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Decimal Places - GCSE Mathematics - Revision and Examples

1. Decimal Places 

Positions of the digits to the right of a decimal point are known as decimal places. 

01. Decimal Places

A decimal number is shortened to a specific level of accuracy when it is rounded to decimal places. To achieve this, we locate the decimal place to which we want to round the number, and then we look at the digit immediately to its right. We round up if the number following the selected accuracy is a 5 or above. When it falls below 5, we round down.

It is important to give the number of digits required after the decimal point, even if the last digit would be a zero.

Example: Rounding 57.6274 to 2 decimal places (2.d.p) is 57.63

1.1 How to round to Decimal Places?

We follow the below steps while rounding decimals:

  1. Observe the next smaller place value i.e. towards the right of the digit that is being rounded off. For example, for rounding to the nearest hundred, observe the digit in the tens place.
  2. If the digit in the smaller place value is less than 5, then we round down. To round down, replace all the digits after the digit that you are rounding to by 0. 
  3. If the digit in the smaller place value is greater than or equal to 5, then we round up. To round up, add one to the digit that you are rounding to and replace all the digits after it with 0.

Example: Round 96.237 to the nearest tenth.

Solution:

GCSE Decimal Places Image 01

Example: Round 0.041682 to two decimal places.

Solution: 

GCSE Decimal Places Image 02

Example: A calculator displayed an answer to a calculation as 163.2085313. What is this given to three decimal places?

Solution: 

GCSE Decimal Places Image 03

Quiz Questions
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GCSE Topics

  • Ratio, Proportion and Rates of Change (443)
  • Geometry and Measures (809)
  • Statistics (274)
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  • Numbers (1,084)
  • Data Visualisation (4)
  • Algebra (1,176)
    • Frequently Asked Questions
    What are the main topics in GCSE Maths?

    The main topics in GCSE Maths are:

    • Numbers
    • Algebra 
    • Ratio, Proportion and Rates of Change 
    • Geometry and Measures
    • Statistics 
    • Probability 
    • Statistical Measures 
    • Data Visualisation 

    With regular practice of GCSE Maths topic-wise questions and GCSE Maths past pacers, you can easily score high marks.

    Is GCSE Maths hard?

    Although many people think of GCSE maths as a difficult subject, with the correct training and preparation,you can master it in time. You can practice GCSE Maths  topic-wise questions daily to improve speed, accuracy, and time and to score high marks in the GCSE Maths exam.

    What is a good grade on GCSE Maths Exam?

    A grade of 4 or 5 would be considered "good" because the government has established a 4 as the passing grade; a grade of 5 is seen as a strong pass. Therefore, anything that exceeds this level would be considered good. You can practice GCSE Maths topic-wise questions to score good grades in the GCSE Maths exam.

    How can I get full marks in GCSE Maths?

    You can get a high score in GCSE Maths through meticulous practice of GCSE Maths topic-wise questions and GCSE Maths past papers.

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