1. Place Value System for 11+ Maths Exam
Place value is knowing the value of all the digits in a number. You can use place values to read, write, compare and order numbers. The place value is the position of each digit in a number. It is determined as ones, tens, hundreds, thousands,ten-thousands and so on, based on their position in the number. For example, consider the number 5968 - the place value of 6 is expressed as 6 tens, or 60. However, the place value of 6 in 9625 is expressed as 6 hundreds, or 600. Hence, despite being the same digit, its value depends on its position in the given numbers.
1.1 Place Value Chart
The Place Value Chart is a useful tool that helps us in finding the place value of each digit in a number. The place value of a digit increases by ten times as we move left on the place value chart and decreases by ten times as we move right from the digit.
1.2 Expanded Form
The expanded form is the process of partitioning numbers into their correct place value.Expanded form is a way to write a number by adding the place value of its digits. For example, the expanded form of
1.3 Reading and Writing Numbers
We read and write numbers using the Place Value Chart. When you read or write numbers, use place value, or the value of a digit based on its position in the number, to read or write the number from left to right.
Consider the following examples for 11+ Maths exam:
Example
Write in words 691,017
Solution: Six hundred ninety-one thousand and seventeen.
Example
Write in words 456.28
Solution: Four hundred fifty-six and twenty-eight hundredths.
Example
Write down the hundreds digit in 6835742.
Solution: 7
Example
Write down the hundredths digit in 542.967
Solution: 6
