Textbook: Decimals (Term 2) | Mathematics for Grade 6 PDF Download

 Page 1


 GrADe 6: MATheMATiCS [TerM 2] 177
Unit 7
d ecim Als 7.1 Fifths and tenths and hundredths
In this unit you will measure lengths with Greysticks. Because the 
Greystick is longer than the Yellowstick, we can divide it into many 
more smaller parts than we could divide a Yellowstick. This makes it 
possible to measure lengths more accurately. 
We shall focus on fifths, tenths and hundredths and will learn a 
different notation for fractions.
Answer the questions below. The strips and Greysticks are given on the 
next page.
1. What can we call the small parts in Greysticks A, B and C?
2. How long is the green strip? Write your answer in more than one 
way.
3. What do we call the small parts in Greystick F?
4. What do we call the small parts in Greystick G?
5. How long is the yellow strip?
6. How long is the red strip? Give two or more possible answers.
7. Write these fractions as tenths:
(a) two fifths (b) three fifths
(c) eight twentieths (d) five fiftieths
8. Write these fractions as hundredths:
(a) two fifths (b) three fifths
9. Add the following and give your answers in hundredths:
 (a) 6 tenths + 7 tenths
 (b) 23 hundredths + 5 hundredths
 (c) 35 hundredths + 73 hundredths
 (d) 14 tenths + 3 hundredths
 (e) 123 tenths + 42 hundredths 
Maths_English_LB_Grade6_Book.indb   177 2016/12/15   4:21:27 PM
Page 2


 GrADe 6: MATheMATiCS [TerM 2] 177
Unit 7
d ecim Als 7.1 Fifths and tenths and hundredths
In this unit you will measure lengths with Greysticks. Because the 
Greystick is longer than the Yellowstick, we can divide it into many 
more smaller parts than we could divide a Yellowstick. This makes it 
possible to measure lengths more accurately. 
We shall focus on fifths, tenths and hundredths and will learn a 
different notation for fractions.
Answer the questions below. The strips and Greysticks are given on the 
next page.
1. What can we call the small parts in Greysticks A, B and C?
2. How long is the green strip? Write your answer in more than one 
way.
3. What do we call the small parts in Greystick F?
4. What do we call the small parts in Greystick G?
5. How long is the yellow strip?
6. How long is the red strip? Give two or more possible answers.
7. Write these fractions as tenths:
(a) two fifths (b) three fifths
(c) eight twentieths (d) five fiftieths
8. Write these fractions as hundredths:
(a) two fifths (b) three fifths
9. Add the following and give your answers in hundredths:
 (a) 6 tenths + 7 tenths
 (b) 23 hundredths + 5 hundredths
 (c) 35 hundredths + 73 hundredths
 (d) 14 tenths + 3 hundredths
 (e) 123 tenths + 42 hundredths 
Maths_English_LB_Grade6_Book.indb   177 2016/12/15   4:21:27 PM
178 UNiT 7: DeCiMALS
 A B C D E F G H I  J K L
Maths_English_LB_Grade6_Book.indb   178 2016/12/15   4:21:27 PM
Page 3


 GrADe 6: MATheMATiCS [TerM 2] 177
Unit 7
d ecim Als 7.1 Fifths and tenths and hundredths
In this unit you will measure lengths with Greysticks. Because the 
Greystick is longer than the Yellowstick, we can divide it into many 
more smaller parts than we could divide a Yellowstick. This makes it 
possible to measure lengths more accurately. 
We shall focus on fifths, tenths and hundredths and will learn a 
different notation for fractions.
Answer the questions below. The strips and Greysticks are given on the 
next page.
1. What can we call the small parts in Greysticks A, B and C?
2. How long is the green strip? Write your answer in more than one 
way.
3. What do we call the small parts in Greystick F?
4. What do we call the small parts in Greystick G?
5. How long is the yellow strip?
6. How long is the red strip? Give two or more possible answers.
7. Write these fractions as tenths:
(a) two fifths (b) three fifths
(c) eight twentieths (d) five fiftieths
8. Write these fractions as hundredths:
(a) two fifths (b) three fifths
9. Add the following and give your answers in hundredths:
 (a) 6 tenths + 7 tenths
 (b) 23 hundredths + 5 hundredths
 (c) 35 hundredths + 73 hundredths
 (d) 14 tenths + 3 hundredths
 (e) 123 tenths + 42 hundredths 
Maths_English_LB_Grade6_Book.indb   177 2016/12/15   4:21:27 PM
178 UNiT 7: DeCiMALS
 A B C D E F G H I  J K L
Maths_English_LB_Grade6_Book.indb   178 2016/12/15   4:21:27 PM
 GrADe 6: MATheMATiCS [TerM 2] 179
7.2 A different notation for fractions
You can write the number 2
3
10
 as 2,3 and the number 1
1
2
 as 1,5.
1. If 2
3
10
 is written as 2,3, why do you think 1
1
2
 is written as 1,5? 
 Discuss this with one or two of your classmates.
2
3
10
 and 2,3 are two different 
notations for the same number.  
2,3 is the  decimal notation.
3
10
 has no whole number part 
and so it is written as 0,3. 
A comma separates the whole 
number part from the fraction. The  
first position after the comma 
indicates the number of tenths in  
the number. The second position  
is for the hundredths.
2. Write the length of each of these strips in fraction notation and in 
decimal notation. Measure in Yellowsticks. This is one Yellowstick:
One Yellowstick
 (a)
 (b)
3. How can you turn a tenths ruler into a fiftieths ruler?
4. How can you turn a tenths ruler into a hundredths ruler?
The number 1
1
2
 can be
written as 1,5 because  
1,5 is 1 and 5 tenths.
Maths_English_LB_Grade6_Book.indb   179 2016/12/15   4:21:27 PM
Page 4


