Scientific Notation Using the calculator and Scientific Notation Calculator 1 Using the calculator...
-
Upload
theodora-day -
Category
Documents
-
view
234 -
download
0
Transcript of Scientific Notation Using the calculator and Scientific Notation Calculator 1 Using the calculator...
Scientific Scientific NotationNotation
Using the calculator and Scientific Notation
Calculator
11
Using the calculator for fractions
Simplifying Ratios
Ratio & Proportional Division
Starter QuestionsStarter Questions
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
22
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
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 NotationCalculator
33
Using the calculator
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
Created by Mr. Lafferty Created by Mr. Lafferty @[email protected] 44
Using the calculator
xy 10x EXP EE(you may have to use the shift button)
Example: 6.25x10-7
Calculator Keys
6 2 xy0 -
55
Example: 8.31x1011
Calculator Keys
75
8 3 xy0 1 11
Not the subtraction button
Using the calculator
Calculate: 4 x 106 ÷ 8 x 106
It is good practice to put each value in brackets
66
4 xy0 6
(
(
xy0
)
68 )
exe
Starter QuestionsStarter Questions
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
77
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
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.
Fractions
88
Using the calculator
99
Using the calculator
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
1010
Using the calculator
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
1111
Using the calculator
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
1212
Using the calculator
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
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
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 ?
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
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
RatiosRatios
Sometimes we need to multiply to simplifySometimes we need to multiply to simplify
Simplifying a ratio ?
Ratio :1 : 5 =
31
×3 : 5×3 = 3
1 : 15
RatiosRatios
When working with ratios, When working with ratios, the two units the two units MUSTMUST be the same be the same
Simplifying a ratio ?
Ratio :1 hour : 40 minutes
4
= 15 minutes : 40 minutes
= 3 minutes : 8 minutes
RatiosRatios
By first multiplying by ten to get rid of the decimalssimplifying the following ratios:
Simplifying a ratio ?
(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
RatiosRatios
By eliminating the fractions simplify the ratios.
Simplifying a ratio ?
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
Starter QuestionsStarter Questions
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
Learning IntentionLearning Intention Success CriteriaSuccess Criteria
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.
RatiosRatios
Example : Bill and Ben share a raffle win of £400 in the ratio 3:5. How much does each get ?
Ratio & Proportional Division
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