Computation Operations

This chapter introduces BODMAS which is an important concept in mathematics.

Rules of BODMAS

BODMAS is a mathematical sequence operator that assists in the resolution of mathematical problems by indicating the sequence in which different parts of a mathematical problem with multiple operations are to be solved.

BODMAS stands for Brackets, Orders, Division, Multiplication, Addition and Subtraction.

The sequence of operations in BODMAS is as follows:

1. B - Brackets: First, we look for any numbers or operators inside brackets like ( ), { } and [ ]. We do those first and if there are more brackets inside, we do the ones inside first.
2. O - Orders (Exponents and Roots): After brackets, we check for any numbers with powers like squares (²) cubes (³) or square roots (√). We do those calculations next.
3. D - Division: Then, we do any divisions (÷) from left to right. If there is more than one division, we do them one by one in the order they come.
4. M - Multiplication: After division, we do any multiplications (×) also from left to right. Just like division, we do them one by one in the order they come.
5. A - Addition: Now, we move on to addition (+). We add the numbers from left to right.
6. S - Subtraction: Finally, we do any subtractions (-) from left to right, just like addition.

It is necessary to work on them from right to left, shown as:

Remember, BODMAS helps us solve math problems step by step, so we always get the right answer! 

Example 1: Solve the expression using the BODMAS rule:

40 + 3 × (105 ÷ 7) − 51

a) 7
b) 17
c) 24
d) 34

Answer: d) 34

Explanation:

Example 2: A bread factory produces 3040 hot dog buns in a day. How many packets of hot dog buns will it produce in 30 days if each packet contains 8 hot dog buns?

a) 10200 packets
b) 10400 packets
c) 11200 packets
d) 11400 packets

Answer: d) 11400 packets

Explanation: Number of hot dog buns produced in a day = 3040
Number of hot dog buns produced in 30 days = 3040 × 30
Each packet contains 8 hot dog buns.

Number of packets of hot dog buns produced in 30 days
= (3040 × 30) ÷ 8 [Solve using BODMAS rule]
= 91200 ÷ 8
= 11400