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Chapter 1: Problem 17

Round the given number to the specified decimal place 0.005555 to the thousandths place

Short Answer

Expert verified
0.006

Step by step solution

01

Identify the Decimal Place

To round the number to the thousandths place, first identify which digit is in the thousandths place. In the number 0.005555, the thousandths place is occupied by the digit 5 (the third digit to the right of the decimal point).
02

Check the Next Digit

Examine the digit immediately to the right of the thousandths place to determine if rounding is necessary. In 0.005555, the digit after the thousandths place is also a 5.
03

Apply Rounding Rule

According to rounding rules, if the next digit is 5 or greater, we increase the digit in the thousandths place by one. Since the digit following the thousandths place is 5, we round up the digit in the thousandths place from 5 to 6.
04

Write the Rounded Number

Replace all digits after the intended decimal place with zeros or truncate them. Based on the rounding process, the number 0.005555 rounded to the thousandths place becomes 0.006.

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Key Concepts

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

Decimal Places
When dealing with decimal numbers, understanding what decimal places are is crucial. A decimal number consists of a whole number part and a fractional part, separated by a decimal point. Each position to the right of the decimal point represents a different decimal place. Let's visualize this:
  • The first place right after the decimal point is the tenths place.
  • The second is the hundredths place.
  • The third is the thousandths place, and so on.
In the number 0.005555, the digit 5 in the third position after the decimal represents the thousandths place. This helps us know where to focus when rounding the number.
Rounding Rules
Rounding is a technique used to simplify numbers, making them easier to work with. The key to rounding is following the rules accurately. Let's break down the basic rounding rule used in most situations:
  • If the digit immediately after the place you are rounding to is 5 or greater, you round up.
  • If it is less than 5, you round down by leaving the digit in the place you're rounding to unchanged.
Applying these rounding rules, for the number 0.005555, we look at the thousandths place which is the third digit. The next digit, also a 5, indicates that we need to round up. Thus, 5 becomes 6, resulting in the rounded number of 0.006.
Mathematics Education
Understanding rounding is a core topic in mathematics education, pivotal in building number sense among students. Rounding not only simplifies calculations but also aids in approximation skills, essential in real-life applications.
Effective mathematics education ensures students grasp these concepts through:
  • Practical examples and real-world contexts showing why rounding matters.
  • Engaging activities that use rounding in different scenarios, helping students see its utility.
  • Practice exercises where students repeatedly identify decimal places and apply rounding rules.
This foundational skill fosters confidence in handling larger calculations effortlessly.

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Most popular questions from this chapter

Write the following decimal numbers in scientific notation and in E-notation. $$0.0000621$$

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