Chapter 1
Decimals
Part 1
Day…..
1 – Multiplying Decimals by Whole Numbers
2 – Multiplying Decimals by Decimals
3 – Dividing Decimals by Whole Numbers
4 - Dividing Decimals by Decimals
5 – Exploring Decimals
Day 1
Bell Work
The Steven’s Family drove 258 miles a day
for 3 days. How many miles did the drive in
all?
Justify your answer.
If they continued to travel at this rate, how
many miles would they drive in a week?
Vocabulary
Compatible numbers- numbers that are easily multiplied or divided mentally.
Decimal -
a representation of a real number using the base ten and decimal
notation, such as 201.4, 3.89, or 0.0006. (Part of a Whole)
Dividend-
The amount being divided
Divisor -
The number you divide by
Estimate-
a reasonable guess
Factors-
Numbers being multiplied in a multiplication equation
Product-
the answer to a multiplication equation
Quotient-
the answer to a division equation
Let’s Review
• Place Value
• Multiplication
Place Value
Multiplication
• Quick Check: Complete problems 1-9 on page 24
I Can….
Multiple decimals
by whole numbers.
Multiply Decimals
by Whole Numbers
• Essential Understanding:
Use the basic rules of multiplication when multiplying a
decimal by a whole number or other decimal. To place the
decimal in the product, count the number of decimals places
in each factor.
Example: 3 x .02 = .06  there are two decimal places in
the factors. So, there will be two decimal places in the
product.
Guided Practice: Complete Problems 1-8 on page 30
Wrap it Up
• Review
• Questions
• Station Work
Day 2
Bell Work
Louisa walked her dog 0.4 miles a day on
Tuesday, Wednesday, Thursday, and Friday.
Find the total distance she walked all week.
Justify your answer.
If Louisa continued to walk her dog at this rate
how far would she walk in 4 weeks?
Vocabulary
Compatible numbers- numbers that are easily multiplied or divided mentally.
Decimal -
a representation of a real number using the base ten and decimal
notation, such as 201.4, 3.89, or 0.0006. (Part of a Whole)
Dividend-
The amount being divided
Divisor -
The number you divide by
Estimate-
a reasonable guess
Factors-
Numbers being multiplied in a multiplication equation
Product-
the answer to a multiplication equation
Quotient-
the answer to a division equation
I Can……
Multiple decimals
by decimals.
Multiplying Decimals
by Decimals
• Essential Understanding:
Use the basic rules of multiplication when multiplying a
decimal by a whole number or other decimal. To place the
decimal in the product, count the number of decimals
places in each factor.
Example: 1 .5 x 1.5 = 2.25  There are two decimal
places in the factors. So, there will be two decimal places
in the product.
Guided Practice: Complete Problems a-f on pages 38-39
Wrap it Up
• Review
• Questions
• Station Work
Day 3
Bell Work
Junnie walked for 2.5 hours at a speed of 2.3
miles per hour. Maurice walked for 1.8 hours at
a speed of 4.1 miles per hour. Who walked
farther?
Justify your answer.
(Hint: Distance = speed x time)
How much farther did Junnie Walk?
Vocabulary
Compatible numbers- numbers that are easily multiplied or divided mentally.
Decimal -
a representation of a real number using the base ten and decimal
notation, such as 201.4, 3.89, or 0.0006. (Part of a Whole)
Dividend-
The amount being divided
Divisor -
The number you divide by
Estimate-
a reasonable guess
Factors-
Numbers being multiplied in a multiplication equation
Product-
the answer to a multiplication equation
Quotient-
the answer to a division equation
Let’s Review
• Long Division
• Quick Check: Complete Problems 10-14 on page 24
I Can….
Divide decimals
by whole numbers.
Dividing Decimals
by Whole Numbers
• Essential Understanding:
Use the basic rules of division. Since there is not
a decimal in the divisor, you can simply bring the
decimal of the dividend up and divide as normal.
Guided Practice: Complete Problems 1-4 on page 48
Wrap it Up
• Review
• Questions
• Station Work
Day 4
Bell Work
Ryan and his brother are sharing the cost
of a video game. The game cost $28.60.
How much does each brother have to pay?
Justify your answer.
If Ryan saves $20 for the game, how much money will
he have left?
Vocabulary
Compatible numbers- numbers that are easily multiplied or divided mentally.
Decimal -
a representation of a real number using the base ten and decimal
notation, such as 201.4, 3.89, or 0.0006. (Part of a Whole)
Dividend-
The amount being divided
Divisor -
The number you divide by
Estimate-
a reasonable guess
Factors -
Numbers being multiplied in a multiplication equation
Product-
the answer to a multiplication equation
Quotient-
the answer to a division equation
I Can……
Divide decimals
by decimals.
Dividing Decimals
by Decimals
• Essential Understanding:
Use the basic rules of division. To divide any number by a
decimal, you must first change the divisor into a whole number.
This is done by multiplying it by some power of 10. Then
multiply the dividend by the same power of 10. Finally, bring
the decimal up and divide as usual.
In other words, move the decimal of the outside number to the
end. Then move the decimal of the inside number the same
number of places. Finally bring inside decimal straight up and
divide.
Guided Practice: Complete Problems 1-6 on pages 54-55
Wrap it Up
• Review
• Questions
• Station Work
Day 5
Bell Work
The longest vehicle tunnel in the world is the
Laerdal Tunnel in Norway with a length of 15.2
miles long. How many vehicles could fit in the
tunnel, bumper to bumper, if the average
vehicle’s length is 0.004 mile?
Justify your answer.
Vocabulary
Compatible numbers- numbers that are easily multiplied or divided mentally.
Decimal -
a representation of a real number using the base ten and decimal
notation, such as 201.4, 3.89, or 0.0006. (Part of a Whole)
Dividend-
The amount being divided
Divisor -
The number you divide by
Estimate-
a reasonable guess
Factors -
Numbers being multiplied in a multiplication equation
Product-
the answer to a multiplication equation
Quotient-
the answer to a division equation
Quick Quiz
Explore
Lab Day
Wrap it Up
• Review
• Questions
• Station Work