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A prime number can be defined as:
"A natural number which has only 2 factors - itself and 1".
23 has only 2 factors:
There are no other natural numbers which are factors.
If it had 3 or more factors it would be composite.
1 is the only number which has 1 factor - it is neither prime nor composite.
The nearest 'tenth' means the same as to one decimal place.
To decide whether to round up to the next tenth or down to the same tenth, look at the digit in the second decimal place (hundredths).
If it is
If it is
The
Note that the thousands place is not considered at all.
Find the total volume first:
Convert to litres immediately (
The ratio:
This means that
The volume of juice is therefore:
When you write a fraction you are showing :
In order to do this the units have to be the same, so you can write
The fraction is :
Note:
the units are the same, so they will cancel.
The fraction does not have a unit, it merely indicates how the two quantities compare with each other.
'fraction' generally refers to a common fraction.
fractions should be given in the simplest form, Divide the numerator and denominator by the highest common factor
The answer is
We use BODMAS to help solve this. There are no Brackets and no Orders, so we go straight to Division and then Multiplication, before going on to Addition and then Subtraction. The direction is left to right.
There are no Brackets and nor Orders, so we go directly to Division.
There is one Division:
Hence:
Next comes Multiplication:
Hence:
Next comes Addition:
Last is Subtraction:
Bill has to run
First we calculate the distance Bill has run on each day of the week from Monday to Thursday. We do that by converting the mixed fractions into improper fractions (by multiplying the whole number by the denominator and adding the product to the numerator) and multiplying them by
Monday:
Number of laps:
Distance:
Tuesday:
Number of laps:
Distance:
Wednesday:
Number of laps:
Distance:
Thursday:
Number of laps:
Distance:
Now we add the four distances to determine the total distance run by Bill in four days.
The total distance is
Bill wants to run a total of
Since
Bill has to run
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