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Number, NAP-J3-NC03

Locky got a new car and recorded how many litres of petrol he put into the car over 4 weeks.

Week 1: 62.35 litres

Week 2: 58.65 litres

Week 3: 44.95 litres

Week 4: 53.75 litres

To estimate how many litres of petrol he put into his car over the 4 weeks, Locky rounded the weekly amounts to the nearest 10 litres and added them.

How much was Locky's estimate?

`240\ text(litres)` `230\ text(litres)` `210\ text(litres)` `200\ text(litres)`
 
 
 
 
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`210\ text(litres)`

Show Worked Solution
`text{Estimate (after rounding)}` `= 60 + 60 + 40 + 50`
  `= 210\ text(litres)`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 7, smc-3143-60-Rounding, smc-3143-70-Estimates, smc-676-60-Rounding, smc-676-70-Estimates

Number, NAP-D4-CA08

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

How far is that to the nearest million?

 
`380\ 000\ 000`
 
`385\ 000\ 000`
 
`384\ 700\ 000`
 
`384\ 710\ 000`
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`385\ 000\ 000`

Show Worked Solution

`385\ 000\ 000`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 7, smc-3143-60-Rounding, smc-3173-60-Rounding, smc-890-60-Rounding

Number, NAP-B3-CA06

The area of New South Wales is  1 896 790  square kilometres.

What is the area rounded to the nearest thousand square kilometres?

`1\ 000\ 000` `1\ 800\ 000` `1\ 896\ 000` `1\ 897\ 000`
 
 
 
 
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`1\ 897\ 000`

Show Worked Solution

`1\ 897\ 000`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 6, smc-3143-60-Rounding, smc-676-60-Rounding

Number, NAP-E3-CA20

The number 27 982 can be rounded in different ways.

Which two ways of rounding give the same answer?

 
rounding to the nearest ten and nearest hundred
 
rounding to the nearest ten and nearest thousand
 
rounding to the nearest hundred and nearest thousand
 
rounding to the nearest thousand and nearest ten thousand
Show Answers Only

`text(rounding to the nearest hundred and nearest thousand)`

Show Worked Solution

`27\ 982 = 28\ 000\ \ text{(rounding to nearest 100)}`

`27\ 982 = 28\ 000\ \ text{(rounding to nearest 1000)}`

`:.\ text(Rounding to the nearest hundred and nearest)`

`text(thousand give the same answer.)`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 8, smc-3143-60-Rounding, smc-676-60-Rounding

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