 GrADe 6: MATheMATiCS [TerM 2] 177
Unit 7
d ecim Als 7.1 Fifths and tenths and hundredths
In this unit you will measure lengths with Greysticks. Because the 
Greystick is longer than the Yellowstick, we can divide it into many 
more smaller parts than we could divide a Yellowstick. This makes it 
possible to measure lengths more accurately. 
We shall focus on fifths, tenths and hundredths and will learn a 
different notation for fractions.
Answer the questions below. The strips and Greysticks are given on the 
next page.
1. What can we call the small parts in Greysticks A, B and C?
2. How long is the green strip? Write your answer in more than one 
way.
3. What do we call the small parts in Greystick F?
4. What do we call the small parts in Greystick G?
5. How long is the yellow strip?
6. How long is the red strip? Give two or more possible answers.
7. Write these fractions as tenths:
(a) two fifths (b) three fifths
(c) eight twentieths (d) five fiftieths
8. Write these fractions as hundredths:
(a) two fifths (b) three fifths
9. Add the following and give your answers in hundredths:
 (a) 6 tenths + 7 tenths
 (b) 23 hundredths + 5 hundredths
 (c) 35 hundredths + 73 hundredths
 (d) 14 tenths + 3 hundredths
 (e) 123 tenths + 42 hundredths 
Maths_English_LB_Grade6_Book.indb   177 2016/12/15   4:21:27 PM
178 UNiT 7: DeCiMALS
 A B C D E F G H I  J K L
Maths_English_LB_Grade6_Book.indb   178 2016/12/15   4:21:27 PM
 GrADe 6: MATheMATiCS [TerM 2] 179
7.2 A different notation for fractions
You can write the number 2
3
10
 as 2,3 and the number 1
1
2
 as 1,5.
1. If 2
3
10
 is written as 2,3, why do you think 1
1
2
 is written as 1,5? 
 Discuss this with one or two of your classmates.
2
3
10
 and 2,3 are two different 
notations for the same number.  
2,3 is the  decimal notation.
3
10
 has no whole number part 
and so it is written as 0,3. 
A comma separates the whole 
number part from the fraction. The  
first position after the comma 
indicates the number of tenths in  
the number. The second position  
is for the hundredths.
2. Write the length of each of these strips in fraction notation and in 
decimal notation. Measure in Yellowsticks. This is one Yellowstick:
One Yellowstick
 (a)
 (b)
3. How can you turn a tenths ruler into a fiftieths ruler?
4. How can you turn a tenths ruler into a hundredths ruler?
The number 1
1
2
 can be
written as 1,5 because  
1,5 is 1 and 5 tenths.
Maths_English_LB_Grade6_Book.indb   179 2016/12/15   4:21:27 PM
180 UNiT 7: DeCiMALS
5. (a) On the right is a green strip between two  
 Greysticks. Write the length of the green strip in  
 fraction notation. Give two answers.
 (b) Write the length of the green strip in decimal  
 notation.
6. Write the following fractions in decimal notation:
(a) 
7
10
 (b) 
72
100
(c) 3
7
100
 (d) 1
70
100
(e) 
3
100
 (f) 
27
10
7. Write the following in fraction notation:
(a) 2,57 (b) 0,3
(c) 1,04 (d) 0,03
(e) 5,30 (f) 1,22
8. (a) What fraction of this rectangle is purple?
 (b) What fraction of this rectangle is white?
 Give your answers in fraction notation  
as well as in decimal notation. 
Maths_English_LB_Grade6_Book.indb   180 2016/12/15   4:21:28 PM
Page 5


