2. Fractions and Decimals 30, Money and Financial Mathematics 13 50% = 50 100 50 100 50 ÷ ÷ = 1 2 = 50%

3. Fractions and Decimals 30, Money and Financial Mathematics 13 50% of $49.95 Round up to $50 50% of $50 = $25 We added on 5c when we rounded to $50, so we have half of 5c too much. So 50% of $49.95 = $24.97 which will round to $25.

4. Fractions and Decimals 30, Money and Financial Mathematics 13 25% = 25 100 25 100 25 ÷ ÷ = 1 4 = 25%

5. Fractions and Decimals 30, Money and Financial Mathematics 13 25% of $89.98 Round up to $90 25% of $90 = $22.50 We added on 1c when we rounded to $90, so we have a quarter of 1c too much. So 25% of $89.99 = $22.49 which will round to $25.

6. Fractions and Decimals 30, Money and Financial Mathematics 13 70% = 70 100 70 100 10 ÷ ÷ = 7 = 70%

7. Fractions and Decimals 30, Money and Financial Mathematics 13 70% of $49.95 Round up to $50 70% of $50 = 10% of 50 = $5 7 x $5 = $35 discount $50 - $35 = $15 30% of $49.95 Round up to $50 30% of $50 = 10% of 50 = $5 3 x $5 = $15 discounted price

8. Fractions and Decimals 30, Money and Financial Mathematics 13 1.Look through a brochure or find a website that advertises percentage discounts. 2.Find an item that has the full price. 3.Calculate the discount amount. 4.Calculate the discounted price. 5.If the item also has the discounted price advertised, check your discounted price against it. Reflection: How can we calculate percentage discounts? Investigation: Problem Solving Kelly saw an item she wanted to buy in 2 shops. One shop offered the item for $19.99. The other shop offered the item for sale at $29.99 but had a 50% of the marked price sale. Which shop will Kelly pay less for the item? Problem Solving Jennifer gets 10% discount on her bill if she pays before 21 June. Her bill is $140. How much will Jennifer pay if she pays before 21 June? Problem Solving Which results in the lower price: 25% discount on $28 or 10% discount on $25? Problem Solving What is $5 as a percentage of $20? Problem Solving Sandra bought a bike on sale for 25% off the original price. The original price was $160. How much did Sandra pay for the bike? Problem Solving The marked price on an item is $85 but Nelly got 25% discount. How much did Nelly pay? Problem Solving Joanne has $32 to buy an item. The item is on sale for 10% off the original price. What is the highest that the original price could have been so that Joanne could buy the item?

9. Fractions and Decimals 30, Money and Financial Mathematics 13

10. Fractions and Decimals 30, Money and Financial Mathematics 13 1.Select cards to make a money amount, for example, $56 or $56.25. 2.Calculate the discounted amount and the discounted price if you receive discounts of 50%, 25%, 10% and multiples of 10%. Reflection: How can we calculate percentage discounts? Investigation:

11. Fractions and Decimals 30, Money and Financial Mathematics 13 Investigation: 1.Enter a money amount into a calculator. 2.Calculate the discounted amount and the discounted price if you receive discounts of 50%, 25%, 10% and multiples of 10%. 3.Check the calculator’s results. Reflection: How can we calculate percentage discounts?