MNU 3-03a 15-Jan-15Created by Mr. Lafferty Maths Dept. Revision Level E Add & Subtract Decimals Decimals Multiplying by 2 Simple

MNU 3-03a

11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.

Revision Level E Add & Subtract Decimals

DecimalsDecimalsw

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Multiplying by 2 Simple DecimalsDividing 2 Simple Decimals

Rounding to Any Number of Decimal PlacesRounding to Significant Figures

Profit and LossHire PurchaseSalaries & OvertimeForeign Exchange

MNU 3-03a


Starter QuestionsStarter Questionsw

ww

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Write down as many equations as you can

e.g. a + b = 11

MNU 3-03a

11 Apr 202311 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.ww

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1.1. Understand how to Understand how to round to 1 decimal round to 1 decimal place.place.

1. To revise Level E work.

DecimalsDecimalsRevision of Level E

2.2. Apply rules for multiplying Apply rules for multiplying and dividing by 10, 100 and dividing by 10, 100 and 1000.and 1000.


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DecimalsDecimalsRevision Level E

1. What does 6 stand for in 0.26 ? 6 hundredths

2. What number lies halfway between 0.1 and 0.02 ?0.06

3. Round to 1 decimal place 34.75 34.8

4. Calculate 4.76 x 100 476

5. Calculate 567.89 ÷ 1000

6. Shop A sell 20 CD’s for £16 and Shop B sells 40 CD’s for £31.60. Which shop is the cheapest.

0.56789

Shop A 80p

Shop B 79p

B is cheaper!

MNU 3-03a


Now try Exercise 1Ch13 (page 56)

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DecimalsDecimalsRevision Level EMNU 3-03a

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ww

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divide to give 3. Find the two numbers.

2. Two numbers subtract to give 5 and

multiply to 24. Find the two numbers.

3. Make your own question up.

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1.1. Remember to keep Remember to keep decimal point in line.decimal point in line.

1. We are learning to add and subtract decimal numbers.

DecimalsDecimals

2.2. Make use of trailing Make use of trailing 0’s 0’s when needed.when needed.

Addition & Subtraction


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DecimalsDecimalsAddition & Subtraction

Example : 3.2 + 0.487 + 5.73

3 200

0 487

5 7309 417

1 11

.

.

.

.

Keep point in line

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DecimalsDecimalsAddition & Subtraction

Example : 6.2 – 3.19 + 1.783

6 200

+1 783

7 9833 190

4 793

.

.

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.

Add first

Then subtract

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DecimalsDecimalsAddition & SubtractionMNU 3-03a

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1. (-5) - (-6) + 11

2. Calculate 15% of 60

3. What is the perimeter and area

of a square with length 4cm.

4. Find the value of x

3x - 9 = 27

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1. We are learning to do simple decimal multiplication.

1. Apply rules to do simple multiplication.

DecimalsDecimalsSimple Multiplication

2. Show clear working.


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Example 1 : 0.6 x 0.4 6 x 4 = 24

2 digits after decimal place

0. 24

Example 2 : 0.09 x 0.3 9 x 3 = 27


0. 027

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Example 3 : 0.071 x 0.5 71 x 5 = 355


0. 0355

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DecimalsDecimalsSimple MultiplicationMNU 3-03a

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12. How many degrees in an

8

1. Simplfy the ratio 57 : 19

of a circle

3. I got $250 for £100. How much would I

get for £1.

4. Put in order, smallest first.

0.05, 0.21, 0.01, 0.026

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1. We are learning to divide simple decimal numbers.

1. Understand simple rule for dividing decimals.

DecimalsDecimals

2. Apply them to simple calculations.

Division of a Decimal


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DecimalsDecimals

Example 1 : 3.5 ÷ 0.7 35 ÷ 7 = 5

Example 2 : 0.8 ÷ 0.2 8 ÷ 2 = 4

Do not attempt to divide by a decimal, multiply the divisor so it is a whole number first.

x 10

x 10

Division of a DecimalMNU 3-03a


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DecimalsDecimals

Example 3 : 0.036 ÷ 0.043.6 ÷ 4 = 0.9

Example 4 : 24 ÷ 300024 ÷ 3÷1000 = 0.008

Do not attempt to divide by a decimal, multiply the divisor so it is a whole number first.

x 100

Division of a DecimalMNU 3-03a



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DecimalsDecimalsDivision of a DecimalMNU 3-03a

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ww

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60

Write down as many questions as you can

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1. We are learning to round to any number of decimal places.

