Compare how many times the larger number is than the smaller number

### 1.1. Knowledge to remember

__ Problem:__ Line segment AB is 6cm long and line segment CD is 2cm long. How many times longer is the line segment AB than the line segment CD?

*Summary:*

*Solution:*

The length of line segment AB is several times the length of line segment CD:

6: 2 = 3 (times)

Answer: 3 times

### 1.2. Solving Textbook Exercises

**Lesson 1:** Answer the question: In each of the following figures, how many times more blue are there than white circles?

**Solution guide:**

- Count the number of blue circles and the number of white circles.
- Divide the number of blue circles by the number of white circles.

a) There are 6 blue circles and 2 white circles.

The number of blue circles is twice as many white circles as:

6: 2 = 3 (times)

b) There are 6 blue circles, there are 3 white circles.

The number of blue circles is twice as many white circles as:

6: 3 = 2 (times)

c) There are 16 blue circles, there are 4 white circles.

The number of blue circles is twice as many white circles as:

16 : 4 = 4 (times)

**Lesson 2:** In the garden, there are 5 areca trees and 20 orange trees. How many times more orange trees are there than areca trees?

__Solution guide:__

* Summary:*

Areca : 5 trees

Oranges: 20 plants

The number of orange trees is …. times the number of areca trees?

We divide the number of orange trees by the number of areca trees.

*Solution:*

The number of orange trees is twice as many areca trees as:

20 : 5 = 4 (times)

Answer: 4 times.

**Lesson 3:** A pig weighs 42 kg, a goose weighs 6 kg. How many times heavier is the pig than the goose?

__Solution guide:__

*Summary:*

Pig : 42kg

Goose : 6kg

Pig …. times goose?

To find the answer, divide the weight of the pig by the weight of the goose.

*Solution: *

The number of times the pig weighs more than the goose is:

42 : 6 = 7 (times)

Answer: 7 times.

**Lesson 4:** Calculate the circumference

a) Square MNPQ

b) Quadrilateral ABCD.

__Solution guide:__

The perimeter of a shape is equal to the sum of the lengths of its surrounding sides.

a) Perimeter of square MNPQ :

3 + 3 + 3 + 3 = 12 (cm)

(or 3 x 4 = 12 cm)

b) Perimeter of quadrilateral ABCD :

3 + 4 + 5 + 6 = 18 (cm).

Answer: a) 12 cm

b) 18 cm.

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