conversion
of Tree Diagrams into Numerical Expressions**

For instance, consider the tree

We could first find as 10, then as 5

when we multiply the results 10 and 5 we get 50.
When the nodes for addition and subtraction are interchanged the value remains the
same which is represented using tree diagram as given below.

Does it mean that the branches also can be interchanged
? Yes, when the node is addition it is possible.

But it is not possible when the node represents
subtraction.

Therefore from this tree diagram.

The expression can be converted into either (10−5)
× (8 + 2) or (8 + 2) × (10 − 5) or (2 + 8) × (10 − 5) or (10 − 5) × (2 + 8) without
changing the value.

** **

__Example 11: __

Convert the tree** **diagram into numerical expression.

**Tree
diagram **

**Numerical Expression**

15− 6 + 9
.

** **

__Example 12: __

Convert the Tree diagram** **into a numerical expression.

**Tree diagram**

**Numerical Expression **

8 × 9 + 10
.

** **

__Example 13: __

Convert the Tree diagram into** **a numerical expression.

**Tree diagram**

**Numerical Expression**

10 × 6 +
6 ÷ 2
.

** **

__Example 14: __

Convert the Tree diagram into a numerical
expression.

**Tree diagram**

**Numerical Expression**

**[7** × 9 + 2] + [6 – 3 + 3].

Tags : Information Processing | Term 2 Chapter 5 | 6th Maths , 6th Maths : Term 2 Unit 5 : Information Processing

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6th Maths : Term 2 Unit 5 : Information Processing : Conversion of Tree Diagrams into Numerical Expressions | Information Processing | Term 2 Chapter 5 | 6th Maths

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