Solve the Expression: Finding the Value of 63-44

Equivalent Expressions with Numerical Equivalence

Which expression is equivalent to the given equation?

6344 63-44

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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?

6344 63-44

2

Step-by-step solution

To find an expression equivalent to 6344 63 - 44 , let's begin by calculating the value:

  • Step 1: Subtract the numbers 6344 63 - 44 .

Performing the calculation:
6344=19 63 - 44 = 19

Next, we check which expression from the provided choices also results in 19.
Let's evaluate each option:

  • Choice 1: 6343 63 - 43
    6343=20 63 - 43 = 20 (Not 19)
  • Choice 2: 6343+1 63 - 43 + 1
    6343+1=21 63 - 43 + 1 = 21 (Not 19)
  • Choice 3: 64441 64 - 44 - 1
    6444=20 64 - 44 = 20
    Subtracting 1: 201=19 20 - 1 = 19
    This matches our target value.
  • Choice 4: 6444+1 64 - 44 + 1
    6444=20 64 - 44 = 20
    Adding 1: 20+1=21 20 + 1 = 21
    (Not 19)

Therefore, the expression equivalent to 6344 63 - 44 is given by choice 3: 64441 64 - 44 - 1 .

3

Final Answer

64441 64-44-1

Key Points to Remember

Essential concepts to master this topic
  • Rule: Equivalent expressions must have the same numerical value
  • Technique: Calculate original: 63 - 44 = 19, then test choices
  • Check: Substitute and verify: 64 - 44 - 1 = 19 ✓

Common Mistakes

Avoid these frequent errors
  • Assuming similar-looking expressions are equivalent
    Don't think 63 - 43 = 63 - 44 because they look similar = wrong answer 20 instead of 19! Visual similarity doesn't guarantee mathematical equivalence. Always calculate the actual values to confirm equivalence.

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

How do I know if two expressions are equivalent?

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Calculate both expressions and see if they give the same result. If 6344=19 63 - 44 = 19 and another expression also equals 19, they're equivalent!

Why can't I just look at the numbers to tell?

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Numbers can be deceiving! For example, 6343 63 - 43 looks very similar to 6344 63 - 44 , but one equals 20 and the other equals 19. Always calculate to be sure.

What if multiple expressions give the same answer?

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That's great! Multiple expressions can be equivalent to the same original expression. In math, there are often many ways to write the same value.

Should I simplify before comparing?

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Yes! Always calculate each expression to its simplest form (a single number) before comparing. This makes it easy to see which ones match.

What's the fastest way to check my work?

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Calculate the original expression first: 6344=19 63 - 44 = 19 . Then test each choice until you find another expression that also equals 19.

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