🏹 • Module 2 : Powers, Operations, and Data Flashcards
Master key concepts in powers, indices, operations, and data representation.
What is 3²?
3² = 3 x 3 =9
What are the first five square numbers?
1, 4, 9, 16, 25
What is 4³?
4³ = 4 x 4 x 4=64
What is the product rule for indices?
aᵐ x aⁿ = aᵐ+ⁿ
Example : 2³ x 2² = 2³⁺²= 2⁵ = 32
What is the reciprocal of 2³?
The reciprocal is 2⁻³ = 1/2³ = 1/8
What is BODMAS?
The order of operations :
Brackets
Order (powers and roots)
Division
Multiplication
Addition
Subtraction
Round 47 to the nearest 10…
50
Round 3.146 to 2 dp…
3.15
Dp : decimal places.
Expand 3(𝑥+4)
3𝑥+12
(Multiply 3x𝑥, then 3x4)
Simplify 2(𝑥+5) + 3(𝑥-2).
2𝑥+10+3𝑥-6
= 5𝑥+4
Factorize 6𝑥+9.
3(2𝑥+3)
What does 𝑦⁴ mean in index notation?
Multiply 𝑦 by itself 4 times : 𝑦 x 𝑦 x 𝑦 x 𝑦.
What is 2⁻³? (Negative indices)
2⁻³ = 1/2³ = 1/8
What does 8 ⅓ mean?
The cube root of 8: 8 ⅓ = 2.
What is the value of π (pi) approximately?
π ≈ 3.142
How can you calculate π using a circle?
Divide the circumference by the diameter :
π = C/D
What does a time series chart show?
How data changes over time, often with a line graph.
What is the quotient rule for indices?
aᵐ ÷ aⁿ = aᵐ⁻ⁿ
Example : 5⁴ ÷ 5² = 5⁴⁻² = 5² = 25.
Round 0.004567 to 2 sf.
0.0046.
Sf = Significant figures
What is the reciprocal of 5?
⅕
Estimate the sum of 47 and 53 by rounding to the nearest 10.
50 + 50 = 100.
How do you draw a triangle with angles 30°, 60°, and 90°?
Draw the base, use a protractor to mark 30° and 60°, then connect to form the triangle.
What axis typically represents time in a time series graph?
the horizontal (x) axis.
What is √49?
√ : square root of…
(7 x 7 =49)
