Mathematics - Quarter 1 - Divisible by 4, 8, 11, 12

Mathematics 5 Quarter 1

Week 2

Lesson 1

​Divisibility Rules for 4, 8, 11 and 12 to Find the Common Factors of Numbers

Lesson 2

Solving Problems Involving Divisibility rules for 2, 3,4, 5, 6, 8, 9, 10, 11, and 12

​Hello there,

LITTLE WIZARDS!!!

​ARE YOU

​READY?!?

​Let's have a short REVIEW!!!

Multiple Choice

The number is divisible by 2 if it ends with 0, 2, 4, 6, and 8, or it is an odd number.

• TRUE

• FALSE

Multiple Choice

A number is divisible by 5 if it ends with 5 and 0.

• TRUE

• FALSE

Multiple Choice

A number is divisible by 10 if it ends in 2 and 0.

• TRUE

• FALSE

Multiple Choice

To what number/s is 2950 divisible?

• 2 and 5

• 5 and 10

• 2, 5, and 10

• 10 only

Multiple Choice

In the divisibility rule for 3, the sum of the digits of the number is divisible by 3.

• TRUE

• FALSE

Multiple Choice

The number is divisible by 6 if it is divisible by both 2 and 3.

• TRUE

• FALSE

Multiple Choice

A number is divisible by 9 if the sum of the digits of the number is divisible by 9.

• TRUE

• FALSE

Multiple Choice

Each group must have 3 members. How many groups can we have if there are 72 pupils in a class?

• 22

• 23

• 24

• 25

Multiple Choice

Can we divide 316 by 6?

• YES

• NO

Multiple Choice

How many 9s are there in 108?

• 10

• 11

• 12

• 13

​THAT WAS GREAT!!!

​Last year, a chewing gum company produced 7,864 packs of gum. The company produced the same number of packs of each flavor of gum. How many different flavors of gum could the company have produced?

Source: ​IXL | Divisibility rules: word problems | 5th grade math

​Now, let us discuss about the other divisibility rules.

​​Last year, a chewing gum company produced 7,864 packs of gum. The company produced the same number of packs of each flavor of gum. How many different flavors of gum could the company have produced?

WHAT IS ASKED IN THE PROBLEM?

​​Last year, a chewing gum company produced 7,864 packs of gum. The company produced the same number of packs of each flavor of gum. How many different flavors of gum could the company have produced?

WHAT IS ASKED IN THE PROBLEM?

The total number of different flavors of gum the company could have produced.

​​Last year, a chewing gum company produced 7,864 packs of gum. The company produced the same number of packs of each flavor of gum. How many different flavors of gum could the company have produced?

WHAT IS/ARE THE GIVEN FACT/S?

​​Last year, a chewing gum company produced 7,864 packs of gum. The company produced the same number of packs of each flavor of gum. How many different flavors of gum could the company have produced?

WHAT IS/ARE THE GIVEN FACT/S?

7,864 packs of gum

​​Last year, a chewing gum company produced 7,864 packs of gum. The company produced the same number of packs of each flavor of gum. How many different flavors of gum could the company have produced?

WHAT IS THE OTHER NEEDED DETAIL TO SOLVE THE PROBLEM?

​​Last year, a chewing gum company produced 7,864 packs of gum. The company produced the same number of packs of each flavor of gum. How many different flavors of gum could the company have produced?

WHAT IS THE OTHER NEEDED DETAIL TO SOLVE THE PROBLEM?

The company produced the same numer of packs of each flavor of gum.

​​Last year, a chewing gum company produced 7,864 packs of gum. The company produced the same number of packs of each flavor of gum. How many different flavors of gum could the company have produced?

WHAT IS THE OPERATION TO BE USED?

​​Last year, a chewing gum company produced 7,864 packs of gum. The company produced the same number of packs of each flavor of gum. How many different flavors of gum could the company have produced?

WHAT IS THE OPERATION TO BE USED?

Division

​​Last year, a chewing gum company produced 7,864 packs of gum. The company produced the same number of packs of each flavor of gum. How many different flavors of gum could the company have produced?

WHAT IS THE SOLUTION?

​7,864

• - The last two digits is divisible by 4

• - The last 2 digits are zeros

The divisibility rule for 4 says that a number is divisible by 4 if:

​7,864

The last 2 digits of 7,864 is 64, and it is divisible by 4. Therefore, the answer is:

7,864 ÷ 4 = 1,966

​Can we also divide 7,864 by 8? 11? 12?

​Divisibility Rule for 8

- The last 3 digits is divisible by 8

- The number is ending in three zeros

Example:

​ 9216, 1000, 12000

​Divisibility Rule for 11

The difference between the sum of the digits in odd places and the sum of the digits in even places in either 0 or number divisible by 11.

Example:

​ 28413 (2 + 4 + 3)

​(2+4+3) - (8+1) = 0

​Divisibility Rule for 12

Any number that is divisible by both 3 and 4

Example:

​7980 is divisible by 3 and 4

​7980 ÷ 3 = 2660

​7980 ÷ 4 = 1995

​Let us check if 7,864 is divisible by 8.

The last 3 digits "864" is divisible by 8 (864 ÷ 8 = 108), therefore, 7,864 is divisible by 8.

​Let us check if 7,864 is divisible by 11.

7864

(7 + 6) - (8 + 4) = 1

​

​Let us check if 7,864 is divisible by 12.

7864 ÷ 3 = 2621.33 X

​

​ 7864 ÷ 4 = 1966 /

Let us have the next lesson:

Solving Problems Involving Divisibility rules for 2, 3,4, 5, 6, 8, 9, 10, 11, and 12​

Multiple Choice

Farmer Bob has 276 onions to sell. He wants to put the same number of onions in each bag without any onions left over. How many onions could Farmer Bob put in each bag?

• 2

• 9

• 5

• 10

Multiple Choice

A dish company needs to ship an order of 190 glass bowls. The company will put the bowls into several boxes. Each box must contain the same number of bowls. How many boxes could the company use for the order?

• 3

• 4

• 6

• 10

Multiple Choice

A warehouse holds 8,004 shoeboxes. Each aisle holds the same number of boxes. How many aisles could there be?

• 2

• 5

• 9

• 10

Multiple Choice

Cindy made 250 greeting cards to sell. She will sell the cards by the box, with the same number of cards in each box and no cards left over. How many cards could Cindy put in each box?

• 4

• 5

• 6

• 9

Multiple Choice

There are 924 questions on a quiz show. Each category has the same number of questions. How many categories could there be on the show?

• 5

• 6

• 9

• 10

You are absolutely

​GREAT

​today!!!

​Until next time...