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© T Madas
Which out of 0.5 and 0.05 is larger?
0.50.05
We can add or remove zeros at the end of a decimal, without changing the numberFACT0
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Which out of 0.5 and 0.05 is larger?
0.50.05
0
0.5 is larger than 0.05
You can think of this as
You can think of this as
5
50
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Which out of 0.12 and 0.102 is larger?
0.120.102
0 You can think of this as 120You can think of this as 102
0.12 is larger than 0.102
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Place 0.503, 0.53 and 0.513 in order from smallest to largest.
0.5030.5300.513
0.503 is the smallest
0.513 is the next number up
0.53 is the largest
“503”“530”“513”
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Place 0.439, 0.049, 0.39 and 0.349 in order from smallest to largest.
0.439
0.3900.349
0.049 is the smallest
0.349 is the next number up
0.439 is the largest
0.049
0.39 is the next number up
“439”“49”
“390”“349”
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0.8900.909
0.809
Place 1.09, 0.099, 0.809, 0.9, 0.89 and 0.909 in order from smallest to largest.
0.099
0.900
0.099 is the smallest
0.909 is the next number up
1.09 is the largest
0.809 is the next number up
1.090
0.9 is the next number up0.89 is the next number up
CAREFUL NOW!!!
“1090”
“99”
“809”
“900”
“890”
“909”
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Ordering DecimalsAnother Approach
Ordering DecimalsAnother Approach
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Which out of 0.5 and 0.05 is larger?
0.50.05
We can add or remove zeros at the end of a decimal, without changing the numberFACT
Both numbers have zero units
The first number has 5 tenthsThe second number has 0 tenths
We do not need to check anything else.0.5 is the bigger number.
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Which out of 0.12 and 0.102 is larger?
0.120.102
Both numbers have zero units
Both numbers have 1 tenth
We do not need to check anything else.
0.12 is the bigger number.
The first number has 2 hundredthsThe second number has 0 hundredths
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Place 0.503, 0.53 and 0.513 in order from smallest to largest.
0.5030.53
All numbers have zero units
0.513
All numbers have 5 tenths
The 1st decimal has 0 hundredthsThe 2nd decimal has 3 hundredthsThe 3rd decimal has 1 hundredth
We do not need to check anything else.
0.53 is the largest0.513 is the next number up0.503 is the smallest
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Place 0.439, 0.049, 0.39 and 0.349 in order from smallest to largest.
0.439
0.390.349
0.049
All numbers have zero units
0.439 is the largest and 0.049 the smallest
The 3rd decimal has 9 hundredthsThe 4th decimal has 4 hundredths
© T Madas
0.890.909
0.809
Place 1.09, 0.099, 0.809, 0.9, 0.89 and 0.909 in order from smallest to largest.
0.099
0.900
1.09 1.090 is the largest0.909 is the next number up0.900 is the next number up0.890 is the next number up0.809 is the next number up0.099 is the smallest
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Practice
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Put these decimals from smallest to largest
0.39, 0.039, 0.3090.039 / 0.309 / 0.39
0.98, 0.9, 0.8990.899 / 0.9 / 0.98
0.1, 0.072, 0.71, 0.0170.017 / 0.072 / 0.1 / 0.71
0.89, 0.199, 0.8190.199 / 0.819 / 0.89
0.69, 0.689, 0.70.689 / 0.69 / 0.7
0.22, 0.202, 0.0220.022 / 0.202 / 0.22
0.799, 0.8, 0.9970.799 / 0.8 / 0.997
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0.054, 0.04, 0.40.04 / 0.054 / 0.4
0.098, 0.8, 0.1990.098 / 0.199 / 0.8
0.064, 0.54, 0.446, 0.60.064 / 0.446 / 0.54 / 0.6
0.7, 0.097, 0.1790.097 / 0.179 / 0.7
0.062, 0.2, 0.1960.062 / 0.196 / 0.2
0.23, 0.202, 0.30.202 / 0.23 / 0.3
0.134, 0.054, 0.140.054 / 0.134 / 0.14
Put these decimals from smallest to largest
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0.75, 0.705, 0.7, 0.0950.095 / 0.7 / 0.705 / 0.75
0.024, 0.24, 0.042, 0.20.024 / 0.042 / 0.2 / 0.24
0.7, 0.071, 0.097, 0.970.071 / 0.097/ 0.7 / 0.97
0.154, 0.35, 0.054, 0.40.054 / 0.154 / 0.35 / 0.4
0.116, 0.6, 0.26, 0.160.116 / 0.16 / 0.26 / 0.6
Put these decimals from smallest to largest
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0.07, 0.705, 0.7, 0.0970.07 / 0.097 / 0.7 / 0.705
0.024, 0.24, 0.042, 0.20.024 / 0.042 / 0.2 / 0.24
0.18, 0.1, 0.028, 0.080.028 / 0.08/ 0.1 / 0.18
0.54, 0.055, 0.154, 0.40.055 / 0.154 / 0.4 / 0.54
0.62, 0.072, 0.6, 0.1720.072 / 0.172 / 0.6 / 0.62
Put these decimals from smallest to largest
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0.11, 0.044, 0.0414, 0.40.0414 / 0.044 / 0.11 / 0.4
0.7, 0.074, 0.74, 0.0744, 0.070.07 / 0.074 / 0.0744 / 0.7 /0.740.0099, 0.19, 0.91, 0.9, 0.0910.0099 / 0.091 / 0.19 / 0.9 / 0.910.0098, 0.098, 0.018, 0.8, 0.180.0098 / 0.018 / 0.098 / 0.18 / 0.80.062, 0.66, 0.0096, 0.6, 0.0060.006 / 0.0096 / 0.062 / 0.6 / 0.66
Put these decimals from smallest to largest
© T Madas
© T Madas
How do we write in maths that a number is bigger than another?
