Solve the Division Problem: 88:4 Step by Step

Q: Why break 88 into 80 + 8 instead of other combinations?

Choose combinations that are easy to divide! Since 80÷4=20 and 8÷4=2 are simple mental math, this breakdown makes the problem much easier than trying other splits.

Q: Can I use the distributive property with any division problem?

Yes! The distributive property works for any division where you can break the dividend into smaller, easier-to-divide parts. Look for multiples of your divisor!

Q: How do I know which parts to split the number into?

Look for friendly numbers that divide evenly by 4. Since 80 and 8 both divide evenly by 4, they make perfect choices for splitting 88.

Q: Is 22 really the only correct answer?

Yes! Division has exactly one answer. You can verify: $ 22 \times 4 = 88 $, which confirms our answer is correct.

Division with Distributive Property

Solve the following division exercise:

$88:4=$

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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

00:07 Let's break down 88 into 80 plus 8

00:10 Let's divide each factor in parentheses by the outer factor, then add

00:13 Let's calculate each division separately and then add

00:16 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the following division exercise:

$88:4=$

Step-by-step solution

Apply the distributive property of division and proceed to split the number 88 into the sum of 80 and 8. Simplifying he division operation allows us to solve the exercise without a calculator

Reminder - The distributive property of division actually allows us to split the larger term in the division problem into a sum or difference of smaller numbers, which makes the division operation easier and allows us to solve the exercise without a calculator

$(80+8):4=$

Apply the formula of the distributive property $(a+b):c=a:c+b:c$

$(80:4)+(8:4)=$

Continue to solve the problem according to the order of operations

$20+2=22$

Therefore the answer is option C - 22.

Shown below are the various steps of our solution:

$88:4=(80+8):4=80:4+80:4=20+2=22$

Final Answer

$22$

Key Points to Remember

Essential concepts to master this topic

Distributive Property: Split dividend into sum: $(a+b):c = a:c + b:c$
Breaking Down: Convert 88 to 80+8 for easier division
Check: Verify $22 \times 4 = 88$ ✓

Common Mistakes

Avoid these frequent errors

Forgetting to apply distributive property to both parts
Don't split 88 into 80+8 but then only divide one part by 4 = incomplete calculation! This gives wrong partial answers. Always divide each part of the sum by the divisor and then add the results.

Practice Quiz

Test your knowledge with interactive questions

$$ 140-70= $$

FAQ

Everything you need to know about this question

Why break 88 into 80 + 8 instead of other combinations?

Choose combinations that are easy to divide! Since 80÷4=20 and 8÷4=2 are simple mental math, this breakdown makes the problem much easier than trying other splits.

Can I use the distributive property with any division problem?

Yes! The distributive property works for any division where you can break the dividend into smaller, easier-to-divide parts. Look for multiples of your divisor!

What if I just do 88÷4 directly without breaking it down?

That's fine too! Breaking down with distributive property is a strategy to make division easier, especially when you don't have a calculator.

How do I know which parts to split the number into?

Look for friendly numbers that divide evenly by 4. Since 80 and 8 both divide evenly by 4, they make perfect choices for splitting 88.

Is 22 really the only correct answer?

Yes! Division has exactly one answer. You can verify: $22 \times 4 = 88$ , which confirms our answer is correct.

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