Solve the Expression: Finding the Equivalent Value of 14-6

Expression Equivalence with Multiple Subtractions

Which expression is equivalent to the given equation?

14−6= 14-6=

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Which expression is equivalent to the given equation?

14−6= 14-6=

2

Step-by-step solution

To solve the given problem, we must find which expression is equivalent to 14−6 14 - 6 .

  • Step 1: Perform the subtraction 14−6 14 - 6 .

  • Step 2: Calculate the result: 14−6=8 \begin{aligned} 14 - 6 &= 8 \end{aligned}

  • Step 3: Examine the answer choices to find an expression that is equivalent to 8 8 .

  • Step 4: Evaluate each choice:

    • Choice 1: 14−4−2 14 - 4 - 2

    • −- Break it down: 14−4=1010−2=8 \begin{aligned} 14 - 4 &= 10 \\ 10 - 2 &= 8 \end{aligned} This calculation results in 8 8 , which matches 14−6 14 - 6 .

    • Choices 2, 3, 4 do not yield 8, as calculated similarly.

Therefore, the expression 14−4−2 14 - 4 - 2 is equivalent to the given equation 14−6 14 - 6 .

3

Final Answer

14−4−2 14-4-2

Key Points to Remember

Essential concepts to master this topic
  • Rule: Equivalent expressions must have the same final value
  • Technique: Calculate 14−6=8 14 - 6 = 8 , then find which option equals 8
  • Check: Verify 14−4−2=10−2=8 14 - 4 - 2 = 10 - 2 = 8 ✓

Common Mistakes

Avoid these frequent errors
  • Not calculating the original expression first
    Don't jump straight to testing answer choices without knowing what value you're looking for! This wastes time and leads to confusion. Always calculate 14−6=8 14 - 6 = 8 first, then find which expression equals 8.

Practice Quiz

Test your knowledge with interactive questions

Add fifty units to the number 31.

What is the resulting number?

FAQ

Everything you need to know about this question

Why can't I just look at the numbers and guess?

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Looking at numbers alone is misleading! For example, 14−3−2=9 14 - 3 - 2 = 9 looks close but gives the wrong answer. Always calculate to be sure.

Do I have to work left to right for subtraction?

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Yes! Subtraction is not commutative, so order matters. Calculate 14−4−2 14 - 4 - 2 as (14−4)−2=10−2=8 (14 - 4) - 2 = 10 - 2 = 8 .

What if two expressions give the same answer?

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That would mean both are equivalent to the original! But in multiple choice questions, there's typically only one correct answer per question.

How do I avoid calculation errors?

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Work step-by-step and write down each calculation. For 14−4−2 14 - 4 - 2 : first 14−4=10 14 - 4 = 10 , then 10−2=8 10 - 2 = 8 .

Can I check my work another way?

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Yes! You can think of it as: 14−6 14 - 6 means "take away 6 total" and 14−4−2 14 - 4 - 2 means "take away 4, then take away 2 more" which is 6 total!

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