6 is bigger than 4 6 >
4
4 is smaller than 64 <
69 is bigger than 2 9 >
2
2 is smaller than 92 <
9x is bigger than y x > y
y is smaller than xy < x
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Put these decimals from smallest to largest, using the inequality symbols.
0.39, 0.039, 0.3090.039 < 0.309 < 0.39
0.98, 0.908, 0.8990.899 < 0.908 < 0.98
0.17, 0.071, 0.71, 0.0170.017 < 0.071 < 0.17 < 0.71
0.89, 0.199, 0.8190.199 < 0.819 < 0.89
0.69, 0.689, 0.70.689 < 0.69 < 0.7
0.22, 0.202, 0.0220.022 < 0.202 < 0.22
0.799, 0.8, 0.9970.799 < 0.8 < 0.997
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0.054, 0.04, 0.405
0.405 > 0.054 > 0.04
0.198, 0.189, 0.0990.198 > 0.189 > 0.099
0.564, 0.465, 0.546, 0.4560.564 > 0.546 > 0.465 > 0.456
0.19, 0.091, 0.199
0.199 > 0.19 > 0.091
0.619, 0.691, 0.0960.691 > 0.619 > 0.096
0.23, 0.302, 0.0320.302 > 0.23 > 0.032
0.45, 0.54, 0.0540.54 > 0.45 > 0.054
Put these decimals from largest to smallest, using the inequality symbols.
© T Madas
© T Madas
Put these decimals from smallest to largest
0.39, 0.039, 0.3090.039 / 0.309 / 0.39
0.98, 0.9, 0.8990.899 / 0.9 / 0.98
0.1, 0.072, 0.71, 0.0170.017 / 0.072 / 0.1 / 0.71
0.89, 0.199, 0.8190.199 / 0.819 / 0.89
0.69, 0.689, 0.70.689 / 0.69 / 0.7
0.22, 0.202, 0.0220.022 / 0.202 / 0.22
0.799, 0.8, 0.9970.799 / 0.8 / 0.997
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0.054, 0.04, 0.40.04 / 0.054 / 0.4
0.098, 0.8, 0.1990.098 / 0.199 / 0.8
0.064, 0.54, 0.446, 0.60.064 / 0.446 / 0.54 / 0.6
0.7, 0.097, 0.1790.097 / 0.179 / 0.7
0.062, 0.2, 0.1960.062 / 0.196 / 0.2
0.23, 0.202, 0.30.202 / 0.23 / 0.3
0.134, 0.054, 0.140.054 / 0.134 / 0.14
Put these decimals from smallest to largest
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0.75, 0.705, 0.7, 0.0950.095 / 0.7 / 0.705 / 0.75
0.024, 0.24, 0.042, 0.20.024 / 0.042 / 0.2 / 0.24
0.7, 0.071, 0.097, 0.970.071 / 0.097/ 0.7 / 0.97
0.154, 0.35, 0.054, 0.40.054 / 0.154 / 0.35 / 0.4
0.116, 0.6, 0.26, 0.160.116 / 0.16 / 0.26 / 0.6
Put these decimals from smallest to largest
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0.07, 0.705, 0.7, 0.0970.07 / 0.097 / 0.7 / 0.705
0.024, 0.24, 0.042, 0.20.024 / 0.042 / 0.2 / 0.24
0.18, 0.1, 0.028, 0.080.028 / 0.08/ 0.1 / 0.18
0.54, 0.055, 0.154, 0.40.055 / 0.154 / 0.4 / 0.54
0.62, 0.072, 0.6, 0.1720.072 / 0.172 / 0.6 / 0.62
Put these decimals from smallest to largest
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0.11, 0.044, 0.0414, 0.40.0414 / 0.044 / 0.11 / 0.4
0.7, 0.074, 0.74, 0.0744, 0.070.07 / 0.074 / 0.0744 / 0.7 /0.740.0099, 0.19, 0.91, 0.9, 0.0910.0099 / 0.091 / 0.19 / 0.9 / 0.910.0098, 0.098, 0.018, 0.8, 0.180.0098 / 0.018 / 0.098 / 0.18 / 0.80.062, 0.66, 0.0096, 0.6, 0.0060.006 / 0.0096 / 0.062 / 0.6 / 0.66
Put these decimals from smallest to largest
© T Madas
Put these decimals from smallest to largest, using the inequality symbols.
0.39, 0.039, 0.3090.039 < 0.309 < 0.39
0.98, 0.908, 0.8990.899 < 0.908 < 0.98
0.17, 0.071, 0.71, 0.0170.017 < 0.071 < 0.17 < 0.71
0.89, 0.199, 0.8190.199 < 0.819 < 0.89
0.69, 0.689, 0.70.689 < 0.69 < 0.7
0.22, 0.202, 0.0220.022 < 0.202 < 0.22
0.799, 0.8, 0.9970.799 < 0.8 < 0.997
© T Madas
0.054, 0.04, 0.405
0.405 > 0.54 > 0.04
0.198, 0.189, 0.0990.198 > 0.189 > 0.099
0.564, 0.465, 0.546, 0.4560.564 > 0.546 > 0.465 > 0.456
0.19, 0.091, 0.199
0.199 > 0.19 > 0.091
0.619, 0.691, 0.0960.691 > 0.619 > 0.096
0.23, 0.302, 0.0320.302 > 0.23 > 0.032
0.45, 0.54, 0.0540.54 > 0.45 > 0.054
Put these decimals from largest to smallest, using the inequality symbols.
© T Madas