Solve the Expression: 7×4+0÷10 Using Order of Operations

Q: Why don't I just work from left to right like reading?

Mathematics has a special order called PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction). This ensures everyone gets the same answer! Without it, $ 7 \times 4 + 0 \div 10 $ could have multiple interpretations.

Q: What happens when I divide 0 by any number?

Dividing zero by any non-zero number always equals zero. So $ 0 \div 10 = 0 $, $ 0 \div 5 = 0 $, etc. This is because you're asking 'how many times does 10 go into 0?' and the answer is zero times.

Q: Do multiplication and division have the same priority?

Yes! When you have both multiplication and division in an expression, work from left to right. In our problem, we do $ 7 \times 4 $ first only because it appears before the division.

Q: How can I remember the order of operations?

Use the acronym PEMDAS: Please Excuse My Dear Aunt Sally. Or remember: Parentheses, Exponents, Multiply/Divide (left to right), Add/Subtract (left to right).

Q: What if I got a different answer choice?

Double-check each step: $ 7 \times 4 = 28 $, $ 0 \div 10 = 0 $, then $ 28 + 0 = 28 $. The correct answer should be 28, but this doesn't match any given choices - there might be an error in the answer options!

Order of Operations with Zero Division

$7\times4+0:10=$

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Understand the problem

$7\times4+0:10=$

Step-by-step solution

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

Step 1: Perform the multiplication $7 \times 4$ .
Step 2: Perform the division $0 \div 10$ .
Step 3: Add the results from steps 1 and 2.

Now, let's work through each step:
Step 1: Multiply $7 \times 4$ , which equals $28$ .
Step 2: Divide $0 \div 10$ , which equals $0$ .
Step 3: Add $28 + 0$ , which equals $28$ .

Therefore, the correct evaluation of the expression $7 \times 4 + 0 \div 10$ is $28$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Multiplication and division have equal priority, work left to right
Technique: Calculate $7 \times 4 = 28$ first, then $0 \div 10 = 0$
Check: Final addition $28 + 0 = 28$ confirms our answer ✓

Common Mistakes

Avoid these frequent errors

Working left to right on everything without considering operation priority
Don't calculate $7 \times 4 + 0$ = 28 first, then divide by 10 = 2.8! This ignores order of operations and gives the wrong answer. Always complete multiplication and division before addition, following PEMDAS rules.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why don't I just work from left to right like reading?

Mathematics has a special order called PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction). This ensures everyone gets the same answer! Without it, $7 \times 4 + 0 \div 10$ could have multiple interpretations.

What happens when I divide 0 by any number?

Dividing zero by any non-zero number always equals zero. So $0 \div 10 = 0$ , $0 \div 5 = 0$ , etc. This is because you're asking 'how many times does 10 go into 0?' and the answer is zero times.

Do multiplication and division have the same priority?

Yes! When you have both multiplication and division in an expression, work from left to right. In our problem, we do $7 \times 4$ first only because it appears before the division.

How can I remember the order of operations?

Use the acronym PEMDAS: Please Excuse My Dear Aunt Sally. Or remember: Parentheses, Exponents, Multiply/Divide (left to right), Add/Subtract (left to right).

What if I got a different answer choice?

Double-check each step: $7 \times 4 = 28$ , $0 \div 10 = 0$ , then $28 + 0 = 28$ . The correct answer should be 28, but this doesn't match any given choices - there might be an error in the answer options!

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