Solve the Expression: 3+10-2:4+1 Using Order of Operations

Question

3+102:4+1= 3+10-2:4+1=

Video Solution

Solution Steps

00:08 Remember, multiplication and division come first, before addition and subtraction.
00:21 Now, we only have addition and subtraction left to solve.
00:25 Since addition and subtraction are equal in the order of operations, we solve them from left to right.
00:31 Let's break down the denominator of the fraction into multiplication.
00:40 Now, let's reduce the fraction.
00:45 Keep solving the addition and subtraction, moving from left to right.
00:53 And that's the solution! Great job!

Step-by-Step Solution

According to the order of arithmetic operations, multiplication and division precede addition and subtraction,

Therefore, let's start first with the division operation:

3+10(2:4)+1=3+1012+1 3+10-(2:4)+1=3+10-\frac{1}{2}+1

Now, as all remaining operations are at the same level (addition and subtraction),

let's start solving from left to right:

3+1012+1=1312+1 3+10-\frac{1}{2}+1=13-\frac{1}{2}+1

1312+1=1212+1=1312 13-\frac{1}{2}+1=12\frac{1}{2}+1=13\frac{1}{2}

Answer

1312 13\frac{1}{2}