Solve 4² ÷ 2 + 5²: Order of Operations Practice

Question

Solve the following exercise:

42:2+52= 4^2:2+5^2=

Video Solution

Solution Steps

00:00 Solve
00:05 Let's break down the exponents
00:17 Always solve multiplication and division before addition and subtraction
00:38 And this is the solution to the question

Step-by-Step Solution

To solve the expression 42:2+52 4^2:2+5^2 , we need to follow the order of operations, which is often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). This guide will help us apply the correct sequence to solve the problem.


  • Step 1: Exponents
    First, we solve the exponents in the expression. In this case, we have 42 4^2 and 52 5^2 .
    Calculate each:
    42=4×4=16 4^2 = 4 \times 4 = 16
    52=5×5=25 5^2 = 5 \times 5 = 25

  • Step 2: Division
    Next, we perform the division operation. In the expression 16:2 16 : 2 , divide 16 by 2:
    16:2=8 16 : 2 = 8

  • Step 3: Addition
    Finally, we add the results from the previous steps together:
    8+25=33 8 + 25 = 33


Thus, the value of the expression 42:2+52 4^2:2+5^2 is 33 33 .

Answer

33