Finding the Greatest Value: Maximum Value Comparison Problem

Order of Operations with Mixed Expressions

What is the greatest value?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve all exercises in order to determine the largest among them
00:07 Multiplication and division first - left to right
00:33 Multiplication before addition
00:48 Multiplication and division - left to right
00:57 Addition and subtraction - left to right

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

What is the greatest value?

2

Step-by-step solution

A:

9×7:3+3=(9×7:3)+3=(63:3)+3=21+3=24 9\times7:3+3=(9\times7:3)+3=(63:3)+3=21+3=24

B:

20+4×3=20+(4×3)=20+12=32 20+4\times3=20+(4\times3)=20+12=32

C:

15×4:6=60:6=10 15\times4:6=60:6=10

D:

12−3+20=9+20=29 12-3+20=9+20=29

3

Final Answer

20+4×3 20+4\times3

Key Points to Remember

Essential concepts to master this topic
  • Rule: Follow PEMDAS: multiplication and division before addition and subtraction
  • Technique: Calculate 4×3=12 4\times3=12 first, then 20+12=32 20+12=32
  • Check: Verify each expression step-by-step to find the largest result ✓

Common Mistakes

Avoid these frequent errors
  • Adding or subtracting before multiplying or dividing
    Don't calculate 20+4=24 first then multiply by 3 = 72! This ignores order of operations and gives wrong results. Always multiply 4×3=12 first, then add 20+12=32.

Practice Quiz

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\( 100+5-100+5 \)

FAQ

Everything you need to know about this question

What does the colon (:) symbol mean in these expressions?

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The colon (:) means division! So 9×7:3 9\times7:3 means 9×7÷3 9\times7\div3 . It's another way to write division, commonly used in some countries.

Why isn't A the biggest since it has 9×7?

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Even though 9×7=63 9\times7=63 seems large, you must continue the calculation! After dividing by 3 and adding 3, you get only 24, which is smaller than 32.

How do I remember the order of operations?

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Use PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right).

Should I calculate all expressions or stop when I find a big one?

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Calculate all of them! You might think one looks biggest, but after following order of operations, a different expression could be the actual maximum value.

What if two expressions give the same result?

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If multiple expressions equal the same value and that's the highest value, then any of those expressions would be correct answers. Always double-check your calculations!

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