All questions of Estimates for Grade 6 Exam

• 52967 rounded off to the nearest hundred: To round off a number to the nearest hundred, we look at the digit in the tens place. If it is 5 or greater, we round up. If it is less than 5, we round down.


• Given number: 52967


• Tens place digit: 9


• Rounding off: Since the tens place digit is 5 or greater, we round up the number.


• Nearest hundred: The number rounded off to the nearest hundred is 53000.

Therefore, the answer is D: 53000.

Understanding Rounding Off
Rounding off is a technique used to simplify numbers while retaining their value. It involves adjusting a number to its nearest specified place value, such as the nearest thousand, hundred, or ten.

Steps to Round 15768 to the Nearest Thousand
1. **Identify the Target Place Value**
- In this case, we want to round to the nearest **thousand**.
2. **Locate the Relevant Digits**
- The thousands place in 15768 is **15** (which represents **15000**).
- The digit immediately to the right (the hundreds place) is **7**.
3. **Apply Rounding Rules**
- If the digit in the hundreds place (7) is **5 or greater**, we round up.
- If it is **less than 5**, we round down.

Decision Based on the Hundreds Digit
- Since the hundreds digit is **7**, which is greater than 5, we round **15** up to **16**.

Final Result After Rounding
- Therefore, rounding 15768 to the nearest thousand gives us **16000**.

Conclusion
- The correct answer is **option B: 16000**. This demonstrates how rounding can simplify numbers while retaining their approximate value.

Understanding Rounding Off
Rounding off is a method used to simplify numbers while retaining their approximate value. It helps in estimating and making calculations easier.

Identifying the Nearest Ten Thousand
When rounding off a number to the nearest ten thousand, we look at the value of the thousands place. The number we are rounding is **29351**.

Steps to Round 29351

• Identify the ten thousand place: In **29351**, the ten thousand place is **2** (representing **20000**).
• Look at the thousands place: The thousands digit is **9** (from **29351**).
• Determine if it is 5 or more: Since **9** is greater than **5**, we round up.

Rounding Up
Since the thousands digit is **9**, we round up the ten thousand place from **2** to **3**.

Final Rounded Value
Thus, **29351** rounded to the nearest ten thousand becomes **30000**.

Conclusion
The correct answer is option **A: 30000**. This rounding method allows us to quickly estimate and simplify our calculations in everyday scenarios.

Round off 738 to the Nearest Hundred
To round off a number to the nearest hundred, we look at the digit in the tens place. If it is 5 or greater, we round up; if it is less than 5, we round down.

Steps to Round off 738 to the Nearest Hundred:
- Look at the tens place, which is 3 in 738.
- Since 3 is less than 5, we round down.
- Replace the digits after the hundreds place with zeros.
- Therefore, 738 rounded off to the nearest hundred is 700.
So, the correct answer is option A) 700.

Round off 6384707 to the nearest lakh:
First, let's understand what rounding off to the nearest lakh means. A lakh is a unit in the Indian numbering system that is equal to 100,000. So, when we round off a number to the nearest lakh, we are essentially rounding it to the nearest multiple of 100,000.

Steps to round off 6384707 to the nearest lakh:
- Identify the digit in the lakh's place: In 6384707, the digit in the lakh's place is 8.
- Look at the digit to the right of the lakh's place: The digit to the right of 8 is 4.
- Since 4 is less than 5, we round down the lakh's digit (8) to 0.
- Replace all digits to the right of the lakh's place with zeros: Therefore, rounding off 6384707 to the nearest lakh gives us 6400000.
Therefore, the rounded off value of 6384707 to the nearest lakh is 6400000. So, option D (6400000) is the correct answer.

Round off 789,221 to the nearest ten thousand:

Identify the place value:
- The ten thousand place in 789,221 is 70,000.

Look at the digit to the right of the ten thousand place:
- The digit in the place value of 1, which is less than 5.

Round down or up:
- Since the digit is less than 5, we round down the number.

Round off to the nearest ten thousand:
- Rounding down 789,221 to the nearest ten thousand gives us 790,000.

Therefore, 789,221 rounded off to the nearest ten thousand is 790,000.

Round off 245 to the nearest ten
To round off 245 to the nearest ten, we need to look at the digit in the tens place, which is 4 in this case.

Identify the tens digit
The tens digit in 245 is 4.

Determine the rounding
Since the tens digit is 4, which is less than 5, we round down.

Round off to the nearest ten
When we round down 245 to the nearest ten, it becomes 240.
Therefore, the number 245 rounded off to the nearest ten is 240.