Understanding Decimals Decimals are an essential part of the 11-plus Mathematics curriculum, and understanding them is crucial for success in the entrance exams...
Decimals are an essential part of the 11-plus Mathematics curriculum, and understanding them is crucial for success in the entrance exams. This topic encompasses several key areas including place value, ordering and comparing decimals, rounding, and performing various calculations with decimals.
In a decimal number, each digit has a specific place value. The position of a digit determines its value based on powers of ten. For example, in the number 3.76:
Understanding this concept is vital for performing calculations accurately.
To order decimals, students must compare their place values. For instance, to compare 0.45 and 0.54:
Students should practice ordering a series of decimals from smallest to largest to strengthen their understanding.
Rounding decimals involves adjusting the number to a specified place value. For example, rounding 2.678 to two decimal places results in 2.68. Students learn to identify which digit to round based on the digit immediately to the right.
Students will perform various operations with decimals:
Understanding the relationship between fractions and decimals is crucial. For example, the fraction 1/4 is equivalent to 0.25. Students should practice converting common fractions to decimals and vice versa.
Finally, students will apply their knowledge of decimals to real-life scenarios, such as money calculations. For instance, if an item costs £3.75 and you buy 4 items, students will learn to calculate the total cost by multiplying 3.75 by 4.
Problem: Calculate the total cost of 5 items priced at £2.49 each.
Solution:
The total cost is £12.45.
By mastering these concepts, students will be well-prepared for the mathematics section of the 11-plus exam.