Year 8 Term 1 Flashcards
What is the number at the bottom of an indices?
The base number
What is the number at the top of an indices?
The index or Power
How to multiply indices with the same base?
You add the power.
How to divide indices with the same base?
You subtract the powers?
How to raise the power?
You multiply the power in the bracket to the one outside the bracket.
i.e. (a^b)^c=a^bc
What is z^1?
z
What is z^0?
1
What is z^-a?
1/z^a
What is z^1/y?
yth root of z
How to change the base of an index number?
Dividing each period’s value by the desired base period value, and then multiplying by its base scale
How to expand double brackets?
- Multiply the first number in each of the brackets
together. - Multiple the fist number of the first bracket and
the second number of the second bracket
together. - Multiple the second number of the first bracket
and the first number of the second bracket
together. - Multiply the seconds of the the fist and second
brackets together. - Simplify the equation.
How to expand triple brackets?
- Multiply the first number in each of the brackets
together. - Multiple the fist number of the first bracket and
the second number of the second bracket
together. - Multiple the second number of the first bracket
and the first number of the second bracket
together. - Multiply the seconds of the the fist and second
brackets together. - Simplify the equation.
- Multiply the product of that and the thirst bracket
the same way as the first time - Simplify the equation
How to factorise triple brackets?
Find the HCF of the numbers of the numbers in the bracket
How to factorise quadratics?
T=times
E= end
A= add for the
M=middle
How to do difference of two squares?
( a + b ) ( a − b ) = a 2 − b 2
(a+b)(a-b)=a^2-b^2
(a+b)(a−b)=a2−b2.
What is Pythagoras’s theorem?
The square on the hypotenuses is equal to the sum of the other two sides.
What is the formula for Pythagoras’s theorem?
a^2+b^s=c^2
c^2-a^2= b^2
c^2-b^2=a^2
How to do 3d Pythagoras?
- If the base of the prism has dimensions x and y, and
the diagonal along the base is represented by c,
then x² + y² = c². The longest diagonal in the solid, s,
is the hypotenuse of the triangle formed by the
sides c and the height of the solid, z. So we know
that, c² + z² = s². - You to the triangle on the base and then use that number as the base to find out the diagonal.
How to change a number in to standard form?
To convert a number into standard form, split the number into two parts - a number between 1 and 10 multiplied by a power of 10.
How to add fraction of the same denominator?
You add the numerators and keep the denominators the same.
How to add fraction of the different denominator?
-First you find a common denominator.
- Then you change the denominators to the the same
number
- What you did to the bottom of one fraction you do
the same to the top of the fraction.
-You add the numerators and keep the denominator
the same
How to subtract fractions
Step 1: Take the LCM of the denominator.
Step 2: Convert the denominators to the LCM Value
by multiplying the numerator and the
denominator by the same number.
Step 3: Once the denominator becomes equal,
subtract the numerator.
Step 4: Simplify the resulting fraction, if necessary.
