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c. To make one bookshelf, a carpenter needs the

following things: 4 long wooden panels, 8 short
wooden panels, 16 small clips, 4 large clips, 32 screws.
The carpenter has a stock of 264 long wooden panels,
306 short wooden panels, 2400 small clips, 120 large
clips and 2800 screws. How many bookshelves can
the carpenter make?

21 st
Mixed MAtheMAtiCAL oPerAtionS Century #Subject Enrichment
Skills

We have been doing the operations of addition,
subtraction, multiplication and division separately. Tips
But when these operations occur in a single sum,
they can produce different results when a
certain order is not followed. Two or more numbers connected
by one or more operation signs
form a numerical expression.
Let us simplify 30 – 20 ÷ 5 + 5 × 1.

Possibility 1. Possibility 2. Possibility 3.
30 – 20 ÷ 5 + 5 × 1 30 – 20 ÷ 5 + 5 × 1 30 – 20 ÷ 5 + 5 × 1

[ Subtract: 30 – 20 = 10] [ Multiply: 5 × 1 = 5] [ Divide: 20 ÷ 5 = 4]

= 10 ÷ 5 + 5 × 1 = 30 – 20 ÷ 5 + 5 = 30 – 4 + 5 × 1
[Divide: 10 ÷ 5 = 2] [ Add: 5 + 5 = 10] = 30 – 4 + 5 [Multiply: 5 × 1 = 5]

= 2 + 5 × 1 [Add: 2 + 5 = 7] = 30 – 20 ÷ 10 = 30 + 5 – 4 [Rearrange and

= 7 × 1 = 7 [Multiply: 7 × 1 = 7] [Divide: 20 ÷ 10 = 2] Add: 30 + 5 = 35]
= 30 – 2 = 28 = 35 – 4 = 31

[Subtract: 30 – 2 = 28] [Subtract: 35 – 4 = 31]

We can simplify the above expression in many more ways to get all different results.
Hence, it is very important that we follow a certain order to solve such problems correctly.

dMAS
A numerical expression is simplified to get the answer by following the rule of DMAS.

According to this rule, we first divide then Multiply, next Add and finally Subtract. So,
the order of operations is:

division ⇒ Multiplication ⇒ Addition ⇒ Subtraction

D M A S

58 Mathematics 5