Calculate the Sum: 113 + 59 + 71 + 57 Using Addition Methods

Multi-digit Addition with Strategic Grouping

113+59+71+57=? 113+59+71+57=\text{?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Let's solve each addition operation separately
00:12 Let's arrange the equation so it's convenient for us to add
00:19 Let's continue with the same method, solving each addition separately and then combine
00:25 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

113+59+71+57=? 113+59+71+57=\text{?}

2

Step-by-step solution

In order to simplify our calculations we try to add numbers that give us a round result.

Let's keep in mind that:

113+57=170 113+57=170

59+71=130 59+71=130

Now we have a more manageable exercise to solve:

170+130=300 170+130=300

3

Final Answer

300

Key Points to Remember

Essential concepts to master this topic
  • Strategy: Group numbers that create round totals for easier calculation
  • Technique: Pair 113+57=170 and 59+71=130 first
  • Check: Verify 170+130=300 matches sum of all four original numbers ✓

Common Mistakes

Avoid these frequent errors
  • Adding numbers from left to right without grouping
    Don't just add 113+59+71+57 in order = harder mental math and more errors! This creates awkward partial sums like 172+71=243, then 243+57. Always look for strategic 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 instead of adding left to right?

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Strategic grouping makes mental math much easier! When you pair numbers that add to round totals like 170 or 130, you avoid messy calculations and reduce mistakes.

How do I know which numbers to pair together?

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Look for pairs that create round numbers (ending in 0). In this problem, 113+57=170 and 59+71=130 both give clean totals that are easy to add together.

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

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That's okay! Try pairing numbers that are close to each other or look for combinations that minimize carrying when adding. The goal is to make the math simpler.

Can I group more than two numbers at once?

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Yes! You could add three or four numbers together if it helps. But pairing usually works best because it's easier to keep track of your calculations.

How do I check if my grouping gave the right answer?

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  • Add the original numbers in order: 113+59+71+57 113+59+71+57
  • Compare with your grouped result
  • Both methods should give 300

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