b121 chapter 5 working with numbers. number representation thousandhundredstensunits 25632563...
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B121
Chapter 5
Working with Numbers
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Number representationThousand Hundreds Tens Units
2563 2 5 6 3
Natural numbers: 1,2,3,4,5………Integers: Natural numbers are examples of integers or whole numbers: 0,1,2,3……Negative numbers: these are numbers with a value of less than zero: -1, -2, -3, -4
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Working with numbers
Getting the order rightOrder of operation: BIDMASB : Brackets I : Indices (powers and roots) D: Division M: Multiplication A : Addition S : Subtraction
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Using BIDMAS rule
a) 8 – 2 + 5 – 1
b) 5 + 12 ÷ 4
c) 4 x 5²
d) (5 – 3) x 4
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Terms for calculation
SUM : the sum of two numbers is the result of adding them together.
Difference : subtracting one from the other.
Product : Multiplying two numbers.
Quotient : Dividing one by the other
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Rounding Numbers
To round a numberLook at the digit immediately after where you want to round.
Round up if this digit is 5 or more, and down otherwise.
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a) 0.0582 to three decimal places.
b) 7.05683 to one decimal places.
c) 2.3971 to two places.
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Negative Numbers
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Adding and subtracting negative numbers
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Adding and subtracting negative numbers
Adding a Negative number is same as subtracting the corresponding positive number.
Subtracting a Negative number is same as adding the corresponding positive number.
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Multiplying and Dividing Negative number
When Two numbers are multiplied or divided:
if the signs are different, then the answer is Negative.
If the signs are same, then the answer is positive.
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Fraction
• A fraction is a number that describes the relationship between part of something and the whole.
• For ex. The disc is divided into 8 equal parts of which 5 are shaded. To express
this we write ⅝.
Top number is called numerator.
Bottom number is called denominator
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Equivalent FractionsEach fraction can be written in many different, but equivalent forms.
To find equivalent fraction Multiply or Divide the
numerator and denominator by the same non-zero number.
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Unit1: Starting Point
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Unit1: Starting Point
Mathematical terms:
Sum : Adding numbers together
Difference: subtracting between two numbers
Product: is the result of multiplying them
Quotient: is the result of dividing numbers
a) Two numbers with sum 8 and product 15=?
b) Two numbers with difference 4 and quotient 2?
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Unit1: Starting Point
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Unit1: Starting Point2.4 Rounding numbers:
Decimal places:
When you make a measurement, it is sometimes helpful to round your answer.
Decimal places: are the positions of the digits to the right of the decimal point. 0.0582
- Round 0.0582 to three decimal places
The answer is = 0.058- Round 2.3971 to two decimal places
The answer is = 2.40- Round 0.00547 to three decimal places ??- Round 7.98 to one decimal place ??
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Unit1: Starting Point
2.4 Rounding numbers:
Significant figures: Another way where a number should be rounded is looking at its significant number.
- Round 36.9572 to four significant figure:
36.96- Round 0.0198 to two significant figure:
0.020 - Round 23650 to two significant figure:
??
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3. Negative numbers and fractions:
3.1 Negative numbers- Figure 10 at page 28 shows part of the number line,
with the positions of the integers marked. For example:
-2 + 5 = 3
-1- 4 = -5
-6 + 2 = - 4
2 – 7 = ?
5 – 7 – 2 = ?
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3. Negative numbers and fractions:
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3. Negative numbers and fractions:
3.2 Fractions:
Fractions are important in mathematics.
A fraction is a number that describes the relationship between part of something and the whole.
The top number is called numerator
The bottom number is called denominator
Fraction can be converted into decimal
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3. Negative numbers and fractions:
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3. Negative numbers and fractions:
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