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NS 1.5*1%7
Identify5HDGZULWHDQGFRPSDUHGHFLPDOVWRWKRXVDQGWKV
and represent on a number line positive and negative
UNDERLYING SKILLS AND CONCEPTS:
integers, decimals, fractions and mixed numbers.
use a number line;
understand decimal place value
Show Decimals on a Number Line
You can show decimals on a number line. To write decimals for smaller
parts, magnify the line.
Can you guess what are the decimals between 1 and 2?
1
0
0
0
0.1
0.2
2
0.3
0.4
3
0.5
0.6
4
0.7
0.8
whole numbers
5
0.9
tenths are
numbers between
whole numbers
1
hundredths
are numbers
between tenths
0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10
E x am p l E
1
Round three and two tenths to the nearest whole number.
3.9
4.1
4
You can see that 3.2 is closer to 3 than to 4. So 3.2 rounds to 3.
E x am p l E
2
whole numbers between 1 and 4
tenths between 2 and 3
1
2
X
3
4
hundredths between 2.6 and 2.7
X
2.1
2.2
2.3
2.4
2.5
2.6
2.7 2.8 2.9 3 3.1
2
Round two and sixty-eight hundredths
to the nearest tenth and the nearest
whole number.
X
2.61 2.62 2.63 2.64 2.65 2.66 2.67 2.68 2.69 2.7 2.71
2.6
Put an X on 2.68.
Is 2.68 closer to 2.6 or 2.7?
X is closer to 2.7. So, 2.68 is closer to 2.7.
Is 2.68 closer to 2 or to 3? Is the X closer to 2 or to 3? The X is closer to 2.7.
2.7 is closer to 3 than to 2. So 2.68 is closer to 3 than to 2.
page 136
Chapter 12 – Lesson 2
E – © CSL Associates, Inc. All rights reserved.
X
3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8
3
Put an X on the point that shows 3.2.
Is 3.2 closer to 3 or to 4? Hint: Is the X closer to 3 or to 4?
Name
P RAC T I C E
Which decimal number does each point show?
0
0.1
A
C
0.2
0.3
0.2
1. A
B
0.4
0.5
0.5
B
D
0.6
0.7
C
P
0.8
0.9
0.3
1
1.1
1.1
D
Q
S
R
2.3 2.31 2.32 2.33 2.34 2.35 2.36 2.37 2.38 2.39 2.4 2.41
2.34
2. P
2.38
Q
W
R
2.41
X
S
Y
2.40
Z
5.98 5.981 5.982 5.983 5.984 5.985 5.986 5.987 5.988 5.989 5.99 5.991
3. W
5.981
X
5.985
Y
5.989
Z
5.99
E – © CSL Associates, Inc. All rights reserved.
Write the letter to show the decimal number.
3.7 3.71 3.72 3.73 3.74 3.75 3.76 3.77 3.78 3.79 3.8 3.81
4. P at 3.73
Q at 3.7
R at 3.81
S at 3.79
9.06 9.061 9.062 9.063 9.064 9.065 9.066 9.067 9.068 9.069 9.07 9.071
5. W at 9.068
Math
Reasoning
X at 9.063
Y at 9.069
Z at 9.071
Logic
MR 2.4
6. Mark said that there is no way to show a decimal number
with ten-thousandths on a number line. Is Mark correct?
No
Explain your answer. You can make a number line for any decimal.
Enlarge the number line for the thousandths, and divide each
section by 10.
Chapter 12 – Lesson 2
page 137
MCX94.HW.CL.G5.FM&Lesson.v211
8/2/04
18:02
Page 92
Name
…at home!
P RAC T I C E
Which decimal number does each point show?
