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Chapter 1: Problem 3

Round the given number to one decimal place. $$62.061$$

Short Answer

Expert verified
62.1

Step by step solution

01

Identify the Decimal Place

The given number is 62.061. To round this number to one decimal place, we need to focus on the first digit after the decimal point, which is 0.
02

Determine the Rounding Rule

Look at the digit immediately after the target decimal place. Here, the target digit is the first decimal place (0), and the next digit is 6.
03

Apply the Rounding Rule

Since the digit after the first decimal place is 6, which is greater than 5, we round up the 0 to 1.
04

Write the Rounded Number

After applying the rounding rule, the number 62.061 rounds to 62.1 when rounded to one decimal place.

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Key Concepts

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

Decimal Places
Understanding decimal places is crucial when dealing with numbers that have digits after the decimal point. In a decimal number like 62.061, the number 62 is the whole number, and 0.061 represents the fractional part.
Decimal places refer to the digits that appear to the right of the decimal point. These digits show the precision of the number. For example, when asked to round a number to one decimal place, it means you focus on the first digit after the decimal point.
The first decimal place can significantly affect the overall value of the number, especially when rounding is considered.
Rounding Rules
Rounding rules determines whether a Certain decimal digit should increase or stay the same during the rounding process. The general rule is straightforward:
  • Look at the digit to the right of the desired decimal place.
  • If this digit is 5 or greater, you "round up" by increasing the targeted decimal digit by one.
  • If this digit is less than 5, you "round down," keeping the targeted decimal digit the same.
For example, in rounding 62.061 to one decimal place, we target the 0 (first digit after the decimal point). The next digit is 6, which is greater than 5, prompting us to round up to 62.1.
Mathematics Education
Mathematics education covers concepts like decimal places and rounding rules in depth. These subjects are often introduced in elementary school and build in complexity as students progress.
Understanding these concepts early allows students to handle more advanced math topics easily later on.
  • It helps in estimating and simplifying calculations.
  • It plays an important role in subjects like physics and finance where precision is crucial.
  • It is foundational to understanding place value and the overall number system.
Teachers often use practical activities and real-world examples to illustrate these ideas, making them relatable and easier to understand.

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