Solve the Division Problem: 84:4 Basic Arithmetic Exercise

Division Facts with Two-Digit Numbers

Solve the exercise:

84:4=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Let's use the distributive law
00:09 Break down 80 into 40, 40, and 4
00:22 Divide each factor in turn
00:41 Solve each division and then sum
00:56 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

Solve the exercise:

84:4=

2

Step-by-step solution

There are several ways to solve the following exercise,

We will present two of them.

In both ways, we begin by decomposing the number 84 into smaller units; 80 and 4.

44=1 \frac{4}{4}=1

Subsequently we are left with only the 80.

Continuing on with the first method, we will then further decompose 80 into smaller units; 10×8 10\times8

We know that:84=2 \frac{8}{4}=2

And therefore, we are able to reduce the exercise as follows: 104×8 \frac{10}{4}\times8

Eventually we are left with2×10 2\times10

which is equal to 20

In the second method, we decompose 80 into the following smaller units:40+40 40+40

We know that: 404=10 \frac{40}{4}=10

And therefore: 40+404=804=20=10+10 \frac{40+40}{4}=\frac{80}{4}=20=10+10

which is also equal to 20

Now, let's remember the 1 from the first step and add it in to our above answer:

20+1=21 20+1=21

Thus we are left with the following solution:844=21 \frac{84}{4}=21

3

Final Answer

21

Key Points to Remember

Essential concepts to master this topic
  • Rule: Break larger numbers into smaller, manageable parts for division
  • Technique: Decompose 84 into 80 + 4, then divide each part separately
  • Check: Multiply your answer back: 21 × 4 = 84 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to add back all decomposed parts
    Don't calculate 804=20 \frac{80}{4} = 20 and stop there = getting 20 instead of 21! This misses the remaining 44=1 \frac{4}{4} = 1 part. Always add all your partial results together: 20 + 1 = 21.

Practice Quiz

Test your knowledge with interactive questions

\( 140-70= \)

FAQ

Everything you need to know about this question

Why do I need to break 84 into smaller parts?

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Breaking 84 into 80 + 4 makes division much easier! It's harder to see that 84 ÷ 4 = 21 directly, but easy to see that 80 ÷ 4 = 20 and 4 ÷ 4 = 1.

Can I break 84 into different parts?

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Absolutely! You could use 40 + 40 + 4 or even 60 + 24. As long as your parts add up to 84 and are easy to divide by 4, any breakdown works!

How do I know if 21 is really the right answer?

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Use the inverse operation! Since division and multiplication are opposites, check that 21 × 4 = 84. If it equals your original number, you're correct!

What if I can't remember my division facts?

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No problem! Use repeated subtraction or think of it as "how many groups of 4 can I make from 84?" You can also use the decomposition method shown here.

Is there a faster way to do 84 ÷ 4?

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With practice, you'll recognize patterns! Since 8 ÷ 4 = 2, you can think: 84 has 8 tens and 4 ones, so 84 ÷ 4 = 20 + 1 = 21.

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