1. Use previous knowledge to help round to any number of decimal places.

DecimalsDecimalsRounding to Any Number of Decimal Places


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When rounding to :

1 decimal place look at 2nd decimal figure

e.g. 2.46

e.g. 6.456

e.g. 3.7846

e.g. 13.1146

2 decimal place look at 3rd decimal figure3 decimal place look at 4th decimal figure4 decimal place look at 5th decimal figure

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Example : The number 4.2615937

Rounded to 1 decimal place, the number is

4.3

4.26

4.262

4.2616

Rounded to 2 decimal place, the number isRounded to 3 decimal place, the number isRounded to 4 decimal place, the number is

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DecimalsDecimalsRounding to Any Number of Decimal PlacesMNU 3-03a

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Starter Starter QuestionsQuestions

24 ( 2 3)h h h

Q1. Round the following to 2 decimals places.

(a) 3.5647 (b) 4.55732 (c) 3.98111

Q2. Write in standard form.

(a) 12300 (b) 0.0034 (c) 0.0005

Q3. Expand out

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Learning IntentionLearning Intention Success CriteriaSuccess Criteria

1.1. Understand what the Understand what the term significant figure term significant figure means.means.

1. We are learning about the term significant figure.

2.2. Apply knowledge to Apply knowledge to problems.problems.

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Significant NumbersSignificant Numbers


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In mathematics a figure or digit is significant if it gives an idea of both:

(i) Quantity(ii) Accuracy

IMPORTANT : If zero’s are employed just to position the decimal pointthen they are considered NOT significant.

e.g. Has 3 significant figures.

Has 3 significant figures.

Has 3 significant figures.

506 cm

50.6 cm

0.506 cm

0.00506 cm Has 3 significant figures.

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IMPORTANT : When dealing with WHOLE NUMBERS you needMore information before you can tell if trailing zero’s are significant.

Question ? How many significant figures is this number to.

360

If I said there are 360 deg. in a circle. How many significant figures.3

YOU NEED TO KNOW THE CONTEXT OF THE QUESTION WHENDEALING WITH WHOLE NUMBERS WITH TRAILING ZEROS.

If I said 359 to the nearest ten is 360. How many significant figures.2

Is it 2 or 3 !!!

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Significant FiguresSignificant FiguresDecimals0.001090

Whole Numbers03060

To the left ofThe number

Middle of the number

To the right ofthe number

Not Significant

Always Significant

Always Significant

To the left ofThe number

Middle of the number

? Depends More Info.

Not SignificantAlways SignificantRead Question

WORK OUT WHAT THE ZERO MEANS

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Now try Ex 8Ch13 (page 65)

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Significant NumbersSignificant NumbersMNU 3-03a

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Q1. 0.5 + 5 x 8

Q3. Find g when 7 - g 32

Q2. Multiply out the brackets

(a) 2 - 6(x - 3) (b) (x - 4)( 3x + 5)

2 2

I f a 7, b 6, c 3

Find

ac

b

Q4.

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1.1. Understand the terms Understand the terms PROFIT and LOSS.PROFIT and LOSS.

1. We are learning theterms profit and loss.

2.2. Apply knowledge to Apply knowledge to calculations. In context.calculations. In context.

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Profit and LossProfit and Loss

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Profit : When you sell something for MORE than you bought it.

Loss : When you sell something for LESS than you bought it.

PROFIT = Selling Price – Buying Price

LOSS = Buying Price – Selling Price

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Example 2Example 2

I bought a bunch of flowers for £5.50 and tried to I bought a bunch of flowers for £5.50 and tried to sell them for a profit. But I found it difficult to sell sell them for a profit. But I found it difficult to sell them. I sold them for £4.00 before they went off. them. I sold them for £4.00 before they went off.

Example 1Example 1If I buy a Playstation for £100 and sell it for £120. If I buy a Playstation for £100 and sell it for £120.

