Lesson 1

1. LESSON 1

2. Visualizing Numbers up to 10 000 000 with emphasis on
numbers 100 001 – 10 000 000
EXPLORE AND DISCOVER!
◦ A group of doctors donated a total of 234 534 kilograms of rice to the
earthquake victims. Can you imagine how big the number 234 534 is?
One way you can imagine is to think of discs to represent the number
shown below.

3. 100 000
100 000
10 000
10 000
10 000
1 000
1 000
1 000
1 000
100
100
100
100
100
1
1
1
1
10
10
10
Two 100 000 Three 10 000 Four 1 000 Five 100 Three 10 Four 1
200 000 30 000 4 000 500 30 4

4. LESSON 2

5. Reading and Writing Numbers up to 10 000 000 in Symbols and in
Words
EXPLORE AND DISCOVER!
◦ The Department of Agriculture distributed 1 456 897 eggplant
seedlings in some farmers in Region IVA.
◦ How do you read and write the number 1 456 897 in words and in
symbol?
◦ The number 1 456 897 is read as “one million four hundred fifty-six
thousand eight hundred ninety-seven”. In symbol it is 1 456 897.

6. LESSON 3

7. Using Divisibility rules for 3, 6 or 9 to find common factors
◦ Explore and Discover!
◦ Nena’s garden has 414 bougainvillea plants. She wants to arrange them in either rows of 3, 6 or 9.
Which are the possible arrangements of the plants?
◦ To solve the problem, you need to know if 3 6 or 9 are factors of 414 or if 414 is divisible by
3, 6 or 9.
◦ Recall the rules:
◦ Divisible by 3: sum of digits of the number is divisible by 3
◦ 414= 4+1+4=9, 9 is divisible by 3,therefore 414 is divisible by 3
◦
◦ Divisible by 6: number is divisible by both 2 and 3
◦ 414 is divisible by 2 and 3, therefore 414 is divisible by 6
◦
◦ Divisible by 9: sum of the digits of the number is divisible by 9
◦ 414= 4+1+4=9, 9 is divisible by 9, therefore 414 is divisible by 9
◦

8. LESSON 4

9. Finds the common multiples and LCM of two - four numbers
using continuous division
Explore and Discover!
◦ Lovelyn and Zerma are going to prepare bouquets with 6 roses to a bouquets and with 8
daisies to a bouquet. What will be the smallest number of roses and daisies that she will need for
their bouquets?
To solve the problem, you need to find the least common multiple or LCM of 6
and 9 using continuous division.
Here’s how you do it.
3 6 9
2 3
LCM = 2 x 3 x 3 = 18
 Notice that 18 is the least common multiple or LCM of 6 and 9. Therefore, the
smallest number of roses and daisies that she will need for her bouquets is 18.
 You do not include when dealing with common multiples.