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Chapter 1: Problem 22

Round each of the numbers to the nearest hundred. $$988$$

Short Answer

Expert verified
988 rounded to the nearest hundred is 1000.

Step by step solution

01

Identify the Hundreds Place

The number 988 has three digits. The hundreds place is the third digit from the right, which is 9.
02

Identify the Tens Place

Locate the tens place, which is the second digit from the right. In the number 988, the tens digit is 8.
03

Determine Rounding Action

To determine whether to round up or down, check the tens digit. If the tens digit is 5 or greater, round up; if it is less than 5, round down. In this case, the tens digit is 8, so we will round up.
04

Perform the Rounding

Since the tens digit is 8, we round the hundreds digit up from 9 to 10, resulting in a number that spans an extra thousand place. Therefore, 988 rounded to the nearest hundred is 1000.

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Key Concepts

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

Understanding the Hundreds Place
When dealing with rounding numbers to the nearest hundred, it's crucial to understand what the "hundreds place" means. In any given number, each digit has a specific place value.
The hundreds place is often the third digit from the right. For instance, in the number 988, the hundreds place is signified by the digit 9.
  • The hundreds place importance: It forms the basis for rounding off numbers to the nearest set of hundreds.
  • Place value in context: Knowing the place value helps us to identify which part of the number to change during rounding.
Recognizing this place is the preliminary step in rounding numbers and is essential for applications requiring estimations or simplifying figures.
Identifying the Tens Place
The tens place also plays an important role in rounding numbers, especially to the nearest hundred. It indicates whether the number should be rounded up or down.
In a number, the tens place is the second digit from the right. For example, in 988, the tens digit is 8.
  • Role of the tens place: It helps us decide the direction of rounding.
  • Easy identification: Always look one place to the right of where you're rounding to find it.
Being familiar with identifying this digit allows you to apply rounding techniques accurately and with ease.
Guidelines for Rounding (Rounding Rules)
Rounding is a mathematical process used to simplify numbers, making them easier to work with. It follows a set of specific guidelines commonly referred to as "rounding rules."
  • If the tens digit is less than 5, you round down. This means the hundreds digit stays the same.
  • If the tens digit is 5 or greater, you round up. This means you'll add one to the hundreds digit.
In our example with the number 988, the tens digit is 8, making it greater than 5. So, we round up the hundreds digit from 9 to 10. This creates a final rounded number of 1000, because the overflow means we move into a new thousand range, illustrating how rounding can significantly simplify calculations while maintaining proximity to the original number.

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Most popular questions from this chapter

Rewrite each of the following using the associative property of addition. $$(4+n)+1$$

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. Milligrams of Calcium Suppose one egg contains 25 milligrams of calcium, a piece of toast contains 40 milligrams of calcium, and a glass of milk contains 215 milligrams of calcium. How many milligrams of calcium are contained in a breakfast that consists of three eggs, two glasses of milk, and four pieces of toast?

Add each of the following. (There is no carrying involved in these problems. $$\begin{array}{r} 6,245 \\ 203 \\ 1,001 \\ \hline \end{array}$$

Divide. You shouldn't have any wrong answers because you can always check your results with multiplication. $$\frac{4,606}{49}$$

Find a solution for each equation. $$n+4=7$$
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