Solve Mixed Operations: 100:2-10:2+3×4-6-5×2 Using PEMDAS

Question

100:210:2+3×465×2= 100:2-10:2+3\times4-6-5\times2=

Video Solution

Solution Steps

00:00 Solve
00:04 Always solve multiplication and division before addition subtraction
00:08 Each time we'll solve one operation and then continue
00:22 Now let's move to the next division
00:34 Now let's calculate the multiplication
00:47 Let's move to the next multiplication
01:00 Now let's continue solving according to proper order of operations
01:03 From left to right, one operation at a time and then continue
01:20 And this is the solution to the question

Step-by-Step Solution

According to the order of operations rules, we first enter the multiplication and division operations into parentheses:

(100:2)(10:2)+(3×4)6(5×2)= (100:2)-(10:2)+(3\times4)-6-(5\times2)=

Now let's solve the operations within the parentheses:

100:2=50 100:2=50

10:2=5 10:2=5

3×4=12 3\times4=12

5×2=10 5\times2=10

Now we get the expression:

505+12610= 50-5+12-6-10=

Let's solve the expression from left to right:

505=45 50-5=45

45+12=57 45+12=57

576=51 57-6=51

5110=41 51-10=41

Answer

41