## Math 6 Chapter 2 Lesson 1: Getting to know negative integers

## 1. Summary of theory

### 1.1. Negative integer

In fact, people also use integers with a minus sign in front. For example, winter temperatures at the top of Mau Son can sometimes drop to -20C. A natural number with a minus sign in front is called a negative integer.

### 1.2. Shaft No.

We represent negative integers on the opposite ray of the number ray. Then we get a number line.

Thus, a number line is a line on which a point 0 is chosen, called the origin, usually chooses the direction from left to right as the positive direction and a unit of length, each natural number is represented by a point on the right. point 0, each negative integer is represented by a point to the left of point 0.

## 2. Illustrated exercise

**Question 1: **People also use integers to indicate the time before BC. For example, the mathematician Pythagoras was born in -570, which means he was born in 570 BC. Write down the number (vowel) indicating the year the first Olympics were held, given that it took place in 776 BC.

__Solution guide__

The first Olympics were held in -776 (negative seven hundred and seventy-six).

**Verse 2: **Draw a number line and show: Points that are two units away from zero, zero units, and two pairs of points equidistant from zero.

__Solution guide__

Points that are two units away from point 0 are 2 and -2, and the distance from zero is zero. Two pairs of points are equidistant from zero, for example: 3 and -3, 4 and -4

**Question 3: **On the number line, point 3 is 3 units away from point 0 in the positive direction, point -3 is 3 units away from point 0 in the negative direction.

Fill in the blanks with the following sentences:

a. Point -2 is far from point 2 is … units in the direction…

b. Point 1 away from point -3 is …. dimensional units….

__Solution guide__

a. Point -2 is 4 units away from point 2 in the negative direction

b. Point 1 is 4 units away from point -3 in the positive direction.

## 3. Practice

### 3.1. Essay exercises

**Question 1:** Draw a number line and indicate:

a) Points located four units away from point 3

b) Points between -4 and 2

**Verse 2:** Arrange the following integers in ascending order:

-54; 65; -35; 0; twelfth; 45; -17

**Question 3: **Arrange the following integers in descending order:

24; -19; -20; 3; 2; -108; -96

### 3.2. Multiple choice exercises

**Question 1: **What is the origin on the number line?

A. Score 0

B. Score 1

C. Score 2

D. Score -1

**Verse 2:** How many units away from point -4 is point 4?

A. 7

B. 8

C. 6

D. 9

**Question 3: **What are the points that are two or three units away from the point?

A. -1

B. 5

C. -1 and 5

D. 1 and 5

**Question 4: **The direction from wrong to right in the number line is called?

A. Negative dimension

B. Positive direction

C. Forward

D. Reverse direction

## 4. Conclusion

Through this lesson Get familiar with negative integers, you need to complete some of the objectives given by the lesson, such as:

- Know what negative integers are.
- How to represent negative integers on the number line.

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