MATHEMATICS: FORM ONE
NUMBERS
We know that when we count we start 1,2 .... . But there are other numbers like 0, negative
numbers and decimals. All these types of numbers are categorized in different groups like counting numbers, integers,real numbers, whole numbers and rational and irrational numbers according to their properties. all this have been covered in this chapter
Base Ten Numeration
Numbers are represented by symbols called numerals. For example, numeral for the number ten is 10. Numeral for the number hundred is 110 and so on.
The symbols which represent numbers are called digits. For example the number 521 has three
- digits which are 5, 2 and 1. There are only tendigits which are used to represent any number. These digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
The Place Value in each Digit in Base Ten Numeration
Identify the place value in each digit in base ten numeration
When we write a number, for example 521, each digit has a different value called place value. The 1 on the right means 1 ones which can be written as 1 × 1, the next number which is 2 means 2 tens which can be written as 2 × 10 and the last number which is 5 means 5 hundreds which can be written as 5 × 100. Therefore the number 521 was found by adding the numbers 5 × 100 + 2×10+1×1=521.
Note that when writing numbers in words, if there is zero between numbers we use word ‘and’
Example 1
Write the following numbers in words:
- 008
- 99 827 213
- 59 000
Solution
- 7 008 = Seven thousand and eight.
- 99 827 213 = Ninety nine millions eight hundred twenty seven thousand two hundred thirteen.
- 59 000 = Fifty nine thousand.
Example 2
Write the numbers bellow in expanded form.
- 732.
- 1 205.
Solution
- 732 = 7 x 100 + 3 x 10 + 2 x 1
- 1 205 = 1 x 1000 + 2 x 100 + 0 x 10 + 5 x 1
Example 3
Write in numerals for each of the following:
- 9 x 100 + 8 x 10 + 0 x 1
- Nine hundred fifty five thousand and five.
Solution
- 9 x 100 + 8 x 10 + 0 x 1 = 980
- Nine hundred fifty five thousand and five = 955 005.