Deer Valley Unified School District
5th Grade Math
End of Module 1 Review
Place Value and Decimal Fractions
Name __________________
Date ___________________
1. The following equations involve different quantities and use different operations, yet
produce the same result. Use a place value mat and words to explain why this is true.
.354 x 103 = 354
35,400 ÷ 102 = 354
2. My pencil measures 18 cm.
a. Express this measurement in meters.
b. Explain your thinking using a place value chart.
c. Explain your thinking using an equation that includes an exponent.
Compare the following numbers:
3. 6 tenths + 35 hundredths
0.96
4. 4 + 7 x (
1
10
)+3x(
1
100
)
4.073
5. Express 38.247 in words.
a. Write the expanded form using fractions or decimals.
6. SELECT ALL of the equivalent expressions that represent 89.25
a. 8 x 10 + 9 x 1 + 2 x
1
10
+5x
1
100
b. 89 x 10 + 2 x 0.1 + 5 x 0.01
c. 8 + 9 + .2 + .05
d. 80 + 9 + 2 x 0.1 + 5 x 0.01
7. Dr. North mixed 4.653g of chemical A, 11.421g of chemical B, and 8.48 g of chemical C to
make 4 doses of medicine.
a. About how much medicine did she make in grams? Estimate the amount of each
chemical by rounding to the nearest tenth of a gram before finding the sum. Show
your thinking.
b. Find the actual amount of medicine mixed by Dr.North .
c. What is the difference in your estimate and the actual amount?
d. About how many grams are in one dose of medicine? Explain your strategy for
solving this problem.
8. Arrange the numbers in increasing order.
6.059
6.289
6.009
6.03
9. Round 362.459 to the nearest tenth, hundredth and whole number.
Tenth: _____________________________
Hundredth: _________________________
Whole Number: _____________________
10. 0.5 + 0.4 =_____________________
11. 3.05 + 0.07 = ____________________
12. 60.9 – 3.254 = ____________________
13. 92.45 – 0.003 = ____________________
14. Use an area model to show the product of 3.12 and 6.
15. Mr. Pickles mixes 2.5 liters of red paint with 4 times as much white paint to make pink
paint. She pours the pink paint equally into 5 containers. How much pink paint is in each
containers?
Deer Valley Unified School District
5th Grade Math
End of Module 1 Assessment
Place Value and Decimal Fractions
Name ANSWER KEY
Date ___________________
1. The following equations involve different quantities and use different operations, yet
produce the same result. Use a place value mat and words to explain why this is true.
.524 x 103 = 524
52,400 ÷ 102 = 524
2. A Madagascar Hissing Cockroach measures 8 cm.
a. Express this measurement in meters.
8 ÷ 102 = 0.08 meters
b. Explain your thinking using a place value chart.
C, Explain your thinking using an equation that includes an exponent.
8cm = ____________meters
8 ÷ 102 = 0.08 meters (There are 100 cm in 1 meter. If I divide 8 by 100,
which is 102, then I shift the number 2 spaces right on the place value
chart and I get 0.08 meters)
Compare the following numbers:
3. 4 tenths + 24 hundredths
4. 3 + 8 x (
1
10
)+2x(
1
100
)
>
>
0.28
3.082
5. Express 26.489 in words.
Twenty-six and four hundred eighty nine thousandths
a. Write the expanded form using fractions or decimals. (answers will vary)
20 + 6 + 0.4 + 0.08 + 0.009 /
20 + 6 +
4
10
8
+
100
+
9
1000
6. SELECT ALL of the equivalent expressions that represent 61.25
a. 6 x 10 + 1 + 2 x
1
10
+5x
1
100
b. 61 x 10 + 2 x 0.1 + 5 x 0.01
c. 6 + 1 + .2 + .05
d. 60 + 1 + 2 x 0.1 + 5 x 0.01
7. Dr. West mixed 2. 573 g of chemical A, 10.427 g of chemical B, and 7.38 g of chemical C to
make 4 doses of medicine.
a. About how much medicine did she make in grams? Estimate the amount of each
chemical by rounding to the nearest tenth of a gram before finding the sum. Show
your thinking.
2.573 rounds to 2.6 because 57 hundredths is closer to 60 hundredths which is 6 tenths.
10.427 rounds to 10.4 because 42 hundredths is closer to 40 hundredths which is 4
tenths. 7.38 rounds to 7.4 because 38 hundredths is closer to 40 hundredths which is 4
tenths. When I add 2.6 + 10.4 + 7.4 it equals 20.4. She made 20.4 grams of medicine
b. Find the actual amount of medicine mixed by Dr. West.
Actual amount: 2.573 + 10.427 + 7.38 = 20.380
c. What is the difference in your estimate and the actual amount? Difference in estimated
and actual: 20.4 – 20.380 = 0.020 grams
d. About how many grams are in one dose of medicine? Explain your strategy for solving
this problem. I took the actual amount of 20.380 grams and estimated it to 20. I then
divided 20 by 4. This gave me about 5 grams per dose.
8. Arrange the numbers in increasing order.
5.059
5.189
5.008
5.01
5.008
5.01
5.059
5.189
9. Round 346.843 to the nearest tenth, hundredth and whole number.
Tenth: 346.8
Hundredth: 346.84
Whole Number: 347
10. 0.8 + 0.4 =1.2
11. 2.05 + 0.08 = 2.13
12. 80.9 – 3.451 =77.449
13. 81.43 – 0.002 = 81.428
14. Use an area model to show the product of 2.12 and 5.
15. Mrs. Haskel mixes 1.5 liters of red paint with 4 times as much white paint to make pink
paint. She pours the pink paint equally into 3 containers. How much pink paint is in each
containers?
1.5 x 4 = 6.0
6.0 + 1.5 + 7.5 liters of paint
7.5 ÷ 3 = 2.5 liters of paint per container
7