Solve Sequential Division: 80:4:2:5 Step-by-Step

Sequential Division with Multiple Operations

80:4:2:5= 80:4:2:5=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:05 Let's solve this math expression together.
00:09 We'll work from left to right. Do one operation at a time. Ready? Let's continue.
00:21 Now, focus on the division steps.
00:29 Great job! Here, you can see the solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

80:4:2:5= 80:4:2:5=

2

Step-by-step solution

According to the rules of the order of operations we should first solve the exercise from left to right since it only contains a division operation:

80:4=20 80:4=20

20:2=10 20:2=10

10:5=2 10:5=2

3

Final Answer

2

Key Points to Remember

Essential concepts to master this topic
  • Order: Work from left to right with division operations
  • Technique: Calculate step by step: 80÷4=20, then 20÷2=10, then 10÷5=2
  • Check: Verify by working backwards: 2×5×2×4 = 80 ✓

Common Mistakes

Avoid these frequent errors
  • Trying to solve all divisions at once
    Don't calculate 80÷(4×2×5) = 80÷40 = 2 by combining denominators! This gives the right answer by accident but uses wrong method. Always work left to right, one division at a time.

Practice Quiz

Test your knowledge with interactive questions

\( 8 + 3 \times 2 = \)

FAQ

Everything you need to know about this question

Why can't I just divide 80 by all the numbers at once?

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The colon (:) means division, and we follow left-to-right order. Writing 80:4:2:5 80:4:2:5 means first divide 80 by 4, then divide that result by 2, then divide by 5.

What's the difference between 80÷4÷2÷5 and 80÷(4×2×5)?

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These are completely different operations! The first works left to right giving us 2, while the second divides by the product 40, which also gives 2 but uses incorrect reasoning for this notation.

How do I remember to work left to right?

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Think of it like reading a sentence - you read from left to right! Division operations have the same precedence, so we process them in order from left to right.

Can I check my answer without working backwards?

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Yes! You can also recalculate the entire problem step by step again, or use a calculator to verify each division: 80÷4, then ÷2, then ÷5.

What if I get confused with so many divisions?

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Write each step clearly:

  • Step 1: 80÷4=20 80 ÷ 4 = 20
  • Step 2: 20÷2=10 20 ÷ 2 = 10
  • Step 3: 10÷5=2 10 ÷ 5 = 2
Taking it one step at a time prevents errors!

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