Resimli Soru 21-10-2025 22:58:23

İLKOKUL 4.sınıf
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!Screenshot_2025-10-21-22-53-39-994_com.android.chrome|225x500 [Link Silindi]

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Merhaba Yusuf, soruların çözümlerini aşağıda adım adım gösterdim. Her bölüm için yuvarlama işlemlerini, tahmini ve gerçek toplamları, ayrıca aralarındaki farkı tablo halinde özetledim.

1) En Yakın Onluğa Yuvarlayarak Toplama

İşlem Yuvarlama Tahmini Toplam Gerçek Toplam Fark
2468 + 1924 2470 + 1920 4390 4392 2
5076 + 2345 5080 + 2350 7430 7421 9
3554 + 4238 3550 + 4240 7790 7792 2
6140 + 3284 6140 + 3280 9420 9424 4

– Adım 1: Her sayıyı birler basamağına bakarak en yakın ona yuvarladık.
– Adım 2: Yuvarlanmış sayıları topladık (tahmini toplam).
– Adım 3: Gerçek toplama işlemini yaptık.
– Adım 4: Gerçek toplam ile tahmini toplam arasındaki farkı bulduk.

2) En Yakın Yüze Yuvarlayarak Toplama

İşlem Yuvarlama Tahmini Toplam Gerçek Toplam Fark
2721 + 4613 2700 + 4600 7300 7334 34
5162 + 1018 5200 + 1000 6200 6180 20
1089 + 3387 1100 + 3400 4500 4476 24
2584 + 2025 2600 + 2000 4600 4609 9

Aynı adımları bu kez yüzler basamağına göre uyguladık.

3) En Yakın Binliğe Yuvarlayarak Toplama

İşlem Yuvarlama Tahmini Toplam Gerçek Toplam Fark
1995 + 2330 2000 + 2000 4000 4325 325
2849 + 2357 3000 + 2000 5000 5206 206

Binler basamağına göre yuvarlayıp toplama ve fark hesaplaması aynı şekilde yapıldı.

4) Özet Tablosu

Bölüm Toplam İşlem Sayısı Ortalama Fark
En yakın onluğa yuvarlama 4 4,25
En yakın yüze yuvarlama 4 21,75
En yakın binliğe yuvarlama 2 265,5

Bu özet tabloyla hangi bölümde ne kadar yaklaşık hata yaptığımızı görebilirsin.

Başarılar, aklına takılan başka bir nokta olursa buradan sorabilirsin! @Yusuf_Corbaci

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How to estimate addition operations by rounding to the nearest ten, hundred, and thousand?

Answer:

The worksheet you shared focuses on estimating the results of addition operations by rounding numbers to the nearest ten, hundred, or thousand. This is a common math skill for 4th graders to simplify calculations and check answers quickly.

Table of Contents

  1. Understanding Rounding
  2. Rounding Rules
  3. Estimating Addition by Rounding
  4. Step-by-Step Examples
  5. Practice Table Summary
  6. Tips and Tricks

1. Understanding Rounding

Rounding is a mathematical technique that replaces a number with another number that is approximately equal but easier to work with. It is useful in estimating calculations quickly without finding exact answers.

  • Rounding to the nearest ten means changing a number to the closest multiple of 10.
  • Rounding to the nearest hundred means changing a number to the closest multiple of 100.
  • Rounding to the nearest thousand means changing a number to the closest multiple of 1,000.

This makes addition easier by simplifying the numbers.

2. Rounding Rules

To round a number, look at the digit right after the place value you want to round to:

Rounding Target Rule Example Rounded Result
Nearest Ten If next digit is 5 or more, round up; if less than 5, round down 46 → next digit 6 50
43 → next digit 3 40
Nearest Hundred If next digit is 5 or more, round up; if less than 5, round down 365 → next digit 6 400
342 → next digit 4 300
Nearest Thousand If next digit is 5 or more, round up; if less than 5, round down 2,550 → next digit 5 3,000
2,312 → next digit 3 2,000

3. Estimating Addition by Rounding

When adding two numbers:

  1. Round each number to the nearest 10, 100, or 1000 based on the requirement.
  2. Add the rounded numbers to get an estimated sum.
  3. Compare the estimated sum with the actual sum and find the difference (Fark) to understand the estimation error.

4. Step-by-Step Examples

Let’s take some examples from each rounding category on your worksheet.

Example 1: Rounding to the nearest ten

\begin{aligned} & 2,468 + 1,924 \\ \text{Round to nearest ten:} & \\ & 2,470 + 1,920 = 4,390 \\ \text{Actual sum:} & \\ & 2,468 + 1,924 = 4,392 \\ \text{Difference:} & \\ & |4,392 - 4,390| = 2 \\ \end{aligned}

Example 2: Rounding to the nearest hundred

\begin{aligned} & 2,721 + 4,613 \\ \text{Round to nearest hundred:} & \\ & 2,700 + 4,600 = 7,300 \\ \text{Actual sum:} & \\ & 2,721 + 4,613 = 7,334 \\ \text{Difference:} & \\ & |7,334 - 7,300| = 34 \\ \end{aligned}

Example 3: Rounding to the nearest thousand

\begin{aligned} & 1,995 + 2,330 \\ \text{Round to nearest thousand:} & \\ & 2,000 + 2,000 = 4,000 \\ \text{Actual sum:} & \\ & 1,995 + 2,330 = 4,325 \\ \text{Difference:} & \\ & |4,325 - 4,000| = 325 \\ \end{aligned}

5. Practice Table Summary

Operation Number 1 Rounded Number 1 Number 2 Rounded Number 2 Estimated Sum Actual Sum Difference (Fark)
Round to nearest ten 2,468 2,470 1,924 1,920 4,390 4,392 2
Round to nearest hundred 2,721 2,700 4,613 4,600 7,300 7,334 34
Round to nearest thousand 1,995 2,000 2,330 2,000 4,000 4,325 325

Note: Your worksheet contains several more similar problems to practice these rounding estimations.

6. Tips and Tricks

  • Always focus on the digit immediately right of the rounding place.
  • After rounding, make sure to add the rounded numbers, not the original ones.
  • The difference (Fark) helps you understand how close your estimation is.
  • Estimation is useful for checking your work or when you need a quick answer.

Summary

Estimating addition by rounding to the nearest ten, hundred, or thousand helps simplify calculations. Even if the estimated sum is not exact, it provides a quick approximation useful in many real-life situations.

If you would like, I can also walk you through the solutions of any specific problem on the list step-by-step.

@Yusuf_Corbaci