Number – Sequencing and Ordering four digit numbers
Topic: Sequencing and ordering of numbers Sequencing A number sequence is a list of numbers that are linked by a rule. If you work out the rule, you can work out the next numbers in the sequence. Number sequence is a progression or an ordered list of numbers governed by a pattern or rule. Numbers in a sequence are called terms. A sequence that continues indefinitely without terminating is referred to as infinite sequence, whereas a sequence with an end is known as finite sequence. Below are different types of number sequences Ordering Numbers Ordering numbers mean arrangement of numbers either from small to big or from big to small. When we arrange the numbers in an increasing order, it is known as Ascending Order , and when the words are arranged in a decreasing order, and then they are known as Descending Order. Using the comparison techniques learnt in the previous lessons is the key step to knowing how to order numbers. Ascending Order (small to big) Take the following numbers for example: 4567, 1398,1278,1238 Let's first look at the thousands place for each number listed. 4567 1398 1278 1238 By comparison of the thousands place we know that one(1) is the smallest number but three of those numbers begin with one. So the next step is to look at the hundreds place: 1398, 1278, 1238 By comparison we can see that two(2) is the smaller number but again two numbers have two(2) in the hundreds place. Therefore the next step to finding the smallest number is to compare the tens place. 1278, 1238 Looking at both numbers we can clearly see that three(3) is smaller than seven(7) so we can say that 1238 is the smaller number between the two. Now we can put the numbers in Ascending order(smallest to largest). The list of numbers were 4567, 1398, 1278,1238 and following the steps we just did we know that the order they should be sorted in is 1238 1278 1398 4567 Descending Order (Big to Small) Take the following numbers for example: 4567, 1398,1278,1238 Let's first look at the thousands place for each number listed. 4567 1398 1278 1238 By comparison of the thousands place we know that four(4) is the largest number, therefore it would the first number listed. Let's now look at the other three numbers 1398,1278,1238. We can clearly see that all three numbers begin with one (1) hence the next step is to look at the hundreds place. 1398 1278 1238 Three(3) is the smaller number so we know that the next number in the order sequence is 1398. Let's look at the remaining two numbers 1278, 1238 they both have one(1) in the thousands place and two(2) in the hundred place. So we have to look at the tens place: 1278 1238 The larger of the two numbers is seven(7) so we know that the next number in the sequence is 1278. Which means the last number in the sequence should be 1238. The original list is 4567 1398 1278 1238 and the list sorted in descending order is 4567, 1398, 1278 and 1238.