Week 1 - Basic Numeracy & Basic Algebra

Subtracting a negative number is equivalent to adding a positive number

• 2-(-5)=2+5=7

The result of multiplying/dividing two numbers of the same sign is always positive.

• (-10)/(-2)=5
• 2*3=6
• (-4)*(-4)=8
• -4/-2=2

The result of multiplying/dividing two numbers of the opposing signs is always negative.

• 2*(-3)=-6
• (-2)*4=-8
• 4/(-2)=-2

First = Brackets
Second = Indices
Third = Division
Third = Multiplication
Fourth = Addition
Fourth = Subtraction

Fraction = Numerator / Denominator = p/q

Equivalent Fractions can be expressed in a different form, but always have the same value.

Multiplying or dividing both the numerator and denominator by the same number produces an equivalent fraction.

• 1/2 = 2/4 = 4/8 = 8/16
• 1/2 = 1*2/2*2 = 2/4

1. Rewrite each fraction so they have the same denominator.
2. Calculate the sum/difference of the numerators
3. Simplify

1. 3/10 + 1/4 = 6/20 + 5/20
2. 5/20 + 5/20 = 11/20
3. 3/10 + 1/4 = 11/20

1. Numerator of the result -> Multiply the numerators Denominator of the result -> Multiply the denominators
2. Simplify

• 3/10 * 5/8 = (3*5)/(10*8) = 15/80

1. Multiply the first fraction by the reciprocal of the second fraction (invert the fraction)
2. Simplify

• 3/10 / 5/8 = 3/10 * 8/5 = 24/50 = 12/25

This is when there is no factors other than 1 common to both the numerator and denominator

• 24/32 = 12/18 = 4/6 = 2/3

• Term = A Term is either a dingle number or variable or the product of several numbers and/or variables _e.g. 2 , 3y , 4yz² _
• Constant = A Term without a symbol

• Multiply the numbers and multiply the variables

• 2(-3b) = -6b
• (4xy)(-2xy) = -8x²y²

Put Notes Here

• Lecture Recording - Part 1
• Lecture Recording - Part 2

[[Week 2 - Everyday Maths]]