1. © T Madas

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

25. Put these decimals from smallest to largest
0.39, 0.039, 0.309
0.89, 0.199, 0.819
0.039 / / 0.39
0.199 / / 0.89
0.98, 0.9, 0.899
0.69, 0.689, 0.7
0.899 / 0.9 / 0.98
0.689 / 0.69 / 0.7
0.22, 0.202, 0.022
0.799, 0.8, 0.997
0.022 / / 0.22
0.799 / 0.8 / 0.997
0.1, 0.072, 0.71, 0.017
0.017 / / 0.1 / 0.71
© T Madas

26. Put these decimals from smallest to largest
0.054, 0.04, 0.4
0.7, 0.097, 0.179
0.04 / / 0.4
0.097 / / 0.7
0.098, 0.8, 0.199
0.062, 0.2, 0.196
0.098 / / 0.8
0.062 / / 0.2
0.23, 0.202, 0.3
0.134, 0.054, 0.14
0.202 / 0.23 / 0.3
0.054 / / 0.14
0.064, 0.54, 0.446, 0.6
0.064 / / 0.54 / 0.6
© T Madas

27. Put these decimals from smallest to largest
0.75, 0.705, 0.7, 0.095
0.095 / 0.7 / / 0.75
0.024, 0.24, 0.042, 0.2
0.024 / / 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 / / 0.35 / 0.4
0.116, 0.6, 0.26, 0.16
0.116 / 0.16 / 0.26 / 0.6
© T Madas

28. Put these decimals from smallest to largest
0.07, 0.705, 0.7, 0.097
0.07 / / 0.7 / 0.705
0.024, 0.24, 0.042, 0.2
0.024 / / 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 / / 0.4 / 0.54
0.62, 0.072, 0.6, 0.172
0.072 / / 0.6 / 0.62
© T Madas

29. Put these decimals from smallest to largest
0.11, 0.044, , 0.4
/ / 0.11 / 0.4
0.7, 0.074, 0.74, , 0.07
0.07 / / / 0.7 /0.74
0.0099, 0.19, 0.91, 0.9, 0.091
/ / 0.19 / 0.9 / 0.91
0.0098, 0.098, 0.018, 0.8, 0.18
/ / / 0.18 / 0.8
0.062, 0.66, , 0.6, 0.006
0.006 / / / 0.6 / 0.66
© T Madas

30. Put these decimals from smallest to largest, using the inequality symbols.
0.39, 0.039, 0.309
0.89, 0.199, 0.819
0.039 < < 0.39
0.199 < < 0.89
0.98, 0.908, 0.899
0.69, 0.689, 0.7
0.899 < < 0.98
0.689 < 0.69 < 0.7
0.22, 0.202, 0.022
0.799, 0.8, 0.997
0.022 < < 0.22
0.799 < 0.8 < 0.997
0.17, 0.071, 0.71, 0.017
0.017 < < 0.17 < 0.71
© T Madas

31. Put these decimals from largest to smallest, using the inequality symbols.
0.054, 0.04, 0.405
0.19, 0.091, 0.199
0.405 > 0.54 > 0.04
0.199 > 0.19 > 0.091
0.198, 0.189, 0.099
0.619, 0.691, 0.096
0.198 > > 0.099
0.691 > > 0.096
0.23, 0.302, 0.032
0.45, 0.54, 0.054
0.302 > 0.23 > 0.032
0.54 > 0.45 > 0.054
0.564, 0.465, 0.546, 0.456
0.564 > > > 0.456
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32. © T Madas