© T Madas
Which out of 0.5 and 0.05 is larger?
0.50
0.05
We can add or remove zeros
at the end of a decimal,
without changing the number
© T Madas
Which out of 0.5 and 0.05 is larger?
0.50
0.05
You can think of this as 50
You can think of this as 5
0.5 is larger than 0.05
© T Madas
Which out of 0.12 and 0.102 is larger?
0.120
0.102
You can think of this as 120
You can think of this as 102
0.12 is larger than 0.102
© T Madas
Place 0.503, 0.53 and 0.513 in order
from smallest to largest.
0.503
0.530
0.513
“503”
“530”
“513”
0.53 is the largest
0.513 is the next number up
0.503 is the smallest
© T Madas
Place 0.439, 0.049, 0.39 and 0.349 in
order from smallest to largest.
0.439
0.049
0.390
0.349
“439”
“49”
“390”
“349”
0.439 is the largest
0.39 is the next number up
0.349 is the next number up
0.049 is the smallest
© T Madas
Place 1.09, 0.099, 0.809, 0.9, 0.89 and
0.909 in order from smallest to largest.
“1090”
“99”
“809”
“900”
“890”
“909”
1.090
0.099
0.809
0.9 00
0.890
0.909
CAREFUL NOW!!!
1.09 is the largest
0.909 is the next number up
0.9 is the next number up
0.89 is the next number up
0.809 is the next number up
0.099 is the smallest
© T Madas
Ordering Decimals
Another Approach
© T Madas
Which out of 0.5 and 0.05 is larger?
0.5
0.05
We can add or remove zeros
at the end of a decimal,
without changing the number
The first number has 5 tenths
The second number has 0 tenths
Both numbers have zero units
We do not need to check anything else.
0.5 is the bigger number.
© T Madas
Which out of 0.12 and 0.102 is larger?
0.12
0.102
We do not need to check anything else.
0.12 is the bigger number.
The first number has 2 hundredths
The second number has 0 hundredths
Both numbers have 1 tenth
Both numbers have zero units
© T Madas
Place 0.503, 0.53 and 0.513 in order
from smallest to largest.
0.503
0.53
0.513
We do not need to check anything else.
0.53 is the largest
0.513 is the next number up
0.503 is the smallest
The 1st decimal has 0 hundredths
The 2nd decimal has 3 hundredths
The 3rd decimal has 1 hundredth
All numbers have 5 tenths
All numbers have zero units
© T Madas
Place 0.439, 0.049, 0.39 and 0.349 in
order from smallest to largest.
0.439
0.049
0.39
0.349
The 3rd decimal has 9 hundredths
The 4th decimal has 4 hundredths
0.439 is the largest and 0.049 the smallest
All numbers have zero units
© T Madas
Place 1.09, 0.099, 0.809, 0.9, 0.89 and
0.909 in order from smallest to largest.
