Solve Division Problem: 70÷(14×5) Using Order of Operations

Q: Why can't I just work from left to right?

The order of operations (PEMDAS) is a mathematical rule that everyone follows. Parentheses always come first, no matter where they appear in the problem!

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

Without parentheses, you'd calculate $ 70 \div 14 \times 5 $ from left to right: 5 × 5 = 25. The parentheses completely change the answer!

Q: How do I remember the order of operations?

Use the acronym PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Some people remember "Please Excuse My Dear Aunt Sally."

Q: Can division and multiplication be done in any order?

Only when there are no parentheses! Multiplication and division have equal priority and are calculated from left to right. But parentheses always come first.

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 Let's solve this problem together.

00:08 Remember, multiplying is like dividing by the reciprocal.

00:12 So, when we open the parentheses, it's like dividing by C.

00:17 We'll apply this rule in our exercise now.

00:22 We'll follow the order of operations from left to right.

00:26 And there you have it, that's how we solve this question!

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

$70:(14\times5)=$

2

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Calculate the product of $14$ and $5$ .
Step 2: Use this product to divide $70$ .
Step 3: Compare the calculated result with the given choices.

Now, let's work through each step:
Step 1: First, calculate the product of $14$ and $5$ . Using basic multiplication:
$14 \times 5 = 70$ Step 2: Divide $70$ by the product, which is also $70$ :
$70 \div 70 = 1$

Therefore, the solution to the problem is $1$ . This matches choice 1 from the provided options.

3

Final Answer

1

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Always calculate what's inside parentheses first
Technique: Calculate $14 \times 5 = 70$ before dividing
Check: Verify $70 \div 70 = 1$ by substituting back ✓

Common Mistakes

Avoid these frequent errors

Dividing 70 by 14 first, then multiplying by 5
Don't calculate 70 ÷ 14 = 5, then 5 × 5 = 25! This ignores parentheses and gives the wrong answer. Always calculate inside parentheses first: (14 × 5) = 70, then 70 ÷ 70 = 1.

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 work from left to right?

+

The order of operations (PEMDAS) is a mathematical rule that everyone follows. Parentheses always come first, no matter where they appear in the problem!

What if there were no parentheses in this problem?

+

Without parentheses, you'd calculate $70 \div 14 \times 5$ from left to right: 5 × 5 = 25. The parentheses completely change the answer!

How do I remember the order of operations?

+

Use the acronym PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Some people remember "Please Excuse My Dear Aunt Sally."

What if I get a different answer than the choices given?

+

Double-check your work! Make sure you followed PEMDAS correctly. In this problem, $14 \times 5 = 70$ , then $70 \div 70 = 1$ .

Can division and multiplication be done in any order?

+

Only when there are no parentheses! Multiplication and division have equal priority and are calculated from left to right. But parentheses always come first.

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Solve Division Problem: 70÷(14×5) Using Order of Operations

Order of Operations with Parentheses First

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