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Solving Problems Involving
Division of Decimals and
Whole Numbers
In the previous lesson,
you have learned how to
Divide Decimals with
Whole Numbers. Let’s
check if you can still
recall it.
In dividing decimals with
whole numbers, the
following steps are to be
considered:
•Step 1: Divide just like dividing whole
numbers. Continue dividing until the
difference is equal to zero.
•Step 2: Now put the decimal point in the
answer directly above where the
dividend’s decimal point is placed.
•Step 3: Check. Multiply the quotient and
the divisor. The product must be equal to
the dividend.
•Step 1: Divide just like dividing whole
numbers. Continue dividing until the
difference is equal to zero.
•Step 2: Now put the decimal point in the
answer directly above where the
dividend’s decimal point is placed.
•Step 3: Check. Multiply the quotient and
the divisor. The product must be equal to
the dividend.
3.6 ÷ 4 =
•Find the quotients
of the following
problems.
2. 0.56 ÷ 7 =
3. 9.3 ÷ 3 =
4. 0.25 ÷ 5 =
5. 0.8 ÷ 2 ═
From the previous lessons, you were
taught on how to divide whole numbers
with quotients in decimal form. In this
lesson, we will deal with solving
problems involving division of decimals
and whole numbers. And just as there is
a correct way to divide whole numbers
with quotients in decimal form, there is
a correct way as well on how to divide
decimals and whole numbers involved in
a word problem.
Activity 1: Read and comprehend
the problem.
•Mang Estong operates a
computer shop. Elmer is one
of his regular customers and
usually pays ₱128.80 for 4
hours of surfing the Internet
for his projects and
assignments. How much is
the hourly rate at Mang
Estong’s shop?
In solving a word problem,
all you need to remember
and strictly observe is the
Four-Step Method below.
1.) Understand
- Know what is
asked.
- Identify the relevant
facts
2.) Plan – Choose the
operation or the
formula to use.
3.) Solve – Perform
the strategy.
4.) Check - Verify if
the answer is correct.
- State the complete
answer.
Step 1: Understand
● Know what is asked.
Step 1: Understand
● Know what is asked.
The hourly rate at Mang
Estong’s computer shop
Step 1: Understand
● Know the given facts. .
Step 1: Understand
● Know the given facts. .
● ₱128.80.40; 4 hours
Step 2: Plan
●Determine the
operation or
formula to use:
Step 2: Plan
●Determine the
operation or
formula to use:
Division
Step 2: Plan
●Determine the
operation or
formula to use:
Division
Step 3: Solve
● Show how the solution is done.
Amount paid for 4 hours of
Internet usage (₱ 128.80) ÷ 4
hours = Rate per hour
So ₱128.80 ÷ 4 = ₱32.20 hourly
rate at Mang Estong’s computer
shop
Step 3: Solve
● Show how the solution is done.
Amount paid for 4 hours of
Internet usage (₱ 128.80) ÷ 4
hours = Rate per hour
So ₱128.80 ÷ 4 = ₱32.20 hourly
rate at Mang Estong’s computer
shop
Step 4: Check and Look
Back
● You can use a calculator to
check your answer.
● State the complete answer.
Therefore, the rate per hour at
Mang Estong’s computer shop
is ₱32.20.
Step 4: Check and Look
Back
● You can use a calculator to
check your answer.
● State the complete answer.
Therefore, the rate per hour at
Mang Estong’s computer shop
is ₱32.20.

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Solving Problems Involving Division of Decimals and Whole MATH 5 MODULE 13.pptx

