Solve the Expression: (29-4):5 Using Order of Operations

Order of Operations with Parentheses Division

Solve the following equation:

(294):5= (29-4):5=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve the following expression
00:03 Always solve the parentheses first
00:08 Use the distribution law and split 25 into 20 plus 5
00:12 Make sure to divide each factor within the parentheses by the external factor
00:16 Solve each division and then sum up
00:21 This is the solution

Step-by-step written solution

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1

Understand the problem

Solve the following equation:

(294):5= (29-4):5=

2

Step-by-step solution

Let's simplify this expression while maintaining the order of operations.

Let's start by solving what's in the parentheses:

294=25 29-4=25

Now we get the expression:

25:5= 25:5=

In the next step, to make the division easier, we'll break down 25 into two smaller factors that are divisible by 5:

(20+5):5= (20+5):5=

Let's divide each factor in the parentheses by 5:

(20:5)+(5:5)= (20:5)+(5:5)=

We'll solve each expression in the parentheses and obtain:

4+1=5 4+1=5

3

Final Answer

5 5

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Always solve parentheses first, then division from left to right
  • Technique: Break down 25 ÷ 5 as (20 + 5) ÷ 5 = 4 + 1
  • Check: Substitute back: (29 - 4) ÷ 5 = 25 ÷ 5 = 5 ✓

Common Mistakes

Avoid these frequent errors
  • Solving division before parentheses
    Don't solve 4 ÷ 5 first then subtract from 29 = 28.2! This ignores order of operations and gives the wrong answer. Always solve what's inside parentheses completely before moving to division.

Practice Quiz

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\( 140-70= \)

FAQ

Everything you need to know about this question

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

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Mathematical expressions must follow the order of operations (PEMDAS). Parentheses always come first, no matter where they appear in the expression. This ensures everyone gets the same correct answer!

What does the colon (:) symbol mean in math?

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The colon (:) is another way to write division, just like the ÷ symbol. So 25:5 25:5 means the same as 25÷5 25 ÷ 5 .

Is breaking down 25 into 20 + 5 really necessary?

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Not always! Since 25÷5=5 25 ÷ 5 = 5 is straightforward, you can solve it directly. The breakdown method is helpful for harder divisions or when teaching the distributive property.

How do I remember the order of operations?

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Use the acronym PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Ssubtraction. Remember: "Please Excuse My Dear Aunt Sally!"

What if I got 3⅕ as my answer?

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You likely solved 29÷54 29 ÷ 5 - 4 instead of (294)÷5 (29 - 4) ÷ 5 . The parentheses change everything! Always solve what's inside parentheses first before doing any other operations.

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