The sum of two numbers is what you get when you add them together. Write an
expression for the sum of the two numbers a
and b
.
The difference between two numbers is what you get when you subtract the
second from the first. Write an expression for the difference between the
two numbers a
and b
.
The product of two numbers is what you get when you multiply them. Write an
expression for the product of the two numbers a
and b
.
The ratio between two numbers is what you get when you divide the first by
the second. Write an expression for the ratio of the two
numbers a
and b
.
The remainder of of dividing one number by another is the integer part left
over after doing a division. Write an expression for the reminder after
dividing a
by b
.
The average of two numbers is their sum divided by two. Write an expression
for the average of the two numbers a
and b
.
The average of three numbers is their sum divided by three. Write an
expression for the average of the numbers a
, b
,
and c
.
The average of an arbitrary number of numbers is their total divided the
number of numbers. Write expression for the average of a set
of count
numbers whose total is total
.
The distance between two numbers (e.g. on the number line) is the absolute
value of their difference. The Math.abs
function returns the
absolute value of its argument. Write an expression that computes the
distance between two numbers a
and b
.
The “Manhattan distance” between two points in 2d space is the sum of the
distance between the points along the x axis (crosstown) and the distance
between the points along the y axis (uptown/downtown). Write an expression
that computes the Manhattan distance between two points the first whose x,y
coordinates are given by the numbers x1
and y1
and
the second by the numbers x2
and y2
.
The normal way we measure the distance between points in 2d space is called
Euclidian distance and is computed as the square root of the sum of the
squares of the distance along the x and y axes. Write an expression that
computes the Euclidian distance between two points the first whose x,y
coordinates are given by the numbers x1
and y1
and
the second by the numbers x2
and y2
. You can use
the function Math.sqrt
to compute the square root of a number,
e.g. Math.sqrt(4)
⟹ 2
.