Solve the Expression: 45 × 7 - 25 - 50 Using Order of Operations

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

Math has special rules called Order of Operations (PEMDAS)! Multiplication and division always come before addition and subtraction, even if they appear later in the expression.

Q: Do I subtract 25 and 50 at the same time?

No! After multiplication, work the subtractions from left to right: first $ 315 - 25 = 290 $, then $ 290 - 50 = 240 $.

Q: How do I remember to do multiplication first?

Look for the highest priority operation first! In this problem, multiplication (×) has higher priority than subtraction (-), so do $ 45 \times 7 $ before any subtracting.

Q: What if I got 245 as my answer?

You likely calculated $ 45 \times 7 - 25 = 315 - 25 = 290 $ but forgot the final subtraction! Don't forget: $ 290 - 50 = 240 $.

Order of Operations with Mixed Calculations

$45 \times 7 - 25 - 50 =$

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Understand the problem

$45 \times 7 - 25 - 50 =$

Step-by-step solution

First, perform the multiplication: $45 \times 7 = 315$

Next, perform the subtraction: $315 - 25 = 290$

Finally, subtract 50: $290 - 50 = 240$

Final Answer

$240$

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Multiplication comes before subtraction in order of operations
Technique: Calculate $45 \times 7 = 315$ first, then subtract left to right
Check: Verify: $315 - 25 - 50 = 290 - 50 = 240$ ✓

Common Mistakes

Avoid these frequent errors

Working left to right without following PEMDAS
Don't calculate 45 - 25 first = wrong answer of 140! This ignores the multiplication priority in order of operations. Always multiply 45 × 7 = 315 first, then subtract from left to right.

Practice Quiz

Test your knowledge with interactive questions

$3 + 4 \times 2 =$

FAQ

Everything you need to know about this question

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

Math has special rules called Order of Operations (PEMDAS)! Multiplication and division always come before addition and subtraction, even if they appear later in the expression.

What does PEMDAS stand for again?

Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). Remember: "Please Excuse My Dear Aunt Sally"

Do I subtract 25 and 50 at the same time?

No! After multiplication, work the subtractions from left to right: first $315 - 25 = 290$ , then $290 - 50 = 240$ .

How do I remember to do multiplication first?

Look for the highest priority operation first! In this problem, multiplication (×) has higher priority than subtraction (-), so do $45 \times 7$ before any subtracting.

What if I got 245 as my answer?

You likely calculated $45 \times 7 - 25 = 315 - 25 = 290$ but forgot the final subtraction! Don't forget: $290 - 50 = 240$ .

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