§2.7 Mixed Exercises

• Wiskunde
• Middelbare school
• vwo
• Leerjaar 1

C2 Numbers & Operations

Mr. Fintelman (FNL)

Tuesday October 22nd

2024

Date	Tuesday October 22nd
Paragraph	§2.7 Mixed Exercises
Pages from the handbook	Pag. 88-89
Subject	Mixed Exercises

Today is the day...

I can already…

1. … divide fractions.

Prior Knowledge

Dividing fractions

−​3​​2​​÷​4​​1​​=

−​5​​2​​÷−​7​​4​​=

Dividing fractions

−​3​​2​​÷​4​​1​​=−​3​​2​​⋅​1​​4​​=

−​5​​2​​÷−​7​​4​​=−​5​​2​​⋅−​4​​7​​=

Dividing fractions

−​3​​2​​÷​4​​1​​=−​3​​2​​⋅​1​​4​​=−​3​​8​​=−2​3​​2​​

−​5​​2​​÷−​7​​4​​=−​5​​2​​⋅−​4​​7​​=​20​​14​​=​10​​7​​

After this lesson, I can…

1. … /do mixed exercises/
   

Goals

An office building has 12 floors. Each floor has 35 office rooms. The caretaker changes 5 lightbulbs on every floor every week.
How many lightbulbs does he change in a year?

Reading exercises

An office building has 12 floors. Each floor has 35 office rooms. The caretaker changes 5 lightbulbs on every floor every week.

How many lightbulbs does he change in a year?

Reading exercises

An office building has 12 floors. Each floor has 35 office rooms. The caretaker changes 5 lightbulbs on every floor every week.

How many lightbulbs does he change in a year?

The caretaker changes 5 lightbulbs per floor every week. There are 12 floors, so every week he changes: 5 × 12 = 60 lightbulbs.

In a year, there are 52 weeks, so the total number of lightbulbs he changes in a year is: 60 × 52 = 3120 lightbulbs.

An English teacher buys textbooks for his class at a price of €7.50 per book. Every book has 60 pages. In total, he pays €225.
How many books did he buy?

Reading exercises

An English teacher buys textbooks for his class at a price of €7.50 per book. Every book has 60 pages. In total, he pays €225.

How many books did he buy?

Reading exercises

An English teacher buys textbooks for his class at a price of €7.50 per book. Every book has 60 pages. In total, he pays €225.

How many books did he buy?

To find the number of books, divide the total amount spent by the price per book:

                                               books.

Thus, the teacher bought 30 books.

​7.50​​225​​=30

Exercise 2abc - Pag. 88

−13−18+5=

38−2⋅6−3=

−5−8⋅−3=

Exercise 2abc - Pag. 88

−13−18+5=−31+5=−26

38−2⋅6−3=38−12−3=23

−5−8⋅−3=−5−(−24)=−5+24=19

Exercise '4b' math snake - Pag. 88

Exercise '4b' math snake - Pag. 88

Exercise 6 - Pag. 88

Calculate the product of hcf(24, 30) and lcm(24, 30).

hcf(24, 30) =

lcm(24, 30) =

Exercise 6 - Pag. 88

Calculate the product of hcf(24, 30) and lcm(24, 30).

hcf(24, 30) = 6

lcm(24, 30) = 120

6⋅120=720

Exercise 9ab - Pag. 89

Calculate or write down not possible (n.p).

​7⋅7​​7−7​​=

​7−7​​7⋅7​​=

Exercise 9ab - Pag. 89

Calculate or write down not possible (n.p).

​7⋅7​​7−7​​=​49​​0​​=0

​7−7​​7⋅7​​=​0​​49​​=n.p.

Exercise 9c - Pag. 89

Calculate or write down not possible.

​7÷−7​​−7⋅7​​+​−7​​7−−7​​⋅7=

Exercise 9c - Pag. 89

Calculate or write down not possible.

​7÷−7​​−7⋅7​​+​−7​​7−−7​​⋅7=

​−1​​−49​​+​−7​​14​​⋅7=

49+−2⋅7=49−14=35

Worktime

You work neatly by…

1. … reading the theory (again) before asking a question to your classmate.
2. … raising a hand before asking a question to the teacher.
3. … if the teacher is busy, remember your question and move on.
   

Help:

Exercises: 1, 2, 3, 4, 6, 8 and 9.

Assignments:

Pages: 88-89

Exercises: 1, 2, 3, 4, 6, 8 and 9.

Assignments from the planning of WEEK 1:

Extra:

Exercises: 5, 7, 10, 11 and 12.

Now I can…

1. … do calculations with negative fractions.

Reflection