1718 WB1Y CH4+8 Lesson 5

• Wiskunde
• Middelbare school
• vwo
• Leerjaar 1

Which exercises would you like to discuss on the board?

What number should be written on the dots?

2 x 2 x 2 x 2 x 2 =

2​...​​

In , which number is the base and which number is the exponent?

2​5​​

1. base = 2 exponent = 5
2. base = 5 exponent = 2
3. base = 2 exponent = 32
4. base = 5 exponent = 25

More on powers

What happens if you multiply powers with the same base?

More on powers

More on powers

W


When multiplying powers with the same base,
you add the exponents

What did you learn in CH4?

- Squaring numbers and raising numbers to a power
- Order of operations (notation!!!)
- Adding and subtracting fractions / decimal numbers
- Multiplying fractions / decimal numbers
- Calculating a fraction / percentage of an amount
- Simplifying fractions
- Rewriting fractions <--> percentages <--> decimal numbers
- The words: fraction, numerator, denominator, base, exponent

CH8: Negative Numbers

In Chapter 8 we will continue to do calculations that follow the order of operations and use fractions and decimal numbers, but that will also include negative numbers.
A good way to think of negative numbers is to think about temperatures: If it is freezing outside, the temperature could be 10 degrees below zero: it is - 10 (minus ten) degrees.

Number line

If we put positive and negative numbers on a horizontal
number line, the negative numbers are written on the left
of zero and the positive numbers are written on the right of zero.
If you use a vertical number line, the positive numbers are
written above the zero and the negative numbers below zero.

Opposite numbers

Opposite numbers are numbers that are the same distance away from zero, but on the other side of zero.

-3 and 3 are opposite numbers                  -0.8 and 0.8 are opposite numbers

Greater than >
Less than <

You can say that 5 is greater than 3, you write:      5 > 3
You can say that 2 is less than 8, you write:              2 < 8
The open side of the > or < sign always faces the greater number of the two.
As a rule we say: the further to the right a number is on the number line, the greater it is.

Greater than >
Less than <

As a rule we say: the further to the right a number is on the number line, the greater it is. That means all negative numbers are less than all positive numbers.
- 2 is further to the right than -5,
so - 2 is greater than -5, you can write:                -2 > -5

Glossary §8.1
the temperature falls
the temperature rises

sequence (a row of numbers that often have regularity)

distance

whole number (examples: 2, 7, -25, -8: not a fraction or decimal number)

de temperatuur daalt
de temperatuur stijgt

reeks (een rij getallen die vaak regelmaat vertonen)

afstand

geheel getal

Homework Tuesday 9/10

Make and correct:
- Chapter 4: 49, 50, 51
- Chapter 8: 1, 3, 4, 6, 7