Solve the Ratio Expression: 8:1 + 2 Step-by-Step

Division Operations with Addition Sequence

8:1+2= 8:1+2=

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Step-by-step video solution

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00:00 Solve
00:03 Always solve multiplication and division before addition and subtraction
00:07 Now let's continue solving
00:10 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

8:1+2= 8:1+2=

2

Step-by-step solution

According to the order of operations in arithmetic we should begin by placing the division operation inside of parentheses:

(8:1)+2= (8:1)+2=

Let's now proceed to solve the said problem:

8:1=8 8:1=8

We should obtain the following expression:

8+2=10 8+2=10

3

Final Answer

10

Key Points to Remember

Essential concepts to master this topic
  • Order of Operations: Division comes before addition in PEMDAS
  • Technique: Calculate 8:1=8 8:1 = 8 first, then add 2
  • Check: Verify sequence: division gives 8, then 8 + 2 = 10 ✓

Common Mistakes

Avoid these frequent errors
  • Adding before dividing
    Don't calculate 1 + 2 = 3 first, then 8:3 = 2.667! This ignores order of operations and gives the wrong answer. Always follow PEMDAS: division before addition.

Practice Quiz

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\( 100+5-100+5 \)

FAQ

Everything you need to know about this question

Why can't I just work from left to right?

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Mathematical operations have a specific order called PEMDAS. Even though addition appears after division when reading left to right, division has higher priority and must be done first.

What does the colon symbol mean in math?

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The colon (:) symbol means division, just like ÷. So 8:1 8:1 is the same as 8÷1 8 ÷ 1 or 81 \frac{8}{1} .

Is 8 divided by 1 really just 8?

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Yes! Dividing any number by 1 gives you the same number. Think of it as: "How many groups of 1 can you make from 8?" The answer is 8 groups.

What if I got 2.667 as my answer?

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You likely calculated 8÷3 8 ÷ 3 instead of 8÷1 8 ÷ 1 . This happens when you add first (1 + 2 = 3) instead of following order of operations. Remember: division before addition!

How can I remember PEMDAS?

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Try the phrase "Please Excuse My Dear Aunt Sally":

  • Parentheses
  • Exponents
  • Multiplication and Division (left to right)
  • Addition and Subtraction (left to right)

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