This is a finish lesson through instruction and also exercises around decimals with 3 decimal digits: writing them together fractions, place value & increased form, and also decimals ~ above a number line. It is supposed for 5th grade.

You are watching: 4 hundredths = how many thousandths

In the video clip below, I describe decimals with 3 decimal digits—or thousandths—using fractions and also a number line. Then I show examples of converting fountain to decimals and vice versa.


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This square illustrates one whole. It is separated into a hundred components or hundredths. The peak left square is split into ten new parts. Those are thousandths.

The 6 shaded components represent
61000, or 0.006 (six thousandths).

The third decimal digit from the decimal allude is the thousandths digit.For example, 0.008 is eight thousandths.

Read the whole set of three decimal digits together a number, and say “thousandths.”

0.391 is read “391 thousandths.” together a fraction, it is 3911000.
0.047 is read “47 thousandths.” as a fraction, that is 471000.
From the ar value chart, we can see the the number0.825 has 8 tenths, 2 hundredths, and also 5 thousandths.

Writing 0.825 together a amount of those “parts” is dubbed writing the in expanded form.

Othth
0.825

0.825 =8 ×110+2 × 1100+5 ×11000

While 0.825 is the sum of 8/10, 2/100, and also 5/1000, the is likewise 825/1000 (825 thousandths). How have the right to that be?

Because 8/10 is same to 800/1000 and 2/100 is same to 20/1000. So, once you include 8/10, 2/100, and 5/1000, girlfriend will obtain 825/1000.


1. Create the numbers in their broadened form. Compose them additionally as fractions. The an initial one is done because that you.

a.

Othth
0.906
=9061000

= 9 ×110+0 × 1100+6 ×11000

b.

Othth
0.244
=

110+× 1100+×11000

c.

Othth
0.655
=

110+

d.

Othth
0.18
=

=

e.

Othth
0.802
=

110+

f.

Othth
0.711
=

=

2. This numbers have likewise hundreds, tens, and ones. Create the number in the broadened form. Monitor the example.

a.

TOthth
63.926
= 6 × 10 + 3 × 1 + 9 × 110 + 2 × 1100+ 6 ×11000b.
TOthth
24.788
= × 10 + × 1 + × 110 + × 1100+ ×11000c.
TOthth
4.902
= × 1 +d.
TOthth
74.72
= e.
HTOthth
151.9
=× 100 + f.
HTOthth
765.244
=× 100 + 3.Write the decimals in the place value charts, and as fractions.

a. 7 thousandths


O
thth
.

=

b. 8 tenths and 2 thousandths


O
thth
.

=

c. 3 and 371 thousandths

4. Compose in increased form.

a. 0.95 =

b. 1.405 =

c. 244.781 =

d. 65.05 =

e. 20.214 =


=

d. 39 thousandths

Othth
.
=

e. 1 and 41 hundredths

Othth
.
=

f. 7 and 4 thousandths

Othth
.
=
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This number line has actually tick marks in ~ every hundredth. Because that thousandths, us would need to divide each such interval right into ten brand-new intervals. Imagine that in in between each two tick clues there space nine tiny lines. Those would stand for thousandths.

The number 0.052, 0.145, 0.228, and 0.304 are marked on the number line. Deserve to you uncover them?

Reminder: You can “tag” zeros ~ above the finish of a decimal number,and its worth will not change:

O
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0.7
0.70
0.700
0.7
=0.70=0.700
Seven tenths=70 hundredths=700 thousandths
710= 70100= 7001000

5. Fill in through the kind of components you get.

When you divide one whole into ten same parts,you acquire _________________________________.

When you division one tenth into ten equal parts,you get _________________________________.

When you division one hundredth into ten same parts,you acquire ______________________________.

6.Write the decimals indicated by the arrows.

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a. ____________ b. ____________ c. ____________ d. ____________ e. ____________

7. Note these decimal on the number line: 0.187, 0.205, 0.252, 0.301, and 0.314.

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8.Write the fractions as decimals.


a.

3

1000

=
b.
12

1000

=
c.
319

1000

=
d.
50

1000

=
e. 4
34

1000

=
f. 2
4

1000

=
g. 3
3

100

=
h. 1
80

100

=
i. 17
3

1000

=
j.
649

1000

=
k. 9
1

100

=
l. 50
619

1000

=

9.Write together fractions or combined numbers.

a. 0.048 b. 3.902 c. 3.005 d. 6.7
e. 10.06 f. 12.060 g. 7.90h. 0.429
i. 505.5 j. 4.789k. 0.091l. 5.42

10. What number is developed from the "parts"? provide your answer as a decimal.

a.

3

1000

+ 2

10

+ 7

100

=
b.
8

10

+ 1 + 9

100

=
c.
2

10

+ 7 + 3

1000

=
d.
5

10

+ 90 + 2

100

= 8

1000

=
e.
1

10

+ 7 + 8

1000

+ 10 =
f.
200 + 8

1000

+ 5 =
11. Ten tenths makes one whole. We have the right to write that as a multiplication: 10 × 0.1 = 1. (Note: the word “makes” corresponds to the equal sign, but there is no native to exchange mail to the multiplication sign; that is implied.) to fill in the sentences below, and write a multiplication sentence to match each one. Hint: The snapshot of the large square in the first page of this lesson deserve to help.

a. ________ thousandths renders a hundredth._______ × _______ = _______
b. ________ hundredths provides a tenth._______ × _______ = _______
c. ________ thousandths renders a tenth._______ × _______ = _______
d. ________ hundredths provides one whole._______ × _______ = _______

12.Use the ar value graph to help you, and also write the decimal that is....

a.Othth
0.285

one tenth much more than 0.285 _________

one hundredth an ext than 0.285 _________

one thousandth much more than 0.285 _________

b.
Othth
.

one tenth more than 0.016 _________

one hundredth much more than 0.016 _________

one thousandth more than 0.016 _________

c.
Othth
.

one tenth much more than 1.07 _________

one hundredth an ext than 1.07 _________

one thousandth much more than 1.07 _________

d.
Othth
.

one tenth an ext than 0.9 _________

one hundredth more than 0.9 _________

one thousandth more than 0.9 _________

e.
Othth
.

five tenths an ext than 2.316_________

six hundredths much more than 2.316 _________

two thousandths much more than 2.316 _________

f.
TOthth
.

ten much more than 1.08 _________

one hundredth more than 1.08 _________

nine thousandths more than 1.08 _________

13. Place the numbers in the cross-number puzzle. The squares have been left white for this reason as not to show how numerous digits the number have. After completing the puzzle, you can shade or shade the squares that are left empty.

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Across:

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A self-teaching worktext because that 5th-6th grade the covers the four operations through decimals up to 3 decimal digits, concentrating on decimal multiplication and division. The book additionally covers ar value, comparing, rounding, addition and individually of decimals. There room a many of psychological math problems.

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Download ($6.25). Also obtainable as a published copy.