Solve the Division Problem: Calculate 93÷3

Q: Why break 93 into 90+3 instead of other combinations?

Breaking into 90+3 makes division easier because 90 is divisible by 3! You could use other splits like 60+33, but they create harder calculations. Always choose splits where both parts divide evenly.

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

Yes! The distributive property works for all division problems: $ (a+b)÷c = a÷c + b÷c $. It's especially helpful when the dividend is large or when you want to avoid long division.

Q: What if I can't split the number evenly?

Try different combinations! For 93÷3, you could also use 60+33 (since both are divisible by 3) or even 30+30+30+3. The key is finding parts that divide evenly by 3.

Q: Is this faster than regular long division?

For simple problems like 93÷3, yes! Mental math with distributive property is often quicker. For more complex divisions, long division might be better. Use whichever method feels more comfortable!

Q: How do I check if my answer is correct?

Multiply your answer by the divisor: $ 31 × 3 = 93 $. If you get the original number back, your division is correct! This works for any division problem.

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 93 into 3 plus 90

00:10 Divide each factor in parentheses by the outer factor, then sum

00:13 Calculate each division separately and then sum

00:16 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 following division:

$93:3=$

2

Step-by-step solution

Apply the distributive property of division and proceed to split the number 93 into the sum of 90 and 3. This ultimately simplifies the division operation allowing 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

$(90+3):3=$

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

$(90:3)+(3:3)=$

Continue to solve the problem according to the order of operations

$30+1=31$

Therefore the answer is option C - 31.

Shown below are the various steps of our solution:

$93:3=(90+3):3=90:3+3:3=30+1=31$

3

Final Answer

$31$

Key Points to Remember

Essential concepts to master this topic

Distributive Rule: Break dividend into parts: (90+3)÷3 = 90÷3 + 3÷3
Technique: Split 93 = 90+3, then calculate: 30+1 = 31
Check: Multiply answer by divisor: 31×3 = 93 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to add the results after splitting
Don't calculate 90÷3 = 30 and 3÷3 = 1 but forget to add them = incomplete answer! Students often stop after finding the parts separately. Always add the results: 30+1 = 31 to get the final answer.

Practice Quiz

Test your knowledge with interactive questions

$12:(2\times2)=$

FAQ

Everything you need to know about this question

Why break 93 into 90+3 instead of other combinations?

+

Breaking into 90+3 makes division easier because 90 is divisible by 3! You could use other splits like 60+33, but they create harder calculations. Always choose splits where both parts divide evenly.

Can I use the distributive property for any division problem?

+

Yes! The distributive property works for all division problems: $(a+b)÷c = a÷c + b÷c$ . It's especially helpful when the dividend is large or when you want to avoid long division.

What if I can't split the number evenly?

+

Try different combinations! For 93÷3, you could also use 60+33 (since both are divisible by 3) or even 30+30+30+3. The key is finding parts that divide evenly by 3.

Is this faster than regular long division?

+

For simple problems like 93÷3, yes! Mental math with distributive property is often quicker. For more complex divisions, long division might be better. Use whichever method feels more comfortable!

How do I check if my answer is correct?

+

Multiply your answer by the divisor: $31 × 3 = 93$ . If you get the original number back, your division is correct! This works for any division problem.

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Solve the Division Problem: Calculate 93÷3

Division with Distributive Property

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