Sure, let's tackle each of these questions step by step.
### 2. Write the following fractions as decimals.
a) [tex]\(\frac{1}{4}\)[/tex]
To convert [tex]\(\frac{1}{4}\)[/tex] to a decimal, we divide 1 by 4, which gives us:
[tex]\[ \frac{1}{4} = 0.25 \][/tex]
b) [tex]\(\frac{3}{10}\)[/tex]
To convert [tex]\(\frac{3}{10}\)[/tex] to a decimal, we divide 3 by 10, which gives us:
[tex]\[ \frac{3}{10} = 0.3 \][/tex]
c) [tex]\(\frac{2}{5}\)[/tex]
To convert [tex]\(\frac{2}{5}\)[/tex] to a decimal, we divide 2 by 5, which gives us:
[tex]\[ \frac{2}{5} = 0.4 \][/tex]
d) [tex]\(\frac{1}{25}\)[/tex]
To convert [tex]\(\frac{1}{25}\)[/tex] to a decimal, we divide 1 by 25, which gives us:
[tex]\[ \frac{1}{25} = 0.04 \][/tex]
### 3. Elizabeth's Fundraising for Charity
Elizabeth is trying to raise £3000.
a) A local business gives her £1600, and she raises £800 from an auction. How much more does she need to raise to reach her target?
First, let's calculate the total amount she has raised so far:
[tex]\[ 1600 + 800 = 2400 \][/tex]
Now, we need to find out how much more she needs to reach her target of £3000:
[tex]\[ 3000 - 2400 = 600 \][/tex]
So, Elizabeth needs to raise another £600 to reach her target.
b) A mystery donor gives her another £850. By how much is she over her target?
First, let's calculate the total amount she has raised after the mystery donor's contribution:
[tex]\[ 2400 + 850 = 3250 \][/tex]
Now, we find out by how much this exceeds her target of £3000:
[tex]\[ 3250 - 3000 = 250 \][/tex]
So, Elizabeth is £250 over her target.
In summary:
2. The decimal equivalents are:
a) 0.25
b) 0.3
c) 0.4
d) 0.04
3. Elizabeth's fundraising:
a) She needs to raise another £600.
b) She is £250 over her target after the mystery donor's contribution.
