Find the Sum: Solving 48 + 5 Addition Expression

Addition Decomposition with Number Substitution

Which expression is equivalent to the given equation?

48+5= 48+5=

❤️ 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?

48+5= 48+5=

2

Step-by-step solution

To solve this problem, we need to determine which expression is equivalent to 48+5 48+5 . The sum 48+5 48+5 equals 53 53 . We will rewrite 5 5 as the sum of two numbers that add to 5, matching one of the provided choices.

Let's decompose 5 5 in potential ways: 5=2+3 5 = 2 + 3 . Now let's rewrite the equation using this decomposition:

48+5=48+(2+3)=48+2+3 48 + 5 = 48 + (2 + 3) = 48 + 2 + 3

This step has shown that 48+2+3 48+2+3 equals 53 53 , the same result as 48+5 48 + 5 .

Therefore, the expression equivalent to 48+5 48+5 is 48+2+3 48+2+3 , corresponding to choice 2.

3

Final Answer

48+2+3 48+2+3

Key Points to Remember

Essential concepts to master this topic
  • Decomposition: Break numbers into smaller parts that add to the same sum
  • Technique: Replace 5 with 2+3 since both equal 5
  • Check: Verify 48+2+3 = 53 equals original 48+5 = 53 ✓

Common Mistakes

Avoid these frequent errors
  • Randomly splitting numbers without checking the sum
    Don't break 5 into 1+3 or 3+3 without verifying = wrong decomposition! These don't equal 5, so they change the entire equation's value. Always ensure your decomposition parts add up to the original number.

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 split 5 into any two numbers?

+

The two numbers must add up to exactly 5! For example, 1+3=4 (not 5) and 3+3=6 (not 5). Only combinations like 2+3 or 1+4 work because they equal 5.

How do I know which decomposition to choose?

+

Look at the answer choices given! You need to find which decomposition matches one of the options. In this case, only 2+3=5 appears as an answer choice.

What does 'equivalent expression' mean?

+

It means both expressions give the same final answer. Since 48+5=53 48+5=53 and 48+2+3=53 48+2+3=53 , they're equivalent!

Can I decompose 48 instead of 5?

+

You could, but it's much easier to decompose the smaller number! Breaking down 5 into 2+3 is simpler than breaking 48 into something like 46+2.

Do I need to solve the addition problem first?

+

Not necessarily! You can find equivalent expressions by recognizing that if the parts equal the whole, the expressions are equivalent without calculating the final sum.

🌟 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