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Number, NAP-J4-NC02

The diameter of the earth is approximately 13 000 kilometres.

Which of these shows 13 000 in scientific notation?

`1.3 xx 10^3` `1.3 xx 10^4` `1.3 xx 10^5` `1.3 xx 10^6`
 
 
 
 
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`1.3 xx 10^4`

Show Worked Solution
`13\ 000` `= 1.3 xx 10\ 000`
  `= 1.3 xx 10^4`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 8, smc-3173-50-Scientific notation, smc-890-50-Scientific notation

Number, NAP-D4-NC26

The age of the Universe is estimated to be  14 000 000 000  years old.

This number can also be written as

`1.4 xx 10^9` `1.4 xx 10^10` `14 xx 10^10` `14 xx 10^11`
 
 
 
 
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`1.4 xx 10^10`

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`1.4 xx 10^10`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 9, smc-3173-50-Scientific notation, smc-890-50-Scientific notation

Number, NAP-C4-NC26

An insect expert estimates that an anthill 30 cm high contains `10^8` ants.

He also estimates that a 25 cm high anthill contains `10^7` ants.

If his estimations are correct, how many more ants live in the 30 cm high anthill than the 25 cm high one?

`text(9 million)` `text(10 million)` `text(90 million)` `text(100 million)`
 
 
 
 
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`text(90 million)`

Show Worked Solution

`text(The extra ants in the 30 cm high anthill)`

`= 100\ 000\ 000-10\ 000\ 000`

`=90\ 000\ 000`

`=90\ text(million)`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations, Multi-Step Problems, Multi-Step Problems Tagged With: Band 9, smc-3173-50-Scientific notation, smc-890-50-Scientific notation

Number, NAP-F4-CA26

A red blood cell and a white blood cell have a combined total mass of `1.3 xx 10^-10` grams.

If the red blood cell has a mass of `3 xx 10^-11` grams, what is the mass of the white blood cell?

 
`1 xx 10^-10\ text(grams)`
 
`1 xx 10^-11\ text(grams)`
 
`1.7 xx 10^-10\ text(grams)`
 
`1.7 xx 10^-11\ text(grams)`
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`1.0 xx 10^-10\ text(grams)`

Show Worked Solution

`1.3 xx 10^-10 – 3 xx 10^-11`

`= 1.0 xx 10^-10\ text{(by calculator)}`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 10, smc-3173-50-Scientific notation, smc-3173-75-Calculator skills, smc-890-50-Scientific notation, smc-890-75-Calculator skills

Number, NAP-H4-CA08

One billion is one thousand million.

Which of the following is 20 billion?

`2 xx 10^13` `2 xx 10^10` `2 xx 10^7` `2 xx 10^4`
 
 
 
 
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`2 xx 10^10`

Show Worked Solution
`20\ text(billion)` `= 20 xx 10^3 xx 10^6`
  `= 2 xx 10^10`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 7, smc-3173-50-Scientific notation, smc-890-50-Scientific notation

Number, NAP-I4-NC11

The diameter of a pinhead is 0.0023 mm.

Which shows this measurement written in scientific notation?

`2.3 xx 10^(−3)` `2.3 xx 10^(−2)` `2.3 xx 10^2` `2.3 xx 10^3`
 
 
 
 
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`2.3 xx 10^(−3)\ text{mm}`

Show Worked Solution

`0.0023 = 2.3 xx 10^(−3)\ text{mm}`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 8, smc-3173-50-Scientific notation, smc-890-50-Scientific notation

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