Solve the Mixed Operation Expression: 5 - 2 × (1/2) + 1

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

Mathematics has a specific order of operations (PEMDAS) that everyone follows. Multiplication and division must be done before addition and subtraction, regardless of position in the expression.

Q: How do I multiply a whole number by a fraction?

Convert the whole number to a fraction: $ 2\times\frac{1}{2} = \frac{2}{1}\times\frac{1}{2} = \frac{2}{2} = 1 $. Or think: 2 groups of half equals 1 whole!

Q: What if I get confused about which operation to do first?

Use PEMDAS as your guide: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Circle the operations you need to do first!

Q: Should I simplify fractions during or after calculations?

Simplify as you go when possible! $ \frac{2}{2} = 1 $ is much easier to work with than keeping it as a fraction through the rest of the problem.

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

Substitute your answer back and verify: Does $ 5-2\times\frac{1}{2}+1 $ really equal 5? Follow PEMDAS again: $ 5-1+1 = 5 $ ✓

Order of Operations with Mixed Numbers

$5-2\times\frac{1}{2}+1=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:06 Let's solve the expression together.

00:09 Remember, follow the right order of operations.

00:13 Always do multiplication and division before addition and subtraction.

00:18 Simplify each part wherever you can.

00:26 Keep solving from left to right.

00:31 Great job! That's the solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$5-2\times\frac{1}{2}+1=$

Step-by-step solution

In the first stage of the exercise, you need to calculate the multiplication.

$2\times\frac{1}{2}=\frac{2}{1}\times\frac{1}{2}=\frac{2}{2}=1$

From here you can continue with the rest of the addition and subtraction operations, from right to left.

$5-1+1=5$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Follow PEMDAS - multiplication before addition and subtraction
Technique: Calculate $2\times\frac{1}{2}=1$ first, then $5-1+1$
Check: Work left to right after multiplication: 5-1+1 = 4+1 = 5 ✓

Common Mistakes

Avoid these frequent errors

Calculating operations from left to right without following order
Don't calculate 5-2=3, then 3×1/2=1.5, then 1.5+1=2.5! This ignores multiplication priority and gives the wrong answer. Always do multiplication first, then work left to right for addition and subtraction.

Practice Quiz

Test your knowledge with interactive questions

$$ 100+5-100+5 $$

FAQ

Everything you need to know about this question

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

Mathematics has a specific order of operations (PEMDAS) that everyone follows. Multiplication and division must be done before addition and subtraction, regardless of position in the expression.

How do I multiply a whole number by a fraction?

Convert the whole number to a fraction: $2\times\frac{1}{2} = \frac{2}{1}\times\frac{1}{2} = \frac{2}{2} = 1$ . Or think: 2 groups of half equals 1 whole!

What if I get confused about which operation to do first?

Use PEMDAS as your guide: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Circle the operations you need to do first!

Should I simplify fractions during or after calculations?

Simplify as you go when possible! $\frac{2}{2} = 1$ is much easier to work with than keeping it as a fraction through the rest of the problem.

How do I check if my final answer is correct?

Substitute your answer back and verify: Does $5-2\times\frac{1}{2}+1$ really equal 5? Follow PEMDAS again: $5-1+1 = 5$ ✓

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Solve the Mixed Operation Expression: 5 - 2 × (1/2) + 1

Order of Operations with Mixed Numbers

❤️ Continue Your Math Journey!

Step-by-step video solution

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Key Points to Remember

Common Mistakes

Practice Quiz

FAQ

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

How do I multiply a whole number by a fraction?

What if I get confused about which operation to do first?

Should I simplify fractions during or after calculations?

How do I check if my final answer is correct?

🌟 Unlock Your Math Potential

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