**Section 1**:

**1. Quiz on negative number, addition and subtraction of integers**

**2. Multiplication, division and combined operations of integers:**.

- If two numbers have the same sign, their product/quotient is positive
- If two numbers have opposite signs, their product/quotient is negative
- Any integer multiplies 0, the product is 0: a x 0 = 0
- 0/a = 0, given a !=0
- a/0 is undefined
- How about 0/0? https://www.khanacademy.org/math/algebra/introduction-to-algebra/division-by-zero/v/undefined-and-indeterminate
- Combined operation: PEMDAS

**3. Rational numbers: **rational numbers are numbers that can be expressed in the form of a/b, where a and b are integers, and b != 0

**4. Addition, subtraction, multiplication and division of rational numbers**

**5. Home Work:**

- Handout: three pages
- Workbook:
- page 8: 6, 8, 9, 10, 11
~~page 10: 18, 19, 20, 21, 22, 23~~

**Section 2:**

**1. **Quiz next week

**2. Real numbers and use of calculators:**.

- Rational number: can be expressed as a decimal by dividing the numerator of the rational number by its denominator
- Terminating decimal: has a finite number of digits: ⅜, 5/16
- Repeating decimal: 9/11, 7/11
- Irrational number: non-terminating and non-repeating decimals
- Use of calculators

**3. Rounding numbers to decimal places**

- Mark the cut-off point after the desired place value
- Rule of rounding up: the first digit after the cut-off point, is >=5
- Rule of rounding don: the first digit after the cut-off point, is < 5
- Nearest 10, 100, 1000, one million, …
- Nearest tenth, hundredth, or thousandth, …
- 1 decimal place, two decimal places, 3 decimal places, …

**4. Home Work:**

- Handout: two pages
- Workbook:
- page 11: 24, 25, 26, 27, 28, 29
~~page 12-13: 30, 31, 32, 33, 34, 35, 36~~