£120-£100 = £120-£100 = £20£20

I have made a I have made a PROFITPROFIT of of

I made a I made a LOSSLOSS of of £5.50 - £4.00 = £1.50£5.50 - £4.00 = £1.50

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Q1 – Q3

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1.1. To know the meaning of To know the meaning of the term HIRE PURCHASE.the term HIRE PURCHASE.

1. We are learning thethe meaning of the term Hire Purchase.

2.2. Apply the process of Apply the process of working out the Hire working out the Hire Purchase for everyday Purchase for everyday products.products.

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Hire PurchaseHire Purchase

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Q1. Expand out 2j (k – 5g + 4jk)

Q3.Find m when 55 = 13 - 14m

Q2. Find all the missing angles

2

I f a 9, b 7, c 4

Find

ab

c

Q4.

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25o

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Hire PurchaseHire Purchase

Hire Purchase : When you pay for goods byputting down a deposit and then paying the rest up in small fixed payments over a period of time.

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Normally you pay more for the goods using this method.

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Buying ProductsBuying Products

Hoover Cash Price £365.50 Hoover Cash Price £365.50 or or

by H.P. £75 deposit + 12 Payment £28.80by H.P. £75 deposit + 12 Payment £28.80

£75 + 12 x £28.80 = £75 + 12 x £28.80 = £420.60£420.60

Total H.P. price = Total H.P. price =

Hire PurchaseHire Purchasew

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Difference in price = £420.60 - £365.50 = £55.10 £420.60 - £365.50 = £55.10

How much more do you pay by using Hire Purchase



Q4 – Q7

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Hire PurchaseHire PurchaseMNU 3-03a

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Q1. Expand out 2a (a – c + 4ab)

Q3. Find g when 7 - 8g 95

Q2. Find the missing angle

2

I f a 9, b 7, c 4

Find

ab

c

Q4.

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22o

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1.1. To know the meaning of To know the meaning of the terms Salary and the terms Salary and Overtime.Overtime.

1. We are learning to calculate Salaries and Overtime.

2.2. Apply knowledge to Apply knowledge to calculations. In context.calculations. In context.

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Salaries & OvertimeSalaries & Overtime

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Salary : How much a person is paid to do a job.Can be measured weekly, monthly orannually.

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Overtime : Extra work outside normal work time.Usually at night or weekends.

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£1725.20 x 12 = £20 £1725.20 x 12 = £20 702.40702.40

Annual Salary is = Annual Salary is =

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Mick the mechanic gets paid £1725.20 a month.How much is his annual salary.


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£19 003.40 £19 003.40 ÷÷ 52 = £365.45 52 = £365.45Weekly Salary is = Weekly Salary is =

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Claire the clerkess gets an annual salary of £19 003.40.How much is her weekly wage.


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4 x £12.90 x 1.5 = £77.404 x £12.90 x 1.5 = £77.404 hours Overtime is = 4 hours Overtime is =

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Percy works for £12.90 per hour. His overtime rate is“time & a half”. What does he get paid for 4 hours overtime.




Q8 – Q14

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Level F


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Q1. Expand out 2a (a – c + 4ab)

Q3. Find y1

y =100 5

Q2. Find two missing angles

Q4. The answer is 45. What is the queston.

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32o

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1.1. Understand the term Understand the term exchange rate and be apply exchange rate and be apply it to convert £’s to another it to convert £’s to another currency.currency.

1. We are learning to convert £’s to another currency and vice versa.

2.2. Be able to convert back to Be able to convert back to £’s.£’s.

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Foreign ExchangeForeign Exchange

3. 3. Show clear working.Show clear working.

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The currency in most of Europe is the euro €

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Converting £’s to Euros € simply multiply


The exchange rate is approximately

£ 1 1.54 €

(a) To change £80 to euros 80 x 1.54 =123.20 €

Think going on holiday !

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Coming back from holiday we want to do the oppositei.e. euros to £’s

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Converting Euros €’s to £’s simply divide


The exchange rate is approximately

£ 1 1.54 €

To change 616 € to £’s 616 ÷ 1.54 =£400

Think back from holiday !



Q15 – Q20

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Foreign ExchangeForeign ExchangeMNU 3-03a

Documents

MNU 3-03a 15-Jan-15Created by Mr. Lafferty Maths Dept. Revision Level E Add & Subtract Decimals Decimals Multiplying by 2 Simple