Solve Division Equation: Calculate 93÷3

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

We choose parts that divide evenly by 3! Since 90÷3=30 and 3÷3=1, both give whole numbers. Other splits like 80+13 would make 13÷3 much harder.

Q: What if I forget the distributive property formula?

Think of it as sharing equally! If you have 93 items to share among 3 people, you can share 90 first (30 each), then share the remaining 3 (1 each). Total: 30+1=31 each.

Q: How do I know which numbers to split into?

Look for multiples of your divisor! When dividing by 3, try to include multiples like 90, 60, 30, etc. Also, use place value - split into tens and ones when helpful.

Q: Can I use this method for any division problem?

Yes! The distributive property works for all division problems. It's especially helpful when you don't have a calculator and need to divide larger numbers.

Q: What if my split doesn't work out evenly?

Try different combinations! For 93÷3, you could also use $ (60+33)÷3 = 20+11 = 31 $. Pick the split that makes the easiest calculations.

Q: How do I check if 31 is really correct?

Use multiplication to verify: $ 31 × 3 = 93 $. If you get back to your original number, your division is correct!

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 Let's solve this problem step by step.

00:08 We'll use the distributive law to make it easier.

00:13 First, break down ninety-three into ninety, plus three.

00:18 Now, divide each part separately.

00:30 Solve each division, then add them together.

00:36 And that's how we find our solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

Solve the following exercise

?=93:3

2

Step-by-step solution

We will use the distributive property of division and split the number 93 into a sum of 90 and 3. This ultimately renders the division operation easier and allows us to solve the exercise without a calculator.

Note - it's best to choose to split the number based on knowledge of multiples. In this case, we use 3 because we need to divide by 3. Additionally splitting by tens and ones is suitable and makes the division operation easier.

Reminder - The distributive property of division essentially 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

We will use the formula of the distributive property

$(a+b):c=a:c+b:c$

$93:3=(90+3):3$

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

$90:3+3:3=30+1$

$30+1=31$

Therefore, the answer is option B - 31.

3

Final Answer

31

Key Points to Remember

Essential concepts to master this topic

Distributive Property: Split dividend into easier parts: (a+b)÷c = a÷c + b÷c
Strategic Splitting: Break 93 into 90+3 since both divide evenly by 3
Verification: Check by multiplication: 31 × 3 = 93 confirms our answer ✓

Common Mistakes

Avoid these frequent errors

Trying to divide 93÷3 without breaking it down
Don't attempt 93÷3 as one difficult calculation = confusion and errors! This makes the problem unnecessarily hard and leads to mistakes. Always break the dividend into parts that divide evenly by the divisor.

Practice Quiz

Test your knowledge with interactive questions

$$ 100-(30-21)= $$

FAQ

Everything you need to know about this question

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

+

We choose parts that divide evenly by 3! Since 90÷3=30 and 3÷3=1, both give whole numbers. Other splits like 80+13 would make 13÷3 much harder.

What if I forget the distributive property formula?

+

Think of it as sharing equally! If you have 93 items to share among 3 people, you can share 90 first (30 each), then share the remaining 3 (1 each). Total: 30+1=31 each.

How do I know which numbers to split into?

+

Look for multiples of your divisor! When dividing by 3, try to include multiples like 90, 60, 30, etc. Also, use place value - split into tens and ones when helpful.

Can I use this method for any division problem?

+

Yes! The distributive property works for all division problems. It's especially helpful when you don't have a calculator and need to divide larger numbers.

What if my split doesn't work out evenly?

+

Try different combinations! For 93÷3, you could also use $(60+33)÷3 = 20+11 = 31$ . Pick the split that makes the easiest calculations.

How do I check if 31 is really correct?

+

Use multiplication to verify: $31 × 3 = 93$ . If you get back to your original number, your division is correct!

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Solve Division Equation: Calculate 93÷3

Division with Distributive Property

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