© 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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© T Madas

Transcript of © 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...

Page 1: © 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 FACT 0.

© T Madas

Page 2: © 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 FACT 0.

© 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

Page 3: © 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 FACT 0.

© T Madas

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

Page 4: © 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 FACT 0.

© T Madas

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

Page 5: © 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 FACT 0.

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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”

Page 6: © 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 FACT 0.

© T Madas

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”

Page 7: © 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 FACT 0.

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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”

Page 8: © 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 FACT 0.

© T Madas

Ordering DecimalsAnother Approach

Ordering DecimalsAnother Approach

Page 9: © 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 FACT 0.

© 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 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.

Page 10: © 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 FACT 0.

© T Madas

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

Page 11: © 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 FACT 0.

© T Madas

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

Page 12: © 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 FACT 0.

© T Madas

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

Page 13: © 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 FACT 0.

© 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

Page 14: © 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 FACT 0.

© T Madas

Practice

Page 15: © 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 FACT 0.

© 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

Page 16: © 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 FACT 0.

© T Madas

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

Page 17: © 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 FACT 0.

© T Madas

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

Page 18: © 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 FACT 0.

© T Madas

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

Page 19: © 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 FACT 0.

© T Madas

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

Page 20: © 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 FACT 0.

© T Madas

Page 21: © 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 FACT 0.

© 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

Page 22: © 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 FACT 0.

© 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

Page 23: © 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 FACT 0.

© T Madas

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.

Page 24: © 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 FACT 0.

© T Madas

Page 25: © 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 FACT 0.

© 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

Page 26: © 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 FACT 0.

© T Madas

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

Page 27: © 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 FACT 0.

© T Madas

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

Page 28: © 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 FACT 0.

© T Madas

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

Page 29: © 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 FACT 0.

© T Madas

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

Page 30: © 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 FACT 0.

© 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

Page 31: © 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 FACT 0.

© 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.

Page 32: © 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 FACT 0.

© T Madas