Annotated Answer Key
Name______________________
Grade 5, Unit 4, Lesson 06: ​
When the place value extends to thousandths, the structure
does not change. 1. Explain how to write the value of the digit 7 in 3.579 as a decimal.
0.07 - the explanation may include the expanded notation of the number with
each individual digit represented as a decimal.
2. In the number 33.333, underline the digit that has the value of 3 x 0.1. Explain
how the value of the digit 3 to the right of (3 x 0.1) is different from the value of 3
x 0.1?
33.333
​
Students should underline the following digit: 33.​
3​
33. Students should explain
in words or illustrations that the 3 in the hundredths place represents 1/10 of the
value of the 3 in the tenths place.
3. Write the value of the digit 9 in in 5.91 as a product of the digit and the number
representing its place value.
9 x 0.1
4. Rewrite the following expression to show the value of each digit as a product of
the digit and the number representing its place value:
20 + 7 + 0.8 + 0.03 + 0.009
​
(2x10) + (7 x 1) + (8 x 0.1) + (3 x 0.01) + (9 x 0.001)
5. Record the number in problem 4 in standard form. Do you agree with Oliver who
says that it is the same as twenty-seven and eight hundred thirty-nine
hundredths? Why?
27.839. Students should state that they disagree with Oliver - it should be
​
© LearnZillion, Inc. 2015. All Rights Reserved. No part of this document may be
reproduced without LearnZillion's express consent.
Annotated Answer Key
Name______________________
Grade 5, Unit 4, Lesson 06: ​
When the place value extends to thousandths, the structure
does not change. twenty-seven and eight hundred thirty-nine thousandths, as the 9 is in the
thousandths place.
6. Oliver says that the expanded form for 3.14 is 3 + 0.1 + 0.04. Leila argues that
the expanded form for 3.14 is (3 x 1) + (1 x 0.1) + (4 x 0.01). Who do you agree
with? Why?
Students must indicate that both Oliver and Leila, are correct. The expanded
form suggested by Oliver, shows the number 3.14 to demonstrate the values of
individual digits, and the expanded form suggested by Leila, shows the number
3.14 to demonstrate the value of individual digits as a product of the digit and
the decimal representing its value.
7. Write the expanded form of 2.005 with decimals.
2 + 0.005.
8. Write the expanded form of 36.14 showing the value of each digit as a product
of the digit and the number representing its place value.
(3 x 10) + (6 x 1) + (1 x 0.1) + (4 x 0.01)
9. Write the standard and the expanded form with decimals for the following
number: five and three hundredths.
5.03; 5 + 0.03
10. Write the standard and the word form for the following expression:
(9 x 1) + (2 x 0.01) + (5 x 0.001)
9.025; nine and twenty-five thousandths
© LearnZillion, Inc. 2015. All Rights Reserved. No part of this document may be
reproduced without LearnZillion's express consent.