Mathematical Expression Comparison: Identifying the Maximum Result

Order of Operations with Comparison Strategy

Choose the exercise for the highest result

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Let's solve the 4 exercises in order to determine the largest number
00:06 Multiplication precedes addition and subtraction
00:24 Here too, as well as in the following exercises, multiplication takes precedence over addition and subtraction

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Choose the exercise for the highest result

2

Step-by-step solution

Let's solve exercise A:

(4×3)+(5×12)=12+60=72 (4\times3)+(5\times12)=12+60=72

Let's solve exercise B:

(10×3)+(7×5)=30+35=65 (10\times3)+(7\times5)=30+35=65

Let's solve exercise C:

(7×7)+(7×3)=49+21=70 (7\times7)+(7\times3)=49+21=70

Let's solve exercise D:

(25×2)+(15×2)=50+30=80 (25\times2)+(15\times2)=50+30=80

3

Final Answer

25×2+12×2 25\times2+12\times2

Key Points to Remember

Essential concepts to master this topic
  • Rule: Always follow PEMDAS - multiply before adding to get correct results
  • Technique: Calculate each multiplication first: 25×2=50 25\times2 = 50 and 12×2=24 12\times2 = 24 , then add
  • Check: Compare all final answers to identify the maximum: 72, 65, 70, 74 ✓

Common Mistakes

Avoid these frequent errors
  • Adding before multiplying in each expression
    Don't solve 25×2+12×2 25\times2+12\times2 as 25×(2+12)×2=700 25\times(2+12)\times2 = 700 ! This ignores order of operations and gives completely wrong results. Always multiply first, then add: (25×2)+(12×2)=50+24=74 (25\times2)+(12\times2) = 50+24 = 74 .

Practice Quiz

Test your knowledge with interactive questions

\( 8 + 3 \times 2 = \)

FAQ

Everything you need to know about this question

Why can't I just add all the numbers together first?

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Because order of operations matters! Multiplication must be done before addition. If you add first, you'll get completely different (and wrong) results.

Do I need to solve all four expressions to find the maximum?

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Yes! You must calculate each expression completely before comparing. You can't tell which is largest just by looking at the numbers.

What if two expressions give the same result?

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That's possible! In that case, both expressions would be correct answers for "highest result." Always double-check your calculations to be sure.

Can I use a calculator for these problems?

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Check with your teacher first! Even if calculators are allowed, make sure you understand the order of operations so you enter the expressions correctly.

How do I avoid making calculation errors?

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Work step by step and write down each multiplication result before adding. For example: 7×7+7×3=49+21=70 7\times7+7\times3 = 49+21 = 70

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