© 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...

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

0.50.05

0.5 is larger than 0.05

You can think of this as

0.120.102

0 You can think of this as 120You can think of this as 102

0.12 is larger than 0.102

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”

Place 0.439, 0.049, 0.39 and 0.349 in order from smallest to largest.

0.3900.349

0.439 is the largest

“439”“49”

“390”“349”

0.8900.909

Place 1.09, 0.099, 0.809, 0.9, 0.89 and 0.909 in order from smallest to largest.

1.09 is the largest

0.9 is the next number up0.89 is the next number up

CAREFUL NOW!!!

“1090”

“99”

“809”

“900”

“890”

“909”

Ordering DecimalsAnother Approach

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.

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

Place 0.503, 0.53 and 0.513 in order from smallest to largest.

0.5030.53

All numbers have zero units

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

Place 0.439, 0.049, 0.39 and 0.349 in order from smallest to largest.

0.390.349

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

0.890.909

Place 1.09, 0.099, 0.809, 0.9, 0.89 and 0.909 in order from smallest to largest.

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

Practice

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

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

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

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

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

How do we write in maths that a number is bigger than another?

6 is bigger than 4 6 >

4 is smaller than 64 <

69 is bigger than 2 9 >

2 is smaller than 92 <

9x is bigger than y x > y

y is smaller than xy < x

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

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.

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

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

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

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

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, 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

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. 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...

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