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Chapter 5: Problem 41

Round 2,650 to the nearest hundred.

Short Answer

Expert verified
2,650 rounded to the nearest hundred is 2,700.

Step by step solution

01

Understanding the Place Value

Identify the hundreds place in the number 2,650. The hundreds digit is 6, which represents 600.
02

Identify the Neighboring Digit

Look at the digit immediately to the right of the hundreds place, which is 5 in the number 2,650.
03

Apply Rounding Rules

According to rounding rules, if the digit to the right is 5 or greater, you round up the hundreds digit. Since the digit is 5, we will round up 6 to 7.
04

Rewrite the Number

Change the hundreds digit to 7 and change all digits to the right to zero, resulting in the number 2,700.

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Key Concepts

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

Place Value
Understanding the concept of place value is fundamental in mathematics. It helps us to break down numbers and see how each digit contributes to the overall number. For example, in the number 2,650, each digit has a different weight based on its position. Here is how it breaks down:
  • The digit '2' is in the thousands place, representing 2,000.
  • The digit '6' is in the hundreds place and stands for 600.
  • The digit '5' is in the tens place, equal to 50.
  • The digit '0' is in the units place, adding no value.

By knowing place values, you can easily identify which part of a number to change when rounding. In our example, the task is to round to the nearest hundred, so the focus shifts to the hundreds place.
Rounding Rules
Rounding rules are guidelines to help us determine whether to round up or down when adjusting numbers. These rules ensure accuracy while simplifying numbers. Here鈥檚 a step-by-step guide to rounding:
  • First, identify the digit in the place value you want to round to. For rounding to the nearest hundred in 2,650, focus on the '6' (hundreds place).
  • Look at the digit immediately to the right, which is '5' for 2,650.
  • According to rounding rules:
    • If the right-hand digit is 5 or more, round up.
    • If it's less than 5, keep the digit as is.

Since '5' meets the rule for rounding up, the hundreds digit '6' becomes '7', and all following digits become zeros, resulting in 2,700.
Mathematics Education
Rounding numbers is an essential skill taught early in mathematics education. This concept not only simplifies numbers but also makes them more understandable in everyday contexts. Teaching this in classrooms involves several key aspects:
  • Conceptual Understanding: Students should grasp why we round numbers. This includes understanding accuracy and estimation.
  • Practical Application: Encourage the use of rounding in real-life scenarios, like estimating the total cost while shopping.
  • Interactive Learning: Use games and tools that allow students to manipulate numbers and see rounding in action.

By focusing on these methods, teachers can ensure that students not only learn the mechanical process of rounding but also appreciate its practical value in mathematics and beyond.

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Most popular questions from this chapter

Perform each indicated operation. $$ 6 \frac{11}{12}+\frac{2}{3} $$

Find the LCM of 11, 15, and 20.

Find each value. $$ \frac{7}{9}-\frac{4}{5} \cdot \frac{5}{36} $$

Find the sum or difference. $$ \frac{7}{10}-\frac{5}{8} $$

Compare \(11 \frac{1}{6}\) and \(9 \frac{2}{5}\).
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