Decimal Worksheet

Answer the following questions using a model like LAB.

1. How many tenths = 1 whole unit? So ______ tenths = 1 whole unit
How many hundredths = 1 tenth? So ______ hundredths = 1 tenth
So ______ hundredths = 1 whole unit
How many thousandths = 1 hundredth? So ______ thousandths = 1 hundredth
So ______ thousandths = 1 tenth, So ______ thousandths = 1 whole unit

2. Describe what parts each decimal is made up of, then construct it with the model.

e.g. 0.3 = 3 tenths
a. 0.4 = ______ tenths
b. 0.2 = ______ tenths
c. 0.23 = ______ tenths + ______ hundredths
d. 0.361 = ______ tenths + ______ hundredths + ______ thousandths
e. 0.142 = ______ + ______ + ______
f. 0.845 =
g. 0.618 =
h. 0.608 =
i. 0.25 = ______ tenths + ______ hundredths
= ______ hundredths
j. 0.63 = ______ + ______
= ______ hundredths
k. 0.427 = ______ tenths + ______ hundredths + ______ thousandths
= ______ thousandths

3.Work in pairs, taking turns. One person makes the numbers on the model while the other person reads the numbers from the model.

a. 0.214

b. 1.436

c. 0.206

d. 0.302

e. 0.32

f. 0.320

g. 0.31

h. 0.031

i. 1.003

j. 0.001

k. 1.1

l. 1.100

m. 1.11

n. 1.111

o. 0.101

p. 0.011

q. 0.645

r. 1.605

A representation of LAB using graph paper.

A similar exercise to the previous one only this time it is a pen and paper construction.

Decimal representation using graph paper

4. Name each of the following decimal representations.

Decimal representation using graph paper

5. Using graph paper, draw representations of each of the following decimal numbers.

a.

0.4

0.45

0.5

b.

0.16

0.19

0.2

c.

0.3

0.37

0.371

d.

0.1

0.01

0.11

e.

0.2

0.06

0.26

f.

0.4

0.41

0.401

6. Using graph paper draw representations of each of the following sets of 3 decimals and CIRCLE the LARGEST decimal.

a.

0.1

0.01

0.001

b.

0.2

0.3

0.27

c.

0.4

0.46

0.406

d.

0.51

0.501

0.511

e.

0.03

0.003

0.033

f.

0.7

0.581

0.67

7. Complete the following sequences.

(Answers can be checked using a calculator or using the model)

a. 0.2, 0.22, 0.24, 0.26, ..., ..., ...

b. 0.1, 0.15, 0.2, 0.25, ..., ..., ...

c. 6.07, 6.09, 7.11, ..., ..., ...

d. 0.45, 0.49, 0.53, ..., ..., ...

e. 1.28, 1.23, 1.18, ..., ..., ...

f. 1.01, 0.97, 0.93, ..., ..., ...

8. Mark in the following positions on a number line.

a. 0.4, 0.42, 0.49

number line

b. 0.35, 0.27, 0.3

number line

c. 5.0, 5.02, 5.07, 5.09

number line

9. Write the number indicated by the pointer in the box provided:

number lines