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Divisibility by 2510-3-6 and 9

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Grade 5

Unit 1 Lesson 3 and 4


Divisibility by 2, 5, and 10;
and Divisibility by 3, 6, and 9
Objectives:

Know the Know the


divisibility divisibility
rules for 2, 5 rules for 3, 6
and 10 and 9
DIVISION SQUARE
Each row and column
is a division problem.
Complete the math
and write answers in
the empty spaces
Vocabulary Bank

A number n is divisible by a number m if n can be divided by


m without leaving a remainder.

The dividend is the number being divided, while the divisor is


the number by which the dividend is divided.

An amount left after dividing a number is called a remainder


MATH TALE! Today, Kian is assigned to restack the eggs.
He needs to put the eggs in trays such that there
will be an equal number of eggs for each tray, and
there will be no eggs left unstacked. If there are
4,500 eggs he needs to restack, determine the
number of trays he will need if he will put:

2 eggs 5 eggs 10 eggs


per tray per tray per tray
Activity 1
Apply the following color scheme:

For all the boxes containing a


number divisible by 2
For all the boxes containing a
number divisible by 5
For all the boxes containing a
number divisible by 10
Unit 1, Lesson 1
Divisibility by 2, 5, and 10;
and Divisibility by 3, 6, and 9
Divisibility rule for 2
A number is divisible by 2
if its last digit is 0, 2, 4, 6,
or 8. All even numbers are
divisible by 2
Take a look at the numbers on
the board. Which numbers
are divisible by 2?

2468 12760
58644
795 8353
Divisibility rule for 5
A number is divisible
by 5 if its last digit is
5 or 0.
Take a look at the numbers on
the board. Which numbers
are divisible by 5?

143865 6845
1583
9316 34960
Divisibility rule for 10
A number is divisible
by 10 if its last digit is
0.
Take a look at the numbers on
the board. Which numbers
are divisible by 10?

108580 16458
37900
58341 12190
Divisibility rule for 3
A number is divisible by 3
if the sum of its digits can
be divided by 3 without
any remainder.
Divisibility rule for 3
STEP 1: Get the STEP 2: Divide the
sum of the digits sum of the digits
for 3258 by 3 without any
remainder
3+2+5+8 = 18
18÷3 = 6
Divisibility rule for 6
A number is divisible by 6
if it is divisible by 2 and 3.
Divisibility rule for 6
STEP 1: Determine STEP 2: Determine
if the number is even if the number is
or odd. No ODD divisible by 3.
number is divisible
by 6.
2+5+4+4 = 15
2544 is an even
number.
Divisibility rule for 9
A number is divisible by 9
if the sum of its digits can
be divided by 9 without
any remainder.
Divisibility rule for 9
STEP 1: Get the STEP 2: Divide
sum of the digits the sum of the
for 1899 digits by 9

1+8+9+9 = 27 27÷9 = 3
Evaluate
whether the FALSE
statement is
TRUE or TRUE
FALSE.
TRUE
TRUE
FALSE
Divisibility
Rule for 2
A number is divisible
by 2 if its last digit is
0, 2, 4, 6, or 8.
Divisibility Divisibility
Rule for 5 Rule for 10

A number is A number is
divisible by 5 if divisible by 10
its last digit is if its last digit
5 or 0. is 0.
Divisibility Divisibility
Rule for 3 Rule for 6
A number is divisible
A number is by 6 if it is an even
divisible by 3 if the number and the sum
sum of its digits is of its digits is divisible
divisible by 3. by 3. No odd number
is divisible by 6.
Divisibility
Rule for 9
To be divisible by
9, the sum of the
digits of a number
should be
multiples of 9.
Put a check in the
box if the number
on the left is
divisible by the
number on top of
the column.
Otherwise, leave it
blank.
Application
Divisibility by 2, 5 and 10;
and Divisibility by 3, 6 ,and 9
MATH TALE! Today, Kian is assigned to restack the eggs.
He needs to put the eggs in trays such that there
will be an equal number of eggs for each tray, and
there will be no eggs left unstacked. If there are
4,500 eggs he needs to restack, determine the
number of trays he'll need if he will put:

2 eggs 5 eggs 10 eggs


per tray per tray per tray
Answer the questions
Divisibility rule for 2, 5, and 10

A number is
A number is A number is
divisible by 2 if
divisible by 5 if its divisible by 10 if
its last digit is
last digit is its last digit is
0, 2, 4, 6, or 8.
5 or 0. 0.
Divisibility rule for 3, 6, and 9

A number is To be divisible
A number is
divisible by 6 if it is by 9, the sum of
divisible by 3 if
an even number the digits of a
the sum of its
and the sum of its number should
digits is divisible
digits is divisible be multiples of
by 3.
by 3. 9.
Did you know that the
divisibility rule for 7 is
so complicated? It
would be faster to
divide the number by 7.
Grade 5
Unit 1 Lesson 3 and 4
Divisibility by 2, 5 and 10;
and Divisibility by 3, 6 ,and 9
THANK YOU!

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