Q
0
0.1
P
0.2
0.4
1. P
0.3
S
0.4
0.5
0.1
Q
D
0.6
B
0.7
R
0.8
0.9
1
R
A
1.1
1
0.7
S
C
2.3 2.31 2.32 2.33 2.34 2.35 2.36 2.37 2.38 2.39 2.4 2.41
2.36
2. A
2.33
B
L
N
C
M
2.39
2.31
D
K
5.98 5.981 5.982 5.983 5.984 5.985 5.986 5.987 5.988 5.989 5.99 5.991
3. K
5.988
L
5.982
M
5.986
N
5.984
3.7 3.71 3.72 3.73 3.74 3.75 3.76 3.77 3.78 3.79 3.8 3.81
4. A at 3.71
B at 3.79
C at 3.75
D at 3.8
9.06 9.061 9.062 9.063 9.064 9.065 9.066 9.067 9.068 9.069 9.07 9.071
5. P at 9.07
Math
Reasoning
Q at 9.061
R at 9.067
Logic
S at 9.064
MR 2.4
6. Jerry said that there is no way to show 0.0008 with
ten-thousandths on a number line. Is Jerry correct?
No.
Explain your answer. Just set up a number line from 0 to 0.001 and
break the line into 10 equal segments. Each segment is
one ten-thousandth. Eight segments from 0 equal 8 ten-thousandths.
page 92
Home Resource and Homework
Chapter 12 Lesson 2
E – © CSL Associates, Inc. All rights reserved.
Write the letter to show the decimal number.
MCX94TEG5CH01_32.v7.4.2 2/24/01 19:45 Page 253
Name
P RAC T I C E
Which decimal number does each point show?
0
0.1
A
C
0.2
0.3
0.2
1. A
B
0.4
0.5
0.5
B
D
0.6
0.7
0.8
0.9
0.3
C
P
1
1.1
1.1
D
Q
S
R
2.3 2.31 2.32 2.33 2.34 2.35 2.36 2.37 2.38 2.39 2.4 2.41
2.34
2. P
2.38
Q
W
2.41
R
X
2.40
S
Y
Z
5.98 5.981 5.982 5.983 5.984 5.985 5.986 5.987 5.988 5.989 5.99 5.991
5.981
3. W
X
5.985
Y
5.989
5.99
Z
Write the letter to show the decimal number.
E – © CSL Associates, Inc. All rights reserved.
Q
P
S
R
3.7 3.71 3.72 3.73 3.74 3.75 3.76 3.77 3.78 3.79 3.8 3.81
4. P at 3.73
Q at 3.7
R at 3.81
X
W
S at 3.79
Y
Z
9.06 9.061 9.062 9.063 9.064 9.065 9.066 9.067 9.068 9.069 9.07 9.071
5. W at 9.068
Math
Reasoning
X at 9.063
Y at 9.069
Z at 9.071
Logic
MR 2.4
6. Mark said that there is no way to show a decimal number
with ten-thousandths on a number line. Is Mark correct?
No
Explain your answer. You can make a number line for any decimal.
Enlarge the number line for the thousandths, and divide each
section by 10.
Chapter 12 – Lesson 2
Student Book Page
page 137
Name
…at home!
P RAC T I C E
Which decimal number does each point show?
Q
0
0.1
P
0.2
0.4
1. P
0.3
S
0.4
0.5
0.1
Q
D
0.6
B
0.7
R
0.8
0.9
1
R
A
1.1
1
0.7
S
C
2.3 2.31 2.32 2.33 2.34 2.35 2.36 2.37 2.38 2.39 2.4 2.41
2.36
2. A
2.33
B
L
N
2.39
C
M
2.31
D
K
5.98 5.981 5.982 5.983 5.984 5.985 5.986 5.987 5.988 5.989 5.99 5.991
3. K
5.988
5.982
L
5.986
M
N
5.984
Write the letter to show the decimal number.
C
B
D
3.7 3.71 3.72 3.73 3.74 3.75 3.76 3.77 3.78 3.79 3.8 3.81
4. A at 3.71
B at 3.79
Q
S
C at 3.75
R
D at 3.8
P
9.06 9.061 9.062 9.063 9.064 9.065 9.066 9.067 9.068 9.069 9.07 9.071
5. P at 9.07
Math
Reasoning
Q at 9.061
R at 9.067
Logic
S at 9.064
MR 2.4
6. Jerry said that there is no way to show 0.0008 with
ten-thousandths on a number line. Is Jerry correct?
No.
Explain your answer. Just set up a number line from 0 to 0.001 and
break the line into 10 equal segments. Each segment is
one ten-thousandth. Eight segments from 0 equal 8 ten-thousandths.
page 92
Home Resource and Homework
Chapter 12 Lesson 2
E – © CSL Associates, Inc. All rights reserved.
A