DIVISION OF DECIMALS By Teacher Gel. A. Finding the quotient using the relationship between Decimals and Fractions. Example 1.) 1.5 ÷ 3.

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Presentation transcript:

DIVISION OF DECIMALS By Teacher Gel

A. Finding the quotient using the relationship between Decimals and Fractions. Example 1.) 1.5 ÷ 3

Solution 1.5 ÷ 3 = 15/10 ÷ 3/1 = 15/10 x 1/3 = 5/10 = 0.5

2.) 3.24 ÷ 4 = 324/100 ÷ 4 = 324/100 x ¼ = 81/100 = 0.81

Finding the quotient by long division. Example 1.) 5.14 ÷ 2

Solution Solution 2 )

Solving Word Problems involving the division of decimals.

Example 1.) The total mass of 5 identical boxes is kg. What is the mass of each box? A. Given 1. The total mass of 5 identical boxes is kg.

B. Required 1. The mass of each box. C. Solution Let MB = Mass of each box TMB = Total mass of the 5 boxes. Then, MB = TMB ÷ 5 = kg ÷ 5 MB = 2.59 kg

D. Answer The mass of each box is 2.59 kg.

2.) The length of 1 inch is about 2.5 centimeters. If boy’s waist measures 60 centimeters, how much does it measures in inches?

COMBINED OPERATIONS OF DECIMALS

Example 1.) ( 0.63 x 12)= = ) ( 19.8 ÷ 6 ) – ( 0.35 x 8.1) = 3.3 – = 0.465

SOLVING WORD PROBLEMS APPLYING THE COMBINED OPERATIONS ON DECIMALS

Example 1.) John bought kg of grapes. He gave 3.5 kg of the grapes to his mother. Then, he divided the remaining grapes equally among his 25 cousins. How many kilograms of grapes did each cousin get?

A. Given 1.) John bought kg of grapes. 2.) The 3.5 kg of the grapes was given to his mother. 3.) He divided the remaining grapes equally among his 25 cousins.

B. Required 1.) The mass of grapes each cousin got in kilograms.

C. Solution Let MGBJ = The mass of the grapes bought by John. MGJGM= Mass of the grape John gave to his mother.

DRGEC – The division of the remaining grapes equally among his 25 cousins. MGECG – The mass of the grapes each cousin got in kilograms. DRGEC – The division of the remaining grapes equally among his 25 cousins. MGECG – The mass of the grapes each cousin got in kilograms.

MGECG = ( MGBJ – MGJGM) ÷ DRGEC = (12.85 – 3.5) ÷ 25 = 9.35 ÷ 25 = kg of grapes D. Answer Each cousin got kg of grapes.

2.) 50.4 kg of rice P and kg of rice Q are mixed and packed into bags of 95 kg each. How many of the bags of rice can be packed in total?

A bottle of shampoo costs 8.75 Baht and a bottle of hair conditioner costs 8.75 Baht more than the bottle of shampoo. If John purchase 5 bottles of shampoo and 5 bottles of hair conditioner, how much money will he have to pay?