Multiplying Decimals and Mixed Decimals with Factors Up to 2 Decimal Places

At the end of the lesson, the learners are expected to:

*multiply decimals and mixed decimals with factors up to 2 decimal places (M6NS-Ie-111.3)

LET US READ:

To the left of the point

Are the ones, tens, hundreds

To the right of the point

Are tenths and hundredths

Thousandths, ten thousandths

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LET US READ:

The further you go

Means you're representing smaller parts of the number that you know.

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Read the situation:

The school hosted a singing contest. The scores of two contestants in the Finals are shown in the table below:

Answer the following questions.

1. What is Jo's total score? What is Jen's total score?

2. Who won between Jo and Jen?

3. How many more points should the non-winner have scored to tie with the winner?

The First Man on the Moon

Do you know how much we weigh on the Moon?

To find out, we need to multiply our weight on Earth by approximately 0.17 so we would know our weight on the Moon.

"Louis, an astronaut, will travel to the moon to do some explorations on its surface. He weighs 63 kg here on Earth. What would be his weight when he lands on the moon?"

Do you think his weight on the moon is more than 10 kg? What is the most it could be? Could it be 12 kg?

Think-Pair-Share

63 x 0.17 = 10.71 kg

Give the exact product of the following:

6.3 x 0.17 63 x 1.7

0.63 x 0.17 6.3 x 1.7

How did you know where to place the decimal point in each product?

To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

Find each product.

1. 22.7 x 0.08

2. 4.3 x 0.9

3. 6.28 x 0.58

4. 4.53 x 0.77

5. 78.5 x 1.2

Encircle the mathematical statement that gives the greater product.

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1.) 0.29 x 0.8 0.92 x 0.08

2.) 5.4 x 0.17 0.45 x 7.1

A student assistant in a university earns P35 per hour. The table below shows the number of hours she worked each day during a certain week.

How much did she earn each day?

How much did she earn in that week?

How do we multiply decimals and mixed decimals?

How do you know where to place the decimal point in the product?

What have you learned?

Complete each statement.

1. The product of 2.5 and 3.45 is _____ .

2. 18.72 times 2.9 is _______.

3. 2.35 x 1.6 = ______ .

4. 24.56 multiplied by 3.5 is equal to ______ .

5. When 3.57 is multiplied by 14.2, the number of decimal places in the product is _____because _______.

Put the decimal point in the correct place in the product.

1.) 1.2 x 6 = 7 2

2.) 12.4 x 0.78 = 9 6 7 2

3.) 3.34 x 1.4 = 4 6 7 6

4.) 2.3 x 12.3 = 2 8 2 9

5.) 2.34 x 1.23 = 2 8 7 8 2

What have you learned?

Multiplying Decimals and Mixed Decimals with Factors Up to 2 Decimal Places

At the end of the lesson, the learners are expected to:

*multiply decimals and mixed decimals with factors up to 2 decimal places (M6NS-Ie-111.3)

LET US READ:

1. multiply

2. multiplier

3. multiplicand

4. product

5. decimal point

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Show your answers to the following using your drill boards.

2.4 x 6

23.9 x 1.1

8.25 x 0.43

73 x 14.2

23.4 x 1.25

How do we multiply decimals and mixed decimals?

How do you know where to place the decimal point in the product?

• Who among you do a lot of exercise?
• What activities do you engage in to make yourself physically fit?
• Why is it important for us to exercise?
• What benefits do we get from it?

Lola Patring keeps her body healthy by walking every day. She walks at a rate of 25.4 meters per minute. How far can she walk in 4.75 minutes?

What does Lola Patring do to make her body healthy? How far can she walk in a minute? What is the problem asking us to do?

Think-Pair-Share

25.4 x 4.75 = 120.65m

What do you notice between the number of decimal places in the factors and the number of decimal places in the product?

You can drop the zeros on the right once the decimal point has been placed in the product.

Example:

25.4 x 4.75 = 120.650m

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25.4 x 4.75 = 120.65m

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Fred and Perry are shown the following statement: 308 x 10.25 = ______

Fred thinks that the exact answer can be read up to the ten thousandths place. But, Perry thinks it would be easier to read it until the hundredths place only. Which of them is correct? Why?

