Mathematics Form 1

Mathematics Form 1Chapter 1.3By Kelvin Combined Operations involvingAddition and SubtractionFor combined operations involving addition and subtraction, calculate from left to right.Worked ExampleFind the value of each of the following.(a) 22 + 18 - 24(b) 230 - 165 + 8

Solution

Problem Solving involvingAddition and SubtractionWorked ExampleA basket contains 32 fruits. 11 are taken out and then 21are added in. How many fruits are there in the basket now?

SolutionUnderstand the problemGiven information:-Number of fruits in the basket = 32Number of fruits taken out = 11Number of fruits added in = 212. Devise a planPerform subtraction followed by addition.

3. Carry out the plan32 - 11 + 21= 21 + 21= 42Therefore, 42 fruits are in the basket now.4. Check

Combined Operations involvingMultiplication and DivisionFor combined operations involving multiplicationand division, calculate also from left to right.Worked ExampleFind the value of each of the following.18 x 7 3(b) 600 8 x 5 Solution

Problem Solving involvingMultiplication and DivisionWorked ExampleSasha, Hakim and Kama bought 20 novelscosting RM16 each. They shared the costequally. Find the amount paid by each of them.SolutionUnderstand the problemGiven information:-Number of novels bought by Sasha, Hakim and Kama = 20Cost of each novels = RM 16Find: Amount paid by each of them2. Devise a planPerform multiplication followed by division.3. Carry out the plan21 x RM16 3= RM 336 3= RM 112The amount paid by each of them wasRM 112.4. Check21 x RM16 = RM3363 x RM 112 = RM336

Combined Operation involving +, -, x andFor combined operations where addition, subtraction, multiplication, and division are involved, perform multiplication and division before addition and subtraction.Worked ExampleSimplify7 x 40 - 10 x 11(b) 48 + 32 x 24 6 -2

Solution

Combined Operations involving Brackets For combined operations involving brackets, work the calculation within the brackets first.Worked ExampleSolve each of the following.(a) 6 x ( 6 - 2 ) ( 9 - 6 )(b) 20 x (2 + 28 4 ) 95Solution(a) 6 ( 6 - 2 ) ( 8 - 2 )= 6 x 4 6= 24 6= 4

(b) 20 x ( 2 + 28 4 ) 95= 20 x ( 2 + 7 ) 95=20 x 9 95= 180 95= 852. Brackets are also operative symbol for multiplication.For example:-( 8 - 3 ) ( 9 - 5 ) -10= ( 5 ) ( 4 ) 10= 20 - 10= 10

Problem Solving involving +, -, x, and Brackets

Worked ExampleAzan and Amir have 7 and 15 bottles of marble.If each bottle has 55 marble in it, Find the totalnumber of marbles.

Solution1. Understand the problemGiven information:Number of bottles bought by Azan = 7Number of bottles bought by Amir = 15Number of marbles in each bottles = 55Find: Total number of marbles

2. Devise a planPerform addition within the brackets and followed by multiplication.3. Carry out the plan( 7 + 15 ) x 55 = 22 x 55

= 1 210Therefore, the total number of marbles is 1 210.4. Check22 - 15 = 71 210 55 = 22

Worked ExampleMr Lee bought 8 Dozens exercise books. He give 26 of them to his daughter. He then distributed the rest evenly to his 3 sons. How many exercise books were given to each of his sons?Solution( 8 x 12 - 21) 3= ( 96 - 21 ) 3= 75 3= 2525 exercise books were given to each of his sons.

End Of The Chapter 3 THANKS FOR SEE THIS CHAPTER. THIS THE LAST OF THE CHAPTER 1.3.

NEXT CHAPTER IS COMING SOON AT 26/2/2016..15