1.09
0.099
0.809
0.9 00
0.89
0.909
1.090 is the largest
0.909 is the next number up
0.900 is the next number up
0.890 is the next number up
0.809 is the next number up
0.099 is the smallest
© T Madas
Practice
© T Madas
Put these decimals from smallest to largest
0.39, 0.039, 0.309
0.039 / 0.309 / 0.39
0.89, 0.199, 0.819
0.199 / 0.819 / 0.89
0.98, 0.9, 0.899
0.899 / 0.9 / 0.98
0.69, 0.689, 0.7
0.689 / 0.69 / 0.7
0.22, 0.202, 0.022
0.022 / 0.202 / 0.22
0.799, 0.8, 0.997
0.799 / 0.8 / 0.997
0.1, 0.072, 0.71, 0.017
0.017 / 0.072 / 0.1 / 0.71
© T Madas
Put these decimals from smallest to largest
0.054, 0.04, 0.4
0.04 / 0.054 / 0.4
0.7, 0.097, 0.179
0.097 / 0.179 / 0.7
0.098, 0.8, 0.199
0.098 / 0.199 / 0.8
0.062, 0.2, 0.196
0.062 / 0.196 / 0.2
0.23, 0.202, 0.3
0.202 / 0.23 / 0.3
0.134, 0.054, 0.14
0.054 / 0.134 / 0.14
0.064, 0.54, 0.446, 0.6
0.064 / 0.446 / 0.54 / 0.6
© T Madas
Put these decimals from smallest to largest
0.75, 0.705, 0.7, 0.095
0.095 / 0.7 / 0.705 / 0.75
0.024, 0.24, 0.042, 0.2
0.024 / 0.042 / 0.2 / 0.24
0.7, 0.071, 0.097, 0.97
0.071 / 0.097/ 0.7 / 0.97
0.154, 0.35, 0.054, 0.4
0.054 / 0.154 / 0.35 / 0.4
0.116, 0.6, 0.26, 0.16
0.116 / 0.16 / 0.26 / 0.6
© T Madas
Put these decimals from smallest to largest
0.07, 0.705, 0.7, 0.097
0.07 / 0.097 / 0.7 / 0.705
0.024, 0.24, 0.042, 0.2
0.024 / 0.042 / 0.2 / 0.24
0.18, 0.1, 0.028, 0.08
0.028 / 0.08/ 0.1 / 0.18
0.54, 0.055, 0.154, 0.4
0.055 / 0.154 / 0.4 / 0.54
0.62, 0.072, 0.6, 0.172
0.072 / 0.172 / 0.6 / 0.62
© T Madas
Put these decimals from smallest to largest
0.11, 0.044, 0.0414, 0.4
0.0414 / 0.044 / 0.11 / 0.4
0.7, 0.074, 0.74, 0.0744, 0.07
0.07 / 0.074 / 0.0744 / 0.7 /0.74
0.0099, 0.19, 0.91, 0.9, 0.091
0.0099 / 0.091 / 0.19 / 0.9 / 0.91
0.0098, 0.098, 0.018, 0.8, 0.18
0.0098 / 0.018 / 0.098 / 0.18 / 0.8
0.062, 0.66, 0.0096, 0.6, 0.006
0.006 / 0.0096 / 0.062 / 0.6 / 0.66
© T Madas
© T Madas
How do we write in maths that a number
is bigger than another?
6 is bigger than 4
6
>4
9 is bigger than 2
9
>2
x is bigger than y
x >y
4 is smaller than 6
4
<6
2 is smaller than 9
2
<9
y is smaller than x
y <x
© T Madas
Put these decimals from smallest to largest,
using the inequality symbols.
0.39, 0.039, 0.309
0.039 < 0.309 < 0.39
0.89, 0.199, 0.819
0.199 < 0.819 < 0.89
0.98, 0.908, 0.899
0.899 < 0.908 < 0.98
0.69, 0.689, 0.7
0.689 < 0.69 < 0.7
0.22, 0.202, 0.022
0.022 < 0.202 < 0.22
0.799, 0.8, 0.997
0.799 < 0.8 < 0.997
0.17, 0.071, 0.71, 0.017
0.017 < 0.071 < 0.17 < 0.71
© T Madas
Put these decimals from largest to smallest,
using the inequality symbols.