  • 1. Solving Problems Involving Division of Decimals and Whole Numbers
  • 2. In the previous lesson, you have learned how to Divide Decimals with Whole Numbers. Let’s check if you can still recall it.
  • 3. In dividing decimals with whole numbers, the following steps are to be considered:
  • 4. •Step 1: Divide just like dividing whole numbers. Continue dividing until the difference is equal to zero. •Step 2: Now put the decimal point in the answer directly above where the dividend’s decimal point is placed. •Step 3: Check. Multiply the quotient and the divisor. The product must be equal to the dividend.
  • 5. •Step 1: Divide just like dividing whole numbers. Continue dividing until the difference is equal to zero. •Step 2: Now put the decimal point in the answer directly above where the dividend’s decimal point is placed. •Step 3: Check. Multiply the quotient and the divisor. The product must be equal to the dividend.
  • 6. 3.6 ÷ 4 = •Find the quotients of the following problems.
  • 7.
  • 8. 2. 0.56 ÷ 7 = 3. 9.3 ÷ 3 = 4. 0.25 ÷ 5 = 5. 0.8 ÷ 2 ═
  • 9. From the previous lessons, you were taught on how to divide whole numbers with quotients in decimal form. In this lesson, we will deal with solving problems involving division of decimals and whole numbers. And just as there is a correct way to divide whole numbers with quotients in decimal form, there is a correct way as well on how to divide decimals and whole numbers involved in a word problem.
  • 10. Activity 1: Read and comprehend the problem. •Mang Estong operates a computer shop. Elmer is one of his regular customers and usually pays ₱128.80 for 4 hours of surfing the Internet for his projects and assignments. How much is the hourly rate at Mang Estong’s shop?
  • 11. In solving a word problem, all you need to remember and strictly observe is the Four-Step Method below.
  • 12. 1.) Understand - Know what is asked. - Identify the relevant facts
  • 13. 2.) Plan – Choose the operation or the formula to use.
  • 14. 3.) Solve – Perform the strategy.
  • 15. 4.) Check - Verify if the answer is correct. - State the complete answer.
  • 16. Step 1: Understand ● Know what is asked.
  • 17. Step 1: Understand ● Know what is asked. The hourly rate at Mang Estong’s computer shop
  • 18. Step 1: Understand ● Know the given facts. .
  • 19. Step 1: Understand ● Know the given facts. . ● ₱128.80.40; 4 hours
  • 20. Step 2: Plan ●Determine the operation or formula to use:
  • 21. Step 2: Plan ●Determine the operation or formula to use: Division
  • 22. Step 2: Plan ●Determine the operation or formula to use: Division
  • 23. Step 3: Solve ● Show how the solution is done. Amount paid for 4 hours of Internet usage (₱ 128.80) ÷ 4 hours = Rate per hour So ₱128.80 ÷ 4 = ₱32.20 hourly rate at Mang Estong’s computer shop
  • 24. Step 3: Solve ● Show how the solution is done. Amount paid for 4 hours of Internet usage (₱ 128.80) ÷ 4 hours = Rate per hour So ₱128.80 ÷ 4 = ₱32.20 hourly rate at Mang Estong’s computer shop
  • 25. Step 4: Check and Look Back ● You can use a calculator to check your answer. ● State the complete answer. Therefore, the rate per hour at Mang Estong’s computer shop is ₱32.20.
  • 26. Step 4: Check and Look Back ● You can use a calculator to check your answer. ● State the complete answer. Therefore, the rate per hour at Mang Estong’s computer shop is ₱32.20.

Editor's Notes

  1. Note: To know what is being asked in a word problem, all you have to do is to focus and analyze on the last statement of the problem that is in question form.
  2. Note: To know what is being asked in a word problem, all you have to do is to focus and analyze on the last statement of the problem that is in question form.
  3. Note: These are the important information you need to pick-up in a word problem and usually the ones that are needed to solve the problem. These can be presented in a digit or word form.
  4. Note: These are the important information you need to pick-up in a word problem and usually the ones that are needed to solve the problem. These can be presented in a digit or word form.
  5. Note: In the sample word problem, it is given that the total amount being paid by Elmer for 4 hours at Mang Estong’s computer shop totaled to ₱128.80. So, to know the hourly rate of the shop, the total amount paid should be divided equally into four. That explains why we need to use division for the operation.
  6. Note: In the sample word problem, it is given that the total amount being paid by Elmer for 4 hours at Mang Estong’s computer shop totaled to ₱128.80. So, to know the hourly rate of the shop, the total amount paid should be divided equally into four. That explains why we need to use division for the operation.
  7. Note: In the sample word problem, it is given that the total amount being paid by Elmer for 4 hours at Mang Estong’s computer shop totaled to ₱128.80. So, to know the hourly rate of the shop, the total amount paid should be divided equally into four. That explains why we need to use division for the operation.
  8. Note: In the sample word problem, it is given that the total amount being paid by Elmer for 4 hours at Mang Estong’s computer shop totaled to ₱128.80. So, to know the hourly rate of the shop, the total amount paid should be divided equally into four. That explains why we need to use division for the operation.
  9. Note: In the sample word problem, it is given that the total amount being paid by Elmer for 4 hours at Mang Estong’s computer shop totaled to ₱128.80. So, to know the hourly rate of the shop, the total amount paid should be divided equally into four. That explains why we need to use division for the operation.
  10. Note: In the sample word problem, it is given that the total amount being paid by Elmer for 4 hours at Mang Estong’s computer shop totaled to ₱128.80. So, to know the hourly rate of the shop, the total amount paid should be divided equally into four. That explains why we need to use division for the operation.