 GrADe 6: MATheMATiCS [TerM 2] 177
Unit 7
d ecim Als 7.1 Fifths and tenths and hundredths
In this unit you will measure lengths with Greysticks. Because the 
Greystick is longer than the Yellowstick, we can divide it into many 
more smaller parts than we could divide a Yellowstick. This makes it 
possible to measure lengths more accurately. 
We shall focus on fifths, tenths and hundredths and will learn a 
different notation for fractions.
Answer the questions below. The strips and Greysticks are given on the 
next page.
1. What can we call the small parts in Greysticks A, B and C?
2. How long is the green strip? Write your answer in more than one 
way.
3. What do we call the small parts in Greystick F?
4. What do we call the small parts in Greystick G?
5. How long is the yellow strip?
6. How long is the red strip? Give two or more possible answers.
7. Write these fractions as tenths:
(a) two fifths (b) three fifths
(c) eight twentieths (d) five fiftieths
8. Write these fractions as hundredths:
(a) two fifths (b) three fifths
9. Add the following and give your answers in hundredths:
 (a) 6 tenths + 7 tenths
 (b) 23 hundredths + 5 hundredths
 (c) 35 hundredths + 73 hundredths
 (d) 14 tenths + 3 hundredths
 (e) 123 tenths + 42 hundredths 
Maths_English_LB_Grade6_Book.indb   177 2016/12/15   4:21:27 PM
178 UNiT 7: DeCiMALS
 A B C D E F G H I  J K L
Maths_English_LB_Grade6_Book.indb   178 2016/12/15   4:21:27 PM
 GrADe 6: MATheMATiCS [TerM 2] 179
7.2 A different notation for fractions
You can write the number 2
3
10
 as 2,3 and the number 1
1
2
 as 1,5.
1. If 2
3
10
 is written as 2,3, why do you think 1
1
2
 is written as 1,5? 
 Discuss this with one or two of your classmates.
2
3
10
 and 2,3 are two different 
notations for the same number.  
2,3 is the  decimal notation.
3
10
 has no whole number part 
and so it is written as 0,3. 
A comma separates the whole 
number part from the fraction. The  
first position after the comma 
indicates the number of tenths in  
the number. The second position  
is for the hundredths.
2. Write the length of each of these strips in fraction notation and in 
decimal notation. Measure in Yellowsticks. This is one Yellowstick:
One Yellowstick
 (a)
 (b)
3. How can you turn a tenths ruler into a fiftieths ruler?
4. How can you turn a tenths ruler into a hundredths ruler?
The number 1
1
2
 can be
written as 1,5 because  
1,5 is 1 and 5 tenths.
Maths_English_LB_Grade6_Book.indb   179 2016/12/15   4:21:27 PM
180 UNiT 7: DeCiMALS
5. (a) On the right is a green strip between two  
 Greysticks. Write the length of the green strip in  
 fraction notation. Give two answers.
 (b) Write the length of the green strip in decimal  
 notation.
6. Write the following fractions in decimal notation:
(a) 
7
10
 (b) 
72
100
(c) 3
7
100
 (d) 1
70
100
(e) 
3
100
 (f) 
27
10
7. Write the following in fraction notation:
(a) 2,57 (b) 0,3
(c) 1,04 (d) 0,03
(e) 5,30 (f) 1,22
8. (a) What fraction of this rectangle is purple?
 (b) What fraction of this rectangle is white?
 Give your answers in fraction notation  
as well as in decimal notation. 
Maths_English_LB_Grade6_Book.indb   180 2016/12/15   4:21:28 PM
 GrADe 6: MATheMATiCS [TerM 2] 181
9. What fraction of this rectangle is
(a) green (b) purple (c) white? 
 Give your answers in fraction notation as well as in decimal 
notation.
10. What fraction of this rectangle is
(a) green (b) purple (c) white?
 Give your answers in fraction notation as well as in decimal 
notation.
1 1. What fraction of this rectangle is
(a) green (b) purple (c) white?
 Give your answers in fraction notation as well as in decimal 
notation.
7.3 Place value parts and number names
We write 300 + 50 + 6 + 
7
10
 + 
2
100
 as 356,72.
This notation, 300 + 50 + 6 + 
7
10
 + 
2
100
, is called the expanded 
notation or place value expansion of 356,72.
1. Write down in words how you would read the number 356,72 aloud.
2. Simon says 356,72 is three hundred and fifty-six comma seventy- 
two.
 (a) Is Simon correct?
 (b) Explain your answer. 
Maths_English_LB_Grade6_Book.indb   181 2016/12/15   4:21:28 PM