Solve the Expression: 10:(5×1/2) Using Order of Operations

Question

10:(5×12)= 10:(5\times\frac{1}{2})=

Video Solution

Solution Steps

00:00 Solve
00:03 Division is also multiplication by the reciprocal
00:07 Therefore when opening the parentheses, it will end up as divided by C
00:11 We will use this formula in our exercise
00:14 We will solve according to the order of operations from left to right
00:21 Division is also multiplication by the reciprocal
00:27 And this is the solution to the question

Step-by-Step Solution

To solve the problem 10÷(5×12) 10 \div (5 \times \frac{1}{2}) , we'll follow these steps:

  • Step 1: Evaluate the expression inside the parentheses. Multiply 5 5 by 12 \frac{1}{2} .
  • Step 2: Use the result from Step 1 for division with 10 10 .

Now, let's work through each step:

Step 1: Calculate the multiplication inside the parentheses:
5×12=52=2.5 5 \times \frac{1}{2} = \frac{5}{2} = 2.5 .

Step 2: Divide 10 10 by the result from Step 1:
10÷2.5=4 10 \div 2.5 = 4 .

Hence, the solution to the given expression is 4 4 .

Answer

4