0.054, 0.04, 0.405
0.405 > 0.054 > 0.04
0.19, 0.091, 0.199
0.199 > 0.19 > 0.091
0.198, 0.189, 0.099
0.198 > 0.189 > 0.099
0.619, 0.691, 0.096
0.691 > 0.619 > 0.096
0.23, 0.302, 0.032
0.302 > 0.23 > 0.032
0.45, 0.54, 0.054
0.54 > 0.45 > 0.054
0.564, 0.465, 0.546, 0.456
0.564 > 0.546 > 0.465 > 0.456
© T Madas
© T Madas
Put these decimals from smallest to largest
0.39, 0.039, 0.309
0.039 / 0.309 / 0.39
0.89, 0.199, 0.819
0.199 / 0.819 / 0.89
0.98, 0.9, 0.899
0.899 / 0.9 / 0.98
0.69, 0.689, 0.7
0.689 / 0.69 / 0.7
0.22, 0.202, 0.022
0.022 / 0.202 / 0.22
0.799, 0.8, 0.997
0.799 / 0.8 / 0.997
0.1, 0.072, 0.71, 0.017
0.017 / 0.072 / 0.1 / 0.71
© T Madas
Put these decimals from smallest to largest
0.054, 0.04, 0.4
0.04 / 0.054 / 0.4
0.7, 0.097, 0.179
0.097 / 0.179 / 0.7
0.098, 0.8, 0.199
0.098 / 0.199 / 0.8
0.062, 0.2, 0.196
0.062 / 0.196 / 0.2
0.23, 0.202, 0.3
0.202 / 0.23 / 0.3
0.134, 0.054, 0.14
0.054 / 0.134 / 0.14
0.064, 0.54, 0.446, 0.6
0.064 / 0.446 / 0.54 / 0.6
© T Madas
Put these decimals from smallest to largest
0.75, 0.705, 0.7, 0.095
0.095 / 0.7 / 0.705 / 0.75
0.024, 0.24, 0.042, 0.2
0.024 / 0.042 / 0.2 / 0.24
0.7, 0.071, 0.097, 0.97
0.071 / 0.097/ 0.7 / 0.97
0.154, 0.35, 0.054, 0.4
0.054 / 0.154 / 0.35 / 0.4
0.116, 0.6, 0.26, 0.16
0.116 / 0.16 / 0.26 / 0.6
© T Madas
Put these decimals from smallest to largest
0.07, 0.705, 0.7, 0.097
0.07 / 0.097 / 0.7 / 0.705
0.024, 0.24, 0.042, 0.2
0.024 / 0.042 / 0.2 / 0.24
0.18, 0.1, 0.028, 0.08
0.028 / 0.08/ 0.1 / 0.18
0.54, 0.055, 0.154, 0.4
0.055 / 0.154 / 0.4 / 0.54
0.62, 0.072, 0.6, 0.172
0.072 / 0.172 / 0.6 / 0.62
© T Madas
Put these decimals from smallest to largest
0.11, 0.044, 0.0414, 0.4
0.0414 / 0.044 / 0.11 / 0.4
0.7, 0.074, 0.74, 0.0744, 0.07
0.07 / 0.074 / 0.0744 / 0.7 /0.74
0.0099, 0.19, 0.91, 0.9, 0.091
0.0099 / 0.091 / 0.19 / 0.9 / 0.91
0.0098, 0.098, 0.018, 0.8, 0.18
0.0098 / 0.018 / 0.098 / 0.18 / 0.8
0.062, 0.66, 0.0096, 0.6, 0.006
0.006 / 0.0096 / 0.062 / 0.6 / 0.66
© T Madas
Put these decimals from smallest to largest,
using the inequality symbols.
0.39, 0.039, 0.309
0.039 < 0.309 < 0.39
0.89, 0.199, 0.819
0.199 < 0.819 < 0.89
0.98, 0.908, 0.899
0.899 < 0.908 < 0.98
0.69, 0.689, 0.7
0.689 < 0.69 < 0.7
0.22, 0.202, 0.022
0.022 < 0.202 < 0.22
0.799, 0.8, 0.997
0.799 < 0.8 < 0.997
0.17, 0.071, 0.71, 0.017
0.017 < 0.071 < 0.17 < 0.71
© T Madas
Put these decimals from largest to smallest,
using the inequality symbols.
0.054, 0.04, 0.405
0.405 > 0.54 > 0.04
0.19, 0.091, 0.199
0.199 > 0.19 > 0.091
0.198, 0.189, 0.099
0.198 > 0.189 > 0.099
0.619, 0.691, 0.096
0.691 > 0.619 > 0.096
0.23, 0.302, 0.032
0.302 > 0.23 > 0.032
0.45, 0.54, 0.054
0.54 > 0.45 > 0.054
0.564, 0.465, 0.546, 0.456
0.564 > 0.546 > 0.465 > 0.456
© T Madas
© T Madas