The butterfly collector measures the wings of a butterfly and finds that the length is 0.79 dm. If 25 butterflies have the same length of wings, what is the total length of all the wings?

Mother bought 10.5 kilos of sugar at P52.95 a kilo. How much did she pay for it?

• How do we multiply decimals and mixed decimals?
• How do you know when to annex or drop zeros in the decimal product?

What have you learned?

A swimmer can swim 50.2 meters in 1 minute. How far can he swim in:

1.) 0.5 minute?

2.)1.25 minutes?

3.) 3.75 minutes?

4.) 10.25 minutes?

5.) half an hour?

Read, analyze, and solve each problem. Show your complete and neat solution.

1) In April, a small business establishment spent an average of P175.25 daily on electricity. How much did it pay for electricity during that month?

2) A carpenter is computing for the area of each room in the house that they are constructing. Help him complete the table below.

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What have you learned?

Multiplying Decimals Up to 2 Decimal Places by 0.1, 0.01, 10 and 100 Mentally

At the end of the lesson, the learners are expected to:

*multiply mentally decimals up to 2 decimal places by 0.1, 0.01,10, and 100 (M6NS-Ie-111.4)

LET US READ:

1. thirty-four and seven tenths

2. six hundred fifty-five thousandths

3. one thousand three hundred twenty-one ten thousandths

4. seventy-eight hundredths

5. four and two thousandths

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Show your answers to the following using your drill boards.

23 x 1

23 x 10

23 x 100

23 x 1000

23 x 10000

What is a quick way to get the answer when a whole number is multiplied by 10, 100, or 1000 (or even 10 000)?

Have you tried selling items to a junkshop before?

What items have you sold?

Is it good that we sell items to junkshops? Why?

Mang Ambo sold copper wire to the nearest junkshop. The table below shows the packs of copper wires he sold.

• How much is 1 kg of copper wire?
• How will Mang Ambo find the amount he will be paid for each pack?

Think-Pair-Share

Study the following:

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C. P45.75 x 10 = P457.50

D. P45.75 x 100 = P4,575.00

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• When you multiply a decimal by 10 or 100, what do you notice about the multiplicand and the product?
• What do you observe about their digits?

In multiplying decimals by 0.1 or 0.01, move the decimal point of the other factor to the left by the number of decimal places in 0.1 and 0.01. The resulting number is the product.

Examples:

1. 0.2 x 0.1 = 0.02 1. 0.3 x 0.01 = 0.003

2. 0.23 x 0.1 = 0.023 2. 8.5 x 0.01 = 0.085

3. 8.15 x 0.1 = 0.815 3. 56.2 x 0.01 = 0.562

4. 21.4 x 0.1 = 2.14 4. 391.5 x 0.01= 3.915

5. 146.25 x 0.1 = 14.625 5. 429.15 x 0.01 = 4.2915

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In multiplying a decimal by a power of 10, move the decimal point of the decimal factor by the same number of places to the right as the number of zeros in the factor which is a power of 10.

Annex zero when necessary to complete the number of digits in the product.

Examples:

1. 0.7 x 10 = 7 1. 0.5 x 100 = 50
2. 0.21 x 10 = 2.1 2. 0.75 x 100 =75
3. 42.52 x 10 = 425.20 3. 421.5 x 100 = 42150

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Complete the following puzzle.

ACROSS

1.) 1.436 x 100

2.) 45.38 x 10

DOWN

1) 164 x 0.1

3.) 10 x 3.83

4.) 62.8 x 0.1

Mang Ambo found out that another junkshop buys copper wire at P48.50 per kg. How much more could he have earned if he sold his 4 packs of copper wire to this junkshop than the other one?

When is it useful to compute products mentally?

• How do we multiply a decimal by 10 or 100? What is a quick way to get the answer mentally?
• How do we multiply a decimal by 0.1 or 0.01? What is a quick way to get the answer mentally?

What have you learned?

Find the product mentally.

1.) 8.4 x 10

2.) 4.35 x 0.1

3.) 134.23 x 0.01

4.) 0.24 x 100

5.) 1.23 x 0.1

Complete each table by following the rule.

Rule: Multiply by 0.1

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What have you learned?

