Www.mathsrevision.com Created by Mr. Lafferty @ Scientific Notation Using the calculator and...

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Created by Mr. Lafferty Created by Mr. Lafferty @[email protected]

Scientific Scientific NotationNotation

ww

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Calculator

Wednesday, April 19, 2023Wednesday, April 19, 2023 11

Using the calculator for fractions

Simplifying Ratios

Ratio & Proportional Division

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Starter QuestionsStarter Questionsw

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S3.3

1. Write in scientifi c notation

(a) 2300 (b) 0.00534 (c) 569200 (d) 0.05060

2. True or f alse

5 5 1

6 12 2

3. Find the length of x

10cm

8cm

x cm

Calculator


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1.1. To be able to use the To be able to use the calculator to calculate calculator to calculate values using scientific values using scientific notation.notation.

1. To show how to do calculation using scientific notation on the calculator.

Scientific Notation

S3.3 Calculator


Using the calculator

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S3.3

We can use scientific notation on the calculator.Depending on your calculator you will use one of thefollowing buttons.

xy 10x EXP EE(you may have to use the shift button)

Enter the 5.4x103 into your calculatorCalculator Keys

5 4 xy0 3

Wednesday, April 19, 2023Wednesday, April 19, 2023 Created by Mr. Lafferty Created by Mr. Lafferty @[email protected] 44


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S3.3

xy 10x EXP EE(you may have to use the shift button)

Example: 6.25x10-7

Calculator Keys

6 2 xy0 -


Example: 8.31x1011

Calculator Keys

75

8 3 xy0 1 11

Not the subtraction

button


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S3.3

Calculate: 4 x 106 ÷ 8 x 106

It is good practice to put each value in brackets


4 xy0 6

(

(

xy0

)

68 )

exe

Wednesday, April 19, 2023Wednesday, April 19, 2023 Created by Mr. Lafferty Created by Mr. Lafferty @[email protected]

Now try Ex 7.1 and Ex 7.2

Ch 1 (page 10)

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77


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S3.3

3 -4

1. Write in scientifi c notation

(a) 4.5 x 2.3x10 (b) 0.053 x 3.4x10

2. True or f alse

5 5 1

6 3 3

3. Find the length of y

y cm

5cm

12 cm

Calculator


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1.1. To be able to use the To be able to use the calculator to calculate calculator to calculate fractions.fractions.

1. To show how to do calculation using fractions on the calculator.

S3.3 Fractions




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1010


Reminder on fractions

A fraction has a numerator and denominator

The value of a fraction can be calculated bydividing the numerator by the denominator

A proper fraction has a value of less than 1

An improper fraction is of the form bab

a

A mixed number contains whole number and fractions

75.000.34

4

3


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1111


We can use the calculator when working with fractions

The fraction button is :

cba

Example 1: Express as a decimal 4

3

3 4cba 0.75

Fractions


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1212


Example 2: Express as a decimal 10

5

5 10cba 0.51┌2 c

ba

Example 3: Express as a mixed number 4

7

7 4cba 1┌3 ┌4

Fractions


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1313


Example 4: Express as a improper fraction3

24

4 2cba 14┌3c

ba3 2ndcba

Example 5: Add3

2

5

34

4 3cba

5┌4┌ 15

cba5c

ba 2 3 =

Fractions


Now try Ex 8.1 and Ex 8.2

Ch 1 (page 13)

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Using the calculatorFractions

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(a) 123 (b) 202 (c) 0.09

1. Explain why x=4 when 3x + 5 = 17

2. True or f alse 20% of 220 = 44

3. How many signifi cant numbers

4. Car depreciates by 20% in its

fi rst year. I f it was bought new

f or £ 10 000. How much is it worth now.


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1.1. Understand the term ratio. Understand the term ratio. ..

1. To understand what a ratio is and explain how we can sometimes simplify them.

RatiosRatios

2.2. Calculate and simplify Calculate and simplify basic ratios.basic ratios.

What is a ratio ?


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RatiosRatios

Ratios can be used to compare different quantitiesRatios can be used to compare different quantities

What is a ratio ?

Example : There are 2 triangles and 3 rectangles.

The ratio of triangles to rectangles is said to be 2 : 3

Note: The ratio of rectangles to triangles is said to be 3 : 2


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RatiosRatios

Simplifying a ratio is like simplifying fractionsSimplifying a ratio is like simplifying fractions

Simplifying a ratio ?

Fraction :÷2

÷2

6 6 3= =

8 8 4

Ratio : ÷2 ÷26 : 8 = 6 : 8 = 3 : 4


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RatiosRatios

Sometimes we need to multiply to simplifySometimes we need to multiply to simplify


Ratio :1 : 5 =

31

×3 : 5×3 = 3

1 : 15


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RatiosRatios

When working with ratios, When working with ratios, the two units the two units MUSTMUST be the same be the same


Ratio :1 hour : 40 minutes

4

= 15 minutes : 40 minutes

= 3 minutes : 8 minutes


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RatiosRatios

By first multiplying by ten to get rid of the decimalssimplifying the following ratios:



(a) 2.2 : 3.3 22 : 33 2 : 3

(b) 1.6 : 9.6 16 : 96 1 : 6

(c) 0.5 : 100 5 : 1000 1 : 200

(d) 8.5 : 9.5 85 : 95 17 : 19

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RatiosRatios

By eliminating the fractions simplify the ratios.



2 : 3

Multiply each side by 35 5 : 21

Multiply each side by 4

8 : 21

4

31:

3

2)(

5

3:7

1)(

4

3:2

1)(

c

b

a

Multiply each side by 12

Now try Ex 9.1Ch1 (page 16)

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RatiosRatiosSimplifying Ratios


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5 1 322 4 4

2. Calculate the area of the shape.

4. True or f alse

(a) 0.853 (b) 0.356 (c) 1.995

1. 6x + 5 = 59

3. Round to 2 decimal places.

9

8


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1. Explain how to work out Ratio & Proportional division by using shares.

1. Work out the number of shares for a ratio.

RatiosRatiosRatio & Proportional Division

2. Solve problems using shares.

3. Show appropriate working.


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RatiosRatios

Example : Bill and Ben share a raffle win of £400 in the ratio 3:5. How much does each get ?


Step 1 : Since the ratio is 3:5, there are :

3+5 = 8 shares

Step 2 : Each share is worth : 50

8 400

Step 3 : Bill gets 3 x 50 = £150

Ben gets 5 x 50 = £250Check !150 + 250 = 400


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RatiosRatios

Example : Ryan and Ross share 24 cakes in the ratio3:1. How many cakes does each get ?


Step 1 : Since the ratio is 3:1, there are :

3+1 = 4 shares

Step 2 : Each share is worth : 6

4 24

Step 3 : Ryan gets 3 x 6 = 18

Ross gets 1 x 6 = 6Check !18 + 6

= 24Wednesday, April 19, 2023Wednesday, April 19, 2023 Created by Mr. Lafferty Created by Mr. Lafferty

@[email protected]

Now try Ex 9.2Ch1 (page 16)

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RatiosRatiosRatio & Proportional Division


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