In this activity, you will be asked to solve a range of questions using your knowledge of fractions, decimals and percentages.
Here are some examples that will help you with the activity.
Example 1:
Write the decimal number 0.456 in expanded form
Answer 1:
Expanded form means to partition a number to see the place value of each digit clearly.
Because we are using a decimal number, we will write its expanded form using fractions.
0.456 = 4/10 + 5/100 + 6/1000
Example 2:
Francesca has completed 140 questions out of 200 in a huge quiz!
What is this as a decimal number?
Answer 2:
Step 1:
Convert the numbers to a fraction: 140/200
Step 2:
Next, to convert a fraction into a decimal number, you need to divide the numerator by the denominator.
It's easiest to use a calculator or you can use the written method of long division.
140 ÷ 200 = 0.7
Francesca has completed 0.7 of her quiz.
Example 3:
Wayne has £85 from his savings.
He spends 1/5 buying a present for his Dad.
He then spends 30% on a football ticket.
How much money does he have left?
Answer 3:
Step 1: Find 1/5 of £85
85 ÷ 5 = £17
Wayne has spent £17 on a present for his Dad.
Step 2: Find 30% of £85
First find 10%
£85 ÷ 10 =£8.5
10% = £8.50
30% = £8.50 x 3
= £25.50
Step 3: Add both amounts together
£25.50 + £17 = £42.50
Step 4: Subtract the total spent from the original amount
£85 - £42.50 = £42.50
Wayne has £42.50 left.