The document outlines a math lesson focused on differentiating between terminating and repeating/non-terminating decimal quotients. It provides examples and exercises for students to identify the types of decimals resulting from various division problems. The objectives include understanding definitions and working through assessment exercises to solidify learning.

1. 6
APRIL P MESIAS
MATH TEACHER

2. TODAY’S LESSON
Differentiating Terminating
from Repeating/Non-
Terminating Decimal
Quotients

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OBJECTIVE:
The learner differentiates
terminating from repeating,
nonterminating decimal
quotients. (M6NS-Ii-119)

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MaTHalinghaga
TERMINATING
Root word
“terminal”
Means
“end/stop/finished”
non
no no no

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Read the problem below.

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What is the average of the boys’
team in decimal?
The average of boys’ team in
decimal is 0.75
The quotient 0.75 is an example of a
terminating decimal. NO REMAINDER

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The quotient 0.75 is a terminating
decimal. A terminating decimal
quotient results when the division
process terminates or stops with a
zero remainder.

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What is the average of the girls’
team in decimal form?
The average of the girls’ team in
decimal is 0.333.
It has always a remainder of 1 no matter
how many zeros you will add in the
dividend. The process never ends.

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The quotient 0.333 is a repeating
non-terminating decimal.
A repeating non-terminating decimal
quotient results when the division process
never ends.It has always a remainder.
A bar (—)is placed on top of the repeating
digit or triple dot (…) .

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11. YOU CAN DO IT !

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Find the quotient. Differentiate whether the quotient is terminating or repeating
non-terminating decimal by putting a check (/) under the corresponding
column. Write your answers in your answer sheet.
EQUATION QUOTIENT TERMINATING REPEATING NON-
TERMINATING
Example 0. 333… /
1. 3 ÷ 15 =
2. 4 ÷ 45 =
3. 9 ÷ 12 =
4. 8 ÷ 12 =
5. 2 ÷ 4 =
0.2
0.08
0.5
0.666…
0.75
/
/
/
/
/

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What is terminating and
repeating/non-terminating
decimal?
What have you learned?

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Generalization

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Solve and identify if the decimal quotient is a
terminating or repeating/non-terminating
decimal. Write T or NT
1. 4.
2. 15 ÷ 9 5. 6 ÷ 21
3. 11 ÷ 2
ASSESSMENT

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1. = 1.75 =T
2. 15 ÷ 9 = 1.666… =NT
3. 11 ÷ 2 = 5.5 =T
4. = 0.545454 =NT
5. 6 ÷ 9 = 0.666… =NT
ANSWER

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Solve and identify if the decimal quotient is a terminating
or repeating/non-terminating decimal.
1. 3 ÷ 20
2. 6 ÷ 11
3. 20 ÷ 12
4. 2 ÷ 6
5. 81 ÷ 48
ASSIGNMENT