(Do this also for multiplying by 0.01, 10 and 100.)

Solving Routine Problems Involving Multiplication of Decimals and Mixed Decimals Including Money Using Appropriate Problem

At the end of the lesson, the learners are expected to:

*solve routine problems involving multiplication of decimals and mixed decimals including money using appropriate problem-solving strategies. (M6NS-Ie-113.2)

LET US READ:

1. one and two hundred eighteen thousandths

2. ninety-nine thousandths

3. thirty-six and forty-two ten thousandths

4. twenty-seven hundredths

5. five and five thousand three hundred sixty-eight ten thousandths

Show your answers to the following using your drill boards.

10 x 0.56

4.63 x 0.1

2.36 x 0.01

0.36 x 0.001

• How do we multiply decimals and mixed decimals by 10 and 100?

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• How do we multiply decimals and mixed decimals by 0.1 and 0.01?

• Do your parents sometimes ask you to buy goods in the market or in the sari-sari store?
• What items do you usually buy?
• How do you feel when your parents ask you to buy something in the market or in the sari-sari store?
• Why is it important to help your parents?

Joan went to the market to buy fish to be cooked by her mother for lunch. She bought 2.5 kilos of tilapia at P110 per kilo. How much did she pay for it?"

Read, analyze and solve.

Mother bought 15.75 kilos of flour for making trays of polvoron. If each kilo of flour costs P45.50, how much did she pay for it?

In solving routine problems, use POLYA’S 4 Steps, UNDERSTAND, PLAN, SOLVE and CHECK.

• Designed by George Polya nearly 100 years ago. It is a method to solve all kinds of problems:

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Read, analyze, and solve this problem.

The classroom is 12.5 meters long and 7.25 meters wide. What is its area?

Read, analyze and solve.

How much will a construction company pay for a heavy equipment in 8.75 hours at the rate of P2,500 per hour?

How do we solve word problems involving multiplication of decimals and mixed decimals?

What have you learned?

Read, analyze and solve. Show your complete and neat solution.

Jason earns P380.65 daily. His sister earns 1.5 times what he earns daily. How much does his sister earn in a day?

Read, analyze and solve. (Workbook in Math 6, Apply your skills, number 1, page 56)

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Tickets for adult cost P120.00 each while those for children 12 years below cost half as much as that of an adult ticket. What is the cost of 5 tickets for adults and 8 tickets for children?

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What have you learned?

Solving Non-Routine Problems Involving Multiplication of Decimals and Mixed Decimals Including Money Using Appropriate Problem

At the end of the lesson, the learners are expected to:

*solve non-routine problems involving multiplication of decimals and mixed decimals including money using appropriate problem-solving strategies. (M6NS-Ie-113.2)

LET US READ:

1. forty-four and two hundred seventeen thousandths

2. two hundred one and thirty-two thousandths

3. forty-seven and one hundred one thousandths

4. fifteen and three thousand one hundred thirty-three ten thousandths

5. twenty-seven and fourteen hundredths

• How do we solve such word problems?
• What is Polya’s 4 Steps?

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• Do you find the problem in the previous lesson interesting and challenging?
• Have you experienced similar situations in real life?

The area of a rectangular room is 24 square meters. What could be the possible dimensions of the room?

Length x Width=Area

How is this problem similar to/different from the problems we solved yesterday?

In solving routine problems, use POLYA’S 4 Steps, UNDERSTAND, PLAN, SOLVE and CHECK.

• Designed by George Polya nearly 100 years ago. It is a method to solve all kinds of problems:

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Write the number sentence, then solve.

The rental for a Tamaraw FX is P3,500 a day. What will it cost you to rent it for 3.5 days?

Why is it important for you to be capable of solving different types of problems?

How do we solve word problems involving multiplication of decimals and mixed decimals?

What have you learned?

Read, analyze and solve. Show your complete and neat solution.

Emily plans to make a 4.5m-by-4.5m square garden in her backyard. But due to lack of space, she decides to make it rectangular instead, while covering the same area. What could be the possible dimensions of her garden?

Read, analyze and solve.

Luis has P25, made up of 10-centavo and 25- centavo coins. How many of each kind could he possibly have?

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What have you learned?