The distance between the Earth and the moon is 384 712 303 metres.
How far is that to the nearest million? (1 mark)
Aussie Maths & Science Teachers: Save your time with SmarterEd
The distance between the Earth and the moon is 384 712 303 metres.
How far is that to the nearest million? (1 mark)
`385\ 000\ 000`
`385\ 000\ 000`
Which is the correct expression for 96.4851 rounded to 2 decimal places?
`C`
`96.4851=96.49`
`=>C`
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?
`B`
`20\ 156 + 18\ 397 + 29\ 981`
`= 68\ 534`
`= 69\ 000\ text{(nearest 1000)}`
`=>B`
A tennis racquet length is measured at 68.58 centimetres.
Express this measurement in metres, rounded to two decimal places. (2 marks)
`0.69\ text{m}`
`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.)}`
A solution of acid is measures 12 982 millilitres.
Express this measurement in litres, correct to one decimal place. (2 marks)
`13.0\ text{litres}`
`text{12 982 mL}\ =(12\ 982)/1000 = 12.982\ text{litres}`
`12.982\ text{L}\ = 13.0\ text{L (to 1 d.p.)}`
What is 5.6582 rounded to two decimal places?
`D`
`5.6592 = 5.66\ text{(to 2 d.p.)}`
`=> D`
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)
`3.85%`
`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.)}` |