Calculate the Sum: 48 + 31 + 19 Step-by-Step Solution

Q: Why should I group 31 + 19 instead of adding left to right?

Grouping 31 + 19 = 50 creates a nice round number! Adding 48 + 50 is much easier than 48 + 31, then adding 19. This strategy reduces mental math errors.

Q: Does it matter which numbers I add first?

No! The associative property says you can group addition in any order. 48 + (31 + 19) gives the same answer as (48 + 31) + 19.

Q: Is there a faster way to do this mentally?

Yes! Notice that 31 + 19 = 50 because 30 + 20 = 50 and 1 - 1 = 0. Then 48 + 50 = 98. Look for these compensation patterns!

Addition Strategy with Grouping Numbers

$48+31+19=$

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Step-by-step video solution

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00:00 Solve

00:03 We will use the commutative law and solve this addition first

00:07 We will continue to solve as usual

00:10 And this is the solution to the question

Step-by-step written solution

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Understand the problem

$48+31+19=$

Step-by-step solution

According to the rules of the order of operations, you can use the substitution property and start the exercise from right to left to comfortably calculate:

$31+19=50$

$48+50=98$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Associative Property: Group numbers in any order for easier calculation
Technique: Add 31 + 19 = 50 first, then 48 + 50
Check: Add left to right: 48 + 31 = 79, then 79 + 19 = 98 ✓

Common Mistakes

Avoid these frequent errors

Adding carelessly without grouping strategy
Don't just add from left to right without thinking = more chance for arithmetic errors! Mental math becomes harder when you don't look for convenient groupings. Always look for pairs that make round numbers like 31 + 19 = 50.

Practice Quiz

Test your knowledge with interactive questions

$$ 100-(30-21)= $$

FAQ

Everything you need to know about this question

Why should I group 31 + 19 instead of adding left to right?

Grouping 31 + 19 = 50 creates a nice round number! Adding 48 + 50 is much easier than 48 + 31, then adding 19. This strategy reduces mental math errors.

Does it matter which numbers I add first?

No! The associative property says you can group addition in any order. 48 + (31 + 19) gives the same answer as (48 + 31) + 19.

What if the numbers don't make convenient groups?

That's okay! You can still add left to right. But always look for pairs that make 10s, 50s, or 100s first - it makes mental math much easier!

How can I check my addition is correct?

Try adding in a different order! If 48 + 31 + 19 = 98, then 19 + 31 + 48 should also equal 98. You can also estimate: about 50 + 30 + 20 = 100.

Is there a faster way to do this mentally?

Yes! Notice that 31 + 19 = 50 because 30 + 20 = 50 and 1 - 1 = 0. Then 48 + 50 = 98. Look for these compensation patterns!

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