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

Expression Equivalence with Multiple Subtractions

Which expression is equivalent to the given equation?

146= 14-6=

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

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?

146= 14-6=

2

Step-by-step solution

To solve the given problem, we must find which expression is equivalent to 146 14 - 6 .

  • Step 1: Perform the subtraction 146 14 - 6 .

  • Step 2: Calculate the result: 146=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: 1442 14 - 4 - 2

    • - Break it down: 144=10102=8 \begin{aligned} 14 - 4 &= 10 \\ 10 - 2 &= 8 \end{aligned} This calculation results in 8 8 , which matches 146 14 - 6 .

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

Therefore, the expression 1442 14 - 4 - 2 is equivalent to the given equation 146 14 - 6 .

3

Final Answer

1442 14-4-2

Key Points to Remember

Essential concepts to master this topic
  • Rule: Equivalent expressions must have the same final value
  • Technique: Calculate 146=8 14 - 6 = 8 , then find which option equals 8
  • Check: Verify 1442=102=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 146=8 14 - 6 = 8 first, then find which expression equals 8.

Practice Quiz

Test your knowledge with interactive questions

If we have 67 blocks in total, how many blocks will remain if we remove 5 tens and 4 ones?

FAQ

Everything you need to know about this question

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

+

Looking at numbers alone is misleading! For example, 1432=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?

+

Yes! Subtraction is not commutative, so order matters. Calculate 1442 14 - 4 - 2 as (144)2=102=8 (14 - 4) - 2 = 10 - 2 = 8 .

What if two expressions give the same answer?

+

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?

+

Work step-by-step and write down each calculation. For 1442 14 - 4 - 2 : first 144=10 14 - 4 = 10 , then 102=8 10 - 2 = 8 .

Can I check my work another way?

+

Yes! You can think of it as: 146 14 - 6 means "take away 6 total" and 1442 14 - 4 - 2 means "take away 4, then take away 2 more" which is 6 total!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Natural Numbers around 100 questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations