Computation Operations for Class 5

Table of Content

  • Computation Operations
  • Rules of BODMAS
  • Computation Operations

    Computation operations will help you find solutions to a variety of numerical problems. Computation is the process of determining and calculating something using logical and mathematical processes. We apply the BODMAS concept in this chapter.

    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:

    cmo-computation-c5-1

    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:

    cmo-computation-c5-2

    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?

    cmo-computation-c5-3

    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

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