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Numbers of Any Magnitude, SMB-026

The distance between the Earth and the moon is 384 712 303 metres.

How far is that to the nearest million?  (1 mark)

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`385\ 000\ 000`

Show Worked Solution

`385\ 000\ 000`

Filed Under: Numbers of Any Magnitude Tagged With: num-title-ct-corea, smc-4232-40-Rounding

Numbers of Any Magnitude, SMB-025 MC

Which is the correct expression for 96.4851 rounded to 2 decimal places?

  1. 96.00
  2. 96.48
  3. 96.49
  4. 96.50
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`C`

Show Worked Solution

`96.4851=96.49`

`=>C`

Filed Under: Numbers of Any Magnitude Tagged With: num-title-ct-corea, smc-4232-40-Rounding

Numbers of Any Magnitude, SMB-024 MC

The first three days of the Brisbane cricket test had the following attendances:

\begin{array} {|l|c|}
\hline
\rule{0pt}{2.5ex}\text{Day 1}\rule[-1ex]{0pt}{0pt} & 20\ 156\\
\hline
\rule{0pt}{2.5ex}\text{Day 2}\rule[-1ex]{0pt}{0pt} & 18\ 397\\
\hline
\rule{0pt}{2.5ex}\text{Day 3}\rule[-1ex]{0pt}{0pt} & 29\ 981\\
\hline
\end{array}

What was the total crowd over the first 3 days, to the nearest 1000?

  1. `68\ 000`
  2. `69\ 000`
  3. `70\ 000`
  4. `71\ 000`
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`B`

Show Worked Solution

`20\ 156 + 18\ 397 + 29\ 981`

`= 68\ 534`

`= 69\ 000\ text{(nearest 1000)}`
 

`=>B`

Filed Under: Numbers of Any Magnitude Tagged With: num-title-ct-corea, smc-4232-40-Rounding

Numbers of Any Magnitude, SMB-017

A tennis racquet length is measured at 68.58 centimetres.

Express this measurement in metres, rounded to two decimal places.  (2 marks)

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`0.69\ text{m}`

Show Worked Solution

`text{Convert cm → metres:}`

`68.58\ text{cm}\ = 68.58/100 = 0.6858\ text{m}`

`0.6858\ text{m}\ = 0.69\ text{m (to 2 d.p.)}`

Filed Under: Numbers of Any Magnitude Tagged With: num-title-ct-corea, smc-4232-40-Rounding, smc-4232-60-Unit conversion

Numbers of Any Magnitude, SMB-016

A solution of acid is measures 12 982 millilitres.

Express this measurement in litres, correct to one decimal place.  (2 marks)

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`13.0\ text{litres}`

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`text{12 982 mL}\ =(12\ 982)/1000 = 12.982\ text{litres}`

`12.982\ text{L}\ = 13.0\ text{L (to 1 d.p.)}`

Filed Under: Numbers of Any Magnitude Tagged With: num-title-ct-corea, smc-4232-40-Rounding, smc-4232-60-Unit conversion

Numbers of Any Magnitude, SMB-012 MC

What is 5.6582 rounded to two decimal places?

  1. `5.6`
  2. `5.7`
  3. `5.65`
  4. `5.66`
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`D`

Show Worked Solution

`5.6592 = 5.66\ text{(to 2 d.p.)}`

`=> D`

Filed Under: Numbers of Any Magnitude Tagged With: num-title-ct-corea, smc-4232-40-Rounding

Numbers of Any Magnitude, SMB-006

A dinosaur fossil is measured to be 1.3 metres in length.

What is the percentage error in this measurement, giving your answer correct to two decimal places?  (2 marks)

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`3.85%`

Show Worked Solution

`text{Absolute error} = 1/2 xx \text{precision} = 1/2 xx 0.1 = 0.05\ text{m}`

`%  text(error)` `= frac(0.05)(1.3) xx 100`
  `= 3.84615%`
  `=3.85%\ text{(to 2 d.p.)}`

Filed Under: Numbers of Any Magnitude Tagged With: num-title-ct-corea, smc-4232-10-Measurement error, smc-4232-40-Rounding

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