Solve 5×10-2×25: Order of Operations Practice

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

Mathematics has special rules called order of operations (PEMDAS) that tell us which calculations to do first. Multiplication must be done before subtraction, even if it appears later in the expression.

Q: How do I remember to do multiplication first?

Think of PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction. You can also imagine putting invisible parentheses around each multiplication: $ (5\times10)-(2\times25) $.

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

Write out each step clearly! First, identify all multiplication and division operations and solve them. Then handle any addition and subtraction from left to right.

Q: How can I double-check my work?

Recalculate each multiplication separately: $ 5\times10=50 $ and $ 2\times25=50 $. Then subtract: $ 50-50=0 $. You can also use a calculator to verify!

Order of Operations with Equal Products

$5\times10-2\times25=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:07 Let's solve a math problem together!

00:10 Remember to do multiplication and division first, before doing addition and subtraction.

00:16 And that's how we find the answer! Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$5\times10-2\times25=$

Step-by-step solution

According to the order of operations, we first place the multiplication exercises in parentheses:

$(5\times10)-(2\times25)=$

We solve the multiplication exercise in parentheses:

$5\times10=50$

$2\times25=50$

Now we obtain the exercise:

$50-50=0$

Final Answer

$0$

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Multiplication comes before subtraction in order of operations
Technique: Calculate $5\times10=50$ and $2\times25=50$ first
Check: Verify that $50-50=0$ makes sense with your answer ✓

Common Mistakes

Avoid these frequent errors

Working left to right without following order of operations
Don't solve 5×10-2×25 by going 50-2=48, then 48×25=1200! This ignores the multiplication rule and gives a completely wrong answer. Always do all multiplications first, then subtract: (5×10)-(2×25) = 50-50 = 0.

Practice Quiz

Test your knowledge with interactive questions

$74+32+6+4+4=\text{?}$

FAQ

Everything you need to know about this question

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

Mathematics has special rules called order of operations (PEMDAS) that tell us which calculations to do first. Multiplication must be done before subtraction, even if it appears later in the expression.

How do I remember to do multiplication first?

Think of PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction. You can also imagine putting invisible parentheses around each multiplication: $(5\times10)-(2\times25)$ .

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

Write out each step clearly! First, identify all multiplication and division operations and solve them. Then handle any addition and subtraction from left to right.

Is it weird that both multiplications equal 50?

Not at all! It's actually a nice coincidence that makes the final subtraction easy. When you have $50-50$ , the answer is clearly 0.

How can I double-check my work?

Recalculate each multiplication separately: $5\times10=50$ and $2\times25=50$ . Then subtract: $50-50=0$ . You can also use a calculator to verify!

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