Numbers of Any Magnitude
Round 4.747568 to 4 significant figures.
4.748
Simplify
3^3+19^0
Express your answer as a basic numeral.
27
Simplify
3x+5+4x-2
7x+3
Expand
(3x-2)(x+4)
3x^2+10x-8
A crowd of approximately 87 000 attended the grand final. What is this number in scientific notation?
8.7 x 104
Simplify
27x^3y^6 ÷9xy^2
3x^2y^4
Simplify
(2a)/5+a/10
a/2
Expand
(2x+3)^2
4x^2+12x+9
Toby's mass is 68.4kg. What is the absolute error of his mass?
Absolute Error = 1/2 x Precision = 1/2 x 100g = 50g
Simplify
(10m^5n^4)/(2m^2n)
5m3n3
Simplify
(6y)/9÷(2y)/6
2
Expand
(2y-1)(2y+1)
4y2 - 1
State the limits of accuracy for a distance measured to be 13.45 km.
Precision = 0.01 km
Absolute Error = 1/2 x precision = 1/2 x 0.01 = 0.005 km
Upper Bound = 13.45 + 0.005 = 13.455 km
Lower Bound = 13.45 - 0.005 = 13.445 km
Simplify
(x^9xxx^-2)/x^3
x4
Expand
-2(3x-4)
-6x + 8
Factorise
9b^2-25
(3b+5)(3b-5)
Find the percentage error for a measurement of 55 kg.
Precision = 1 kg
Absolute Error = 1/2 x precision = 1/2 x 1 = 0.5 kg
Percentage Error = absolute error / measurement = 0.5 / 55 = 0.91%
Simplify
6/(y^3z^3)xxz/(2y)
3/(y^4z^2)
Simplify
3(2a+5)-4(a+3)
2a + 3
Factorise
(8x+6)-x(8x+6)
(8x+6)(1-x)
Convert 3218941207 to scientific notation, rounding to four significant figures.
3.219 x 109
Simplify
(y^(-3)xxy^7)^3
y12
Factorise
5m^2+2m
m(5m+2)
Factorise
x^2+5x-36
(x-4)(x+9)
Evaluate
(2.6xx10^6)+(7.1xx10^5)
Give your answer in scientific notation.
3.31 x 106
Simplify
25xx5^3xx5^6
Express your answer with a base of 5.
511