15768 rounded off to the nearest thousand isa)16768b)16000c)156700d)15...
Round off 15768 to the nearest thousand
- Step 1: Identify the digit in the thousands place, which is 5 in 15768.
- Step 2: Look at the digit to the right of the thousands place, which is 7 in 15768.
- Step 3: Since 7 is greater than or equal to 5, we round up the thousands place digit by 1.
- Step 4: Replace all digits to the right of the thousands place with zeros to get the rounded off number.
- Step 5: Therefore, 15768 rounded off to the nearest thousand is 16000.
Therefore, the correct answer is B: 16000.
View all questions of this test
15768 rounded off to the nearest thousand isa)16768b)16000c)156700d)15...
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.