smc-4461-30-Ordering decimals

Decimals, SM-Bank 075 MC

Which number line correctly shows the positions of 0.45, 0.05 and 0.405.?

A.
B.
C.
D.

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\(D\)

Show Worked Solution

\(\text{Placing decimals in order: }\ \ 0.05\ ,\ 0.405\ ,\ 0.45\)

\(\Rightarrow D\)

Decimals, SM-Bank 048

Arrange these decimals and fractions in ascending order. (2 marks)

`9/10 , 0.09 , 91/100 , 0.099, 10/11`

--- 2 WORK AREA LINES (style=lined) ---

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`0.09, 0.099 , 9/10 , 10/11 , 91/100`

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`text(Converting all to decimals)`

`=> 9/10 = 0.9`

`=> 91/100 = 0.91`

`=> 10/11 = 0.\overline{9090}`

`:.\ text(Descending order is )`

`0.09 , 0.099 , 0.9 , 0.\overline{9090} , 0.91=> 0.09, 0.099 , 9/10 , 10/11 , 91/100`

Decimals, SM-Bank 047

Arrange these decimals and fractions in descending order. (2 marks)

`1/4 , 0.21 , 4/5 , 0.205, 1/3`

--- 2 WORK AREA LINES (style=lined) ---

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`4/5 , 1/3 , 1/4 , 0.21 , 0.205`

Show Worked Solution

`text(Converting all to decimals)`

`=> 1/4 = 0.25`

`=> 4/5 = 0.8`

`=> 1/3 = 0.\dot{3}`

`:.\ text(Descending order is )`

`0.8 , 0.\dot{3} , 0.25 , 0.21 , 0.205 => 4/5 , 1/3 , 1/4 , 0.21 , 0.205`

Decimals, SM_Bank 024

John measured the water depth at the end of his jetty for five days in a row.

The measurements are summarised in the table below.

	Monday	Tuesday	Wednesday	Thursday	Friday
Water Level	1.24 m	1.07 m	1.42 m	1.15 m	1.38 m

On which day was the water level the highest? (1 mark)

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On which day was the water level the lowest? (1 mark)

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On which day was the median (middle) water level measurement? (1 mark)

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What is the difference between the highest and lowest water levels? (2 marks)

--- 3 WORK AREA LINES (style=lined) ---

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a. `text(Wednesday)`

b. `text(Tuesday)`

c. `text(Monday)`

d. `0.35\ text(metres)`

Show Worked Solution

`text(Order from lowest to highest water level)`

`=>\ text(Tues , Thurs , Mon , Fri , Wed) `

a. `text(Highest) = 1.42\ text(m) =>text(Wednesday)`

b. `text(Lowest) = 1.07\ text(m) =>text(Tuesday)`

c. `text(Middle) = 1.24\ text(m) =>text(Monday)`

d. `text(Difference between highest and lowest)`

`=1.42-1.07`

`= 0.35\ text(metres)`

Decimals, SM-Bank 023

Arrange these decimal numbers in descending order. (2 marks)

`10.045 , 10.04 , 10.450 , 10.145 , 10.405`

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`10.450 , 10.405 , 10.145 , 10.045 , 10.04 `

Show Worked Solution

`text(Order from largest to smallest)`

`=> 10.450 , 10.405 , 10.145 , 10.045 , 10.04 `

Decimals, SM-Bank 022

Arrange these decimal numbers in ascending order. (2 marks)

`4.08 , 4.83 , 4.38 , 4.88 , 4.80`

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`4.08 , 4.38 , 4.80 , 4.83 , 4.88`

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`text(Order from smallest to largest)`

`=> 4.08 , 4.38 , 4.80 , 4.83 , 4.88`

Decimals, SM-Bank 016 MC

Which number is greater than 0.05?

`0.2`
`0.007`
`0.04`
`0.0076`

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`A`

Show Worked Solution

`text(Numbers in descending order are:)`

`0.20, 0.05, 0.04, 0.0076, 0.0070`

`:.\0.2\ text(is greater than 0.05)`

`=> A`

Decimals, SM-Bank 014 MC

Roger had tests to check his health that are summarised in the table below.

Test	Normal range	Roger's result
Resting heart rate	60 to 95	92
Blood sugar	4.2 to 6.1	4.1
Vitamin C	0.4 to 1.7	0.5

For which tests were Roger's results within the normal range?

Resting heart rate and blood sugar
Blood sugar and vitamin C only
Resting heart rate only
Resting heart rate and vitamin C only

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`D`

Show Worked Solution

`text(Checking each test:)`

`text(Resting heart rate → 92 is within 60 and 95)`

`text(Blood sugar → 4.1 is not within 4.2 and 6.1 )`

`text(Vitamin C → 0.5 is within 0.4 and 1.7)`

`:.\ text(Resting heart rate and vitamin C only)`

`text(are within the normal range.)`

`=> D`

Decimals, SM-Bank 001 MC

Four students did a standing long jump and the results were recorded.

Which student had the longest jump?

Leon 2.10 m
Seth 1.20 m
John 2.01 m
Ronan 2.09 m

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`A`

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`text(Leon 2.10 m)`

`=> A`

Decimals, SM-Bank 002 MC

India recorded the results of a 400 metres running race final in the table below.

Ist Place	52.26 seconds
2nd Place	52.62 seconds
3rd Place	?
4th Place	53.19 seconds

The time of the runner who came in 3rd place could be

`text(52.57 seconds.)`
`text(52.71 seconds.)`
`text(53.21 seconds.)`
`text(53.94 seconds.)`

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`B`

Show Worked Solution

`text{Eliminate A as it lies between 1st and 2nd place.}`

`text{Eliminate C and D as both are larger than 4th place.}`

`text{52.71 is slower than 2nd place (52.62) but faster than 4th place (53.19).}`

`=> B`

Decimals, SM-Bank 004 MC

Kelly measures the length of fish she catches for her research.


A.	B.	C.	D.

Which fish has a length closest to 25 cm?

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`A`

Show Worked Solution

`text(Difference of each option:)`

`25.14-25`	`= 0.14\ text(cm)`
`25-24.8`	`= 0.20\ text(cm)`
`25-24.76`	`= 0.24\ text(cm)`
`25.3-25`	`= 0.30\ text(cm)`

`:. 25.14\ text(cm is closest.)`

`=> A`

Decimals, SM-Bank 006

Richard is a runner.

The length of his last 4 half marathon distances are recorded in the table below.

Half marathon	Distance (km)
1	21.1
2	20.35
3	20.295
4	22.095

Which half marathon had the shortest distance? (1 mark)

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`text(Half marathon 3)`

Show Worked Solution

`20.295\ text(is the shortest distance.)`

`:.\ text(Half marathon 3 was the shortest.)`

Decimals, SM-Bank 013 MC

The number 0.67 is between

0.06 and 0.6
0.6 and 1
6 and 7
60 and 70

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`B`

Show Worked Solution

`0.67\ text(is greater than 0.6 and less than 1.`

`:.\ 0.67\ text(lies between 0.6 and 1.)`

`=> B`