Back to: MATHEMATICS JSS3
Welcome to JSS3!
We are eager to have you join us in class!!
In today’s class, We will be discussing Whole Numbers. We hope you enjoy the class!
NUMBER BASE CONVERSIONS
People count in twos, fives, twenties etc. Also, the days of the week can be counted in 24 hours. Generally, people count in tens. The digits 0,1,2,3,4,5,6,7,8,9 are used to represent numbers. The place value of the digits is shown in the number example: 395:- 3 Hundred, 9 Tens and 5 Units. i.e. 3X102 + 9 X 101 +5 X 100.
Since the above number is based on the powers of tens it is called the base ten number system i.e. 300 + 90 + 5
Also 4075 = 4 Thousand 0 Hundred 7 Tens 5 Units i.e. 4 x 103 + 0 X 102 + 7 X 101 + 5 X 100 Other Number systems are sometimes used.
For Example: The base 8 system is based on the power of 8. For example: Expand 6478, 265237, 1011012,
(a) 6478 = 6 x 82 + 4 x 81 + 7 X 80 =6 x 64 + 4 x 8 + 7 x 1
(b) 265237 =2 x 74 + 6 x73 + 5 x 72 + 2x 71 + 3 x 70
(c) 1011012= 1 x 25 + 0 x 24 + 1 x 23 + 1 x 22 + 0 x21 + 1 x 20
SELF EVALUATION
Expand The Following
- 4343
- 1011112
CONVERSION TO DENARY SCALE (BASE TEN)
When converting from other bases to base ten the number must be raised to the base and added.
Worked Examples:
Convert the following to base 10
(a) 178
(b) 110112
Solutions:
(a) 178 = 1 X 81 + 7 X 80 = 1 X 8 + 7 X 1 = 8 + 7 = 15
(b) 110112 = 1 X 24 + 1 X 23 + 0 X 22 + 1 X 21 + 1 X 20 = 1 X 16 + 1 X 8 + 0 X 4 + 1 X 2 + 1 X 1
= 16 + 8 + 0 + 2 + 1 = 27
SELF EVALUATION
Convert The Following To Base Ten:
(a) 101002
(b) 21203
CONVERSION FROM BASE TEN TO OTHER BASES
To change a number from base ten to another base
- Divide the base ten number by the new base number.
- Continue dividing until zero is reached
- Write down the remainder each time
- Start at the last remainder and read upwards to get the answer.
Worked Examples:
- Convert 6810 to base 6
- Covert 12910 to base 2
Solutions:
SELF EVALUATION
- Convert 56910 to base 8
- Convert 10010 to base 2
GENERAL SELF EVALUATION
Convert the following to base seven
- 40510
- 87610
Evaluate the following
- 5 – 3 + 4
We have come to the end of this class. We do hope you enjoyed the class?
Should you have any further question, feel free to ask in the comment section below and trust us to respond as soon as possible.
In our next class, we will be talking about Whole Numbers II. We are eager to meet you there.
Pass WAEC, JAMB, POST-UTME & more in One Sitting for FREE!💃
Thank you good class
thanks such a good class
Pls y is it dat in something like 7 × 8°it is =7×1