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Chapter 1: Problem 32

Round each of the numbers to the nearest thousand. $$4,444$$

Short Answer

Expert verified
4,444 rounded to the nearest thousand is 4,000.

Step by step solution

01

Identify the Thousands Place

The number given is 4,444. First, locate the digit in the thousands place, which is the first 4 from the left.
02

Check the Hundreds Place

Look at the digit right after the thousands place, which is the hundreds digit. In 4,444, the digit in the hundreds place is also 4.
03

Apply Rounding Rules

According to rounding rules, if the hundreds digit is 5 or greater, you round up. If it is less than 5, you round down. Since the hundreds digit in this case is 4, which is less than 5, you will round down.
04

Round the Number

Rounding down means the thousands digit stays the same, and all digits following it become zero. Therefore, 4,444 rounded to the nearest thousand is 4,000.

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Key Concepts

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

Rounding to the Nearest Thousand
Rounding to the nearest thousand can help simplify numbers, especially when you need an easy approximation. To round a number to the nearest thousand, you will focus mainly on the digit in the thousands place.
For example, in the number 4,444, the digit in the thousands place is the first 4. Your task is to look at this position and pay attention to what comes next, which in rounding is the most critical step. The rounding process then involves deciding whether to keep the thousands digit as it is, or to increase it by one.
Each rounded number will then be presented as a round number like 4,000 or 5,000, which are much easier to handle.
Understanding Place Value
Place value is a foundational concept in mathematics that determines the value of a digit based on its position in a number. This means that, in a multi-digit number, each digit has a different value.
In the number 4,444, notice how there are four digits. Starting from the right:
  • The first 4 is in the units place.
  • The second 4 is in the tens place.
  • The third 4 is in the hundreds place.
  • The fourth 4 is in the thousands place.
Knowing the place value helps you determine how much each digit contributes to the number overall. This understanding is essential when rounding a number, as it helps identify which digit you should be focusing on, based on the rounding precision you need.
Mastering Rounding Rules
Rounding rules are easy once you get the hang of them.
Here's a simple rule to remember: Look at the digit immediately after the place value you're rounding to. In our example of rounding 4,444 to the nearest thousand, you examine the hundreds digit, which is the third digit from the left or the 4 in this case.
The rules are:
  • If this digit is 5 or more, you round up the thousands place by increasing it by 1.
  • If the digit is less than 5, you round down, keeping the thousands place unchanged.
These rules make it quick to decide how to round any number. So, when you determine that 4 in the hundreds place is less than 5, you will maintain the thousands digit as is and zero out remaining digits, leaving you with a rounded number like 4,000.

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Most popular questions from this chapter

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