Calculate the Sum: 74 + 32 + 6 + 4 + 4

Addition Strategies with Multi-Digit Numbers

74+32+6+4+4=? 74+32+6+4+4=\text{?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:07 Let's solve the problem together.
00:10 We'll tackle each addition step by step. Ready? Let's start!
00:24 First, we'll rearrange the equation for easier adding.
00:28 Great! Continue adding each part separately, then combine them.
00:33 And there you have it! That's how we solve the question.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

74+32+6+4+4=? 74+32+6+4+4=\text{?}

2

Step-by-step solution

In order to simplify the resolution process we try to add numbers that give us a round result.

Keep in mind that:

4+4=8 4+4=8

Now we get the exercise:

74+36+6+8= 74+36+6+8=

Keep in mind that:

74+6=80 74+6=80

32+8=40 32+8=40

Now, we get a more manageable exercise to solve:

80+40=120 80+40=120

3

Final Answer

120

Key Points to Remember

Essential concepts to master this topic
  • Grouping: Combine numbers that make round totals first
  • Technique: Add 4+4=8, then 74+6=80, and 32+8=40
  • Check: Count all original numbers: 74+32+6+4+4 has 5 addends ✓

Common Mistakes

Avoid these frequent errors
  • Adding numbers left to right without grouping
    Don't just add 74+32=106, then 106+6=112, then 112+4=116, then 116+4=120 = more steps and chance for errors! This makes mental math harder and increases mistake risk. Always look for pairs that make round numbers first.

Practice Quiz

Test your knowledge with interactive questions

Solve:

\( -5+4+1-3 \)

FAQ

Everything you need to know about this question

Why should I group numbers before adding?

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Grouping numbers that make round totals (like 10, 20, 50, 80) makes mental math much easier! It's faster than adding left to right and reduces calculation errors.

What if I can't find numbers that make round totals?

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Look for any pairs that are easy to add! For example, doubles like 4+4=8, or numbers ending in the same digit. Even small simplifications help.

How do I know which numbers to group together?

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Look for combinations that give you multiples of 10 or easy doubles first. In this problem: 4+4=8 and 74+6=80 are great starting points!

Is my answer wrong if I add left to right instead?

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No! You'll get the same answer either way because addition is commutative. Grouping just makes it easier and faster to calculate correctly.

How can I check if 120 is correct?

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Add the numbers in a different order: (74+6)+(32+4+4)=80+40=120 (74+6) + (32+4+4) = 80 + 40 = 120 . If you get the same result, you're right!

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