NUMBER SYSTEMS:- Addition
Home
Addition
Subtraction
Multiplication
Division
Types of Numbers
Further Addition
Further Subtraction
Further Multiplication
Further Division
Directed Numbers
Finding Next Number in a Sequence
Temperature Conversion Algorithm
Matrices Addition
Matrices Multiplication
eBook Interactive Content
Parameters
Value a
Value b
Value c
Default Values
1234567
654321
100
User Inputs
To avoid errors when adding a column of numbers, a tidy approach is required. This is especially important because each number has what is called a place value. Those columns to the left of the units progressively increase by a factor of ten as you move to the left, ie, units, tens, hundreds etc. The maximum number that any group of digits can represent is always one less than the heading of the column to its left. Say 99 when the column heading on the left of that number is hundreds or 999,999 when the left column represents millions. A value of 1 in the tens column means ten, as 5 means 5 tens, and 3 in the ten-thousands column represents thirty thousand. As each position to the left is a multiplier of ten it is important that when adding you list all the units then all the tens and then hundreds together etc, and so on. Inserting additional zeros to the right of a number multiplies that number by 10 for each one, ie, 230 is two-hundred and thirty, 2300 is two-thousand-three-hundred. Zeros placed at the high end of a number have no place value and can be ignored or removed. As each column is totalled, those coming to more than 9 will produce a carry. This is then written down under the column to the left and forms part of the addition in that column. For example, say in the tens and units' columns you have 29, 26 and 28 then 9 + 6 + 8 = 23. Three units and two tens. The tens must be carried over and added in the correct column to the left. TEST YOUR UNDERSTANDING: Using a daily newspaper(s), list up to a hundred numbers as they appear beginning on page one, including advertisements and financial pages. Take each value and give it a category i.e. financial, quantity, sales, cost etc. The objective of this assignment is to make you aware of the importance of numbers in your daily lives and just how many we come across them unknowingly throughout out the day. Apply the same thoughts to other numbers such as, car registration, dates etc.