Fifth Grade
Math Prep: Session 2
Note to Teachers:
This lesson will focus on decimals and problem solving with decimals
(multiply, divide, add and subtract). Students must understand decimal place
value, including that a digit in one place represents 10 times as much as it
represents in the place to its right, and one tenth of what it represents in the place
to its left. Students will compare and order decimals, round decimals, and
multiply/divide with decimal numbers.
In problem solving sections, have students read the problems, think
carefully about each, and underline important math facts and information. When
students are finished, go over the correct answers, while providing explanations as
to why the problem would be solved with its correct operation (s). Students should
be encouraged to use estimation first, even if the problem does not say to do so, to
check if their answer is reasonable.
The session should be split up as such:
 Part 1- 20 minutes straight computation
 Part 2- 20 minutes of one-step problems
 Part 3- 20 minutes of multi-step problems
Grade 5 Lesson 2: Multiplication and Division with Decimals
Part I: Computation
Find the product or quotient.
Compare using <, >, or =.
Round to the underlined place value.
Part II: Word Problems: One Step
1. Which is the correct comparison of the following decimals?
0.05
0.5
0.005
A. 0.005 < 0.05 < 0.5
B.0.5 < 0.05 < 0.005
C. 0.5 < 0.005 < 0.05
D. 0.005 < 0.5 < 0.05
2. Peter worked for 1.25 hours in the school cafeteria and was paid $8.00 per hour. What was
Peter paid for his work?
A. $6.40
B. $6.75
C. $9.25
D. $10.00
3. Which number below is one-tenth of the expanded form below?
2(10,000) + 3(1,000) + 5(100) + 4(10) + 7(1) + 6(1/10) + 9(1/100)
A. 235,476.9
B. 23,547.69
C. 23,547.59
D. 2354.769
4. Which is not equivalent to 0.983?
A. 9(1/10) + 8(1/100) + 3(1/1000)
B. 0.900 + 0.80 + 0.03
C. 9 (1/1) + 8 (1/10) + 3(1/100)
D. 983/1000
5. How many times smaller is the value of the 7 in the number 683,873 than in the number
674,200?
A. 10 times
B. 100 times
C. 1,000 times
D. 10,000 times
6. What expression does this decimal model show?
A. 0.07 x 0.08
B. 0.7 x 0.8
C. 0.6 x 0.8
D. 0.8 x 0.6
7. Joe has 1.6 meters of rope. He has to cut pieces of rope that are 0.2 meters long. How many
can he cut?
8. Kenan says the decimal point in the following problem should be placed after the 1. Is he
correct? Explain your answer.
38.4 ÷ 3.2 = 12
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9. Aaron multiplied 6.9 by 4.1. He got a product of 2.829. Is his answer reasonable? Explain
your answer using estimation.
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10. David has 15.9 pounds of coffee. If he puts coffee into 6 bags, how much coffee will each
bag contain?
11. A grocery store has 354 boxes of cereal. If each box costs $5.09, how much money will the
store make off the cereal?
Part III: Multi-step Word Problems
1. An apple orchard spans 25 miles. The farmer sets aside 2.6 miles of land for planting new
seeds. The rest of the land is to be divided up into sections that are 0.8 mile for each type of
apple grown. How many types of apples can the farmer have?
2. A gymnast scored 8.67 on the floor exercise and 1.2 times better on the vault. What is her
total number of points she scored in the competition?
3. Miguel works two jobs. At his first job, he earns $9.84 per hour and works 20 hours a week.
At his second job, he makes $15.36 per hour and works 15 hour a week. How much does he earn
in one week?
4. Sheila studied for a total of 6.73 hours. She studied 1.3 hours on Monday. Over the next three
days, she studied for an equal amount of time every day. How much did she study over the three
days?
5. Nancy wants to transfer 12 pictures from her phone to her flash drive which can hold 22 GB.
Each picture is 0.72 GB. She has already used 4.5 GB. Does she have enough room to add these
pictures? If so, how much room does she have?
6. A pool has 1,184.5 gallons in it. 25.76 gallons evaporated. Then, Fred poured 6.23 gallons
into the pool. About how many gallons are in the pool?