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Chapter 1: Problem 17

Round each of the numbers to the nearest hundred. $$549$$

Short Answer

Expert verified
549 rounded to the nearest hundred is 500.

Step by step solution

01

Understanding Rounding

Rounding a number to the nearest hundred involves looking at the tens digit to determine whether to round up or down. If the tens digit is 5 or greater, you round up. If it is less than 5, you round down.
02

Identifying Tens Digit

In the number 549, the tens digit is 4. Since 4 is less than 5, we will round down.
03

Rounding Down to the Nearest Hundred

Rounding down 549 means that it is closer to 500 than to 600, so we round it down to 500.
04

Final Result

The result of rounding 549 to the nearest hundred is 500.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding Place Value
Place value is a fundamental concept in mathematics that helps us understand the value of digits in a number based on their position. Imagine each digit in a number is like a player in a soccer team; they all have specific roles!
  • The rightmost place is the 'ones' place, where each digit is worth its own face value.
  • Next to it is the 'tens' place, where each digit is worth ten times more than in the ones place.
  • Then comes the 'hundreds' place, where each digit's value is a hundred times its face value.
For example, in the number 549:
  • The digit 9 is in the ones place.
  • The digit 4 is in the tens place, giving it a value of 40.
  • The digit 5 is in the hundreds place, giving it a value of 500.
Knowing place values is essential when rounding numbers because it helps identify which digits affect rounding and by how much!
Rounding to the Nearest Hundred
Rounding involves adjusting a number to make it simpler or clearer, maintaining its value close to the original.
The 'nearest hundred' means you're looking at numbers like 100, 200, 300, and so on. So how do we know whether to move up or down to the nearest hundred?
Here's the trick:
  • Look at the number in the tens place.
  • If it is 5 or greater, round up to the next hundred.
  • If it is less than 5, round down to the current hundred.
For example, with the number 549, you focus on the tens digit, which is 4. Since 4 is less than 5, you round down to the nearest hundred, which is 500.
Mastering Rounding Down
Rounding down is simply rounding a number to a lower "landmark" value based on specific criteria.
When we round down, we find the closest lower boundary of a particular category (like tens or hundreds) for the number.
For example, when rounding 549 down to the nearest hundred, we consider:
  • The hundreds are 500 and 600 (549 is in between these).
  • Since the tens digit is less than 5, it leans towards 500.
Therefore, we can say that 549 rounds down to 500.
Rounding down helps in simple estimations, especially useful when precision isn't crucial, making numbers easier and quicker to work with.

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Most popular questions from this chapter

Write each of the following expressions in words. Use the word sum in each case. $$9+4$$

Number of Passengers A plane flying from Los Angeles to New York left Los Angeles with 67 passengers on board. The plane stopped in Bakersfield and picked up 28 passengers, and then it stopped again in Dallas where 57 more passengers came on board. How many passengers were on the plane when it landed in New York?

The application problems that follow may involve more than merely division. Some may require addition, subtraction, or multiplication, whereas others may use a combination of two or more operations. Filling Glasses How many 8-ounce glasses can be filled from three 32 -ounce bottles of soda?

Write each of the following expressions in words. Use the word sum in each case. $$9+9$$

Rewrite each of the following using the associative property of addition. $$1+(9+1)$$
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