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A. Rational NumbersMath 9
Outcomes
N9.2
Demonstrate understanding of rational numbers including:
comparing and ordering
relating to other types of numbers
solving situational questions.
Big Ideas
Rational numbers are fractions! Most real life measurements use fractions/decimals!
Key Ideas
1. What is a Rational Number?
N9.2
Demonstrate understanding of rational numbers including:
comparing and ordering
relating to other types of numbers
solving situational questions.
1. What is a Rational Number?
When in decimal form how you can tell if a number is rational is if the decimal terminates or repeats.
Ex. 2.25 Terminates
Ex. 2.333333333333….. Or 4.6
When looking at a decimal if the decimal does not repeat or terminate then it is irrational.
Ex. 2.34567534789064567555346623453345433
Ex. 5.45456456745678456789
Example 1
Example 2
Example 3
Example 4
Practice
Ex. 3.1 (p.100)
#1-8,10,11,12 oie, 13, 14 oie, 16-18 oie, 21, 22, 23-24 oie
Or
#3-8,10,11,12 oie, 13, 14 oie, 16-18 oie, 21, 22, 23-25 oie, 26, 27
2. Adding Rational Numbers
N9.2
Demonstrate understanding of rational numbers including:
comparing and ordering
relating to other types of numbers
solving situational questions.
Remember that you only add the numerators and the denominators stay the same.
Example 1
To ADD decimals:
Line up the decimal points and add the columns from right to left.
Place a decimal point in the answer directly below the other decimal points.
Example 2
Example 3
Practice
Ex. 3.2 (p.111)
#1-15 oie, 17,18
Or
#3,4,7, 9-11 oie, 12-22
3. Subtracting Rational Numbers
N9.2
Demonstrate understanding of rational numbers including:
comparing and ordering
relating to other types of numbers
solving situational questions.
Remember just like adding rational numbers you need a common denominator and you only subtract the numerators and the denominators stay the same.
Example 1
To Subtract:
Line up the decimal points.
Subtract the columns from right to left, regrouping if necessary.
Place a decimal point in the answer directly below the other decimal points.
Example 2
Example 3
Practice
Ex. 3.3 (p.119)
#1-14 oie
Or
#4-17 oie
4. Multiplying Rational Numbers
N9.2
Demonstrate understanding of rational numbers including:
comparing and ordering
relating to other types of numbers
solving situational questions.
Example 1
Example 2
Example 3
Practice
Ex. 3.4 (p.127)
#1-14
Or
#5-18
5. Dividing Rational Numbers
N9.2
Demonstrate understanding of rational numbers including:
comparing and ordering
relating to other types of numbers
solving situational questions.
In order to divide rational numbers we have to take the reciprocal of the divisor then multiply instead of divide.
Example 1
To divide decimals we can use long division just like to we would if we had integers.
We just have to remember to put the decimal in the place of the dividend.
Example 2
Example 3
Practice
Ex. 3.5 (p.134)
#1-13, 17,18
Or
#6-21
6. Order of Operations with Rationals
N9.2
Demonstrate understanding of rational numbers including:
comparing and ordering
relating to other types of numbers
solving situational questions.
BEDMAS1. Brackets
2. Exponents
3. Division and multiplication (work left to right)
4. Adding and Subtracting (work left to right)
Example 1
Example 2
Example 3
Practice
Ex. 3.6 (p.140)
#1-17 oie
Or
#6-21 oie
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