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` |
|
|
|
|
Aussie Maths & Science Teachers: Save your time with SmarterEd
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` |
|
|
|
|
`1.3 xx 10^4`
`13\ 000` | `= 1.3 xx 10\ 000` |
`= 1.3 xx 10^4` |
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` |
|
|
|
|
`1.4 xx 10^10`
`1.4 xx 10^10`
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)` |
|
|
|
|
`text(90 million)`
`text(The extra ants in the 30 cm high anthill)`
`= 100\ 000\ 000-10\ 000\ 000`
`=90\ 000\ 000`
`=90\ text(million)`
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)` |
`1.0 xx 10^-10\ text(grams)`
`1.3 xx 10^-10 – 3 xx 10^-11`
`= 1.0 xx 10^-10\ text{(by calculator)}`
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` |
|
|
|
|
`2 xx 10^10`
`20\ text(billion)` | `= 20 xx 10^3 xx 10^6` |
`= 2 xx 10^10` |
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` |
|
|
|
|
`2.3 xx 10^(−3)\ text{mm}`
`0.0023 = 2.3 xx 10^(−3)\ text{mm}`