Solve Division with Grouped Terms: 18÷(6×3)

Q: Why can't I just go left to right like reading?

Math has a special order called PEMDAS that ensures everyone gets the same answer! Parentheses come first, then multiplication/division. Going left to right would give different answers for the same problem.

Q: What if there were no parentheses in this problem?

Without parentheses, $ 18 \div 6 \times 3 $ would equal 9 because we'd go left to right with equal operations: $ 18 \div 6 = 3 $, then $ 3 \times 3 = 9 $.

Q: How do I remember to do parentheses first?

Think of parentheses as "math containers" - you must empty the container before you can use what's inside! Or remember PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.

Q: Are brackets [ ] the same as parentheses ( )?

Yes! Brackets [ ], parentheses ( ), and braces { } all mean "do this first." They're just different symbols for grouping operations together.

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Multiplication is also division by the reciprocal

00:07 Therefore when opening the parentheses, it will end up as divided by C

00:11 We will use this formula in our exercise

00:17 We will solve according to the order of operations from left to right

00:20 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

$18:(6\times3)=$

2

Step-by-step solution

To solve the expression $18 \div (6 \times 3)$ , we need to follow the order of operations, which specifies that multiplication should be performed before division. Therefore, we proceed as follows:

Step 1: Calculate the operation inside the parentheses: $(6 \times 3)$ .
We multiply $6$ by $3$ to get $18$ .
Step 2: Replace the multiplication expression in the original division: $18 \div 18$ .
Step 3: Perform the division: $18 \div 18 = 1$ .

Thus, the result of the expression $18 \div (6 \times 3)$ is $\mathbf{1}$ .

3

Final Answer

1

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Always solve operations inside parentheses first
Technique: Calculate $6 \times 3 = 18$ before dividing by 18
Check: Verify $18 \div 18 = 1$ makes sense ✓

Common Mistakes

Avoid these frequent errors

Ignoring parentheses and calculating left to right
Don't calculate 18 ÷ 6 = 3, then 3 × 3 = 9! This ignores the parentheses and gives the wrong answer. Parentheses change everything by grouping operations. Always solve what's inside parentheses first, then proceed with the remaining operations.

Practice Quiz

Test your knowledge with interactive questions

$$ 100-(5+55)= $$

FAQ

Everything you need to know about this question

Why can't I just go left to right like reading?

+

Math has a special order called PEMDAS that ensures everyone gets the same answer! Parentheses come first, then multiplication/division. Going left to right would give different answers for the same problem.

What if there were no parentheses in this problem?

+

Without parentheses, $18 \div 6 \times 3$ would equal 9 because we'd go left to right with equal operations: $18 \div 6 = 3$ , then $3 \times 3 = 9$ .

How do I remember to do parentheses first?

+

Think of parentheses as "math containers" - you must empty the container before you can use what's inside! Or remember PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.

What if I get a different answer?

+

Double-check your steps! Most mistakes happen when students ignore parentheses or do operations in the wrong order. Always solve parentheses first, then work outward.

Are brackets [ ] the same as parentheses ( )?

+

Yes! Brackets [ ], parentheses ( ), and braces { } all mean "do this first." They're just different symbols for grouping operations together.

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Solve Division with Grouped Terms: 18÷(6×3)

Order of Operations with Parenthetical Expressions

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