pythagorean theorem
What is the Pythagoras theorem question?
a2+b2=c2.
What are some facts about the laws of exponents?
When multiplying like bases, keep the base the same and add the exponents
If the radius of a sphere is 3r, what is its volume?
36πr3 cu. units.
What is Scientific Notation?
a way of writing very large or very small numbers
5x5?
25
What does Pythagoras solve for?
find the missing side length of a right triangle
How to get rid of an exponent?
do the opposite operation to both sides
What is the total surface area of a cuboid whose length = 5 cm, width = 2 cm and height = 3 cm?
62 sq.cm.
What is 1000000000 written in scientific notation?
1 x 10 9.
354x822?
290,988
Does the Pythagorean apply to all triangles?
It only works for right triangles
How do exponents work?
The base is the repeated factor (the number multiplied) and the exponent counts the number of factors
What is volume with example?
the amount of space an object takes up.
What is 4500 million in scientific notation?
4,500 million in scientific notation is 4.5 × 10 9 .
1,464x4?
2,143,296
What is Pythagorean theorem answers?
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides
Why do exponents matter?
they allow us to abbreviate something that would otherwise be really tedious to write
What are two things about volume?
a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface
How to do scientific notation questions?
Multiplying by a positive power of 10 moves the decimal point to the right. Dividing by a positive power of 10 moves the decimal point to the left.
1,524,862-6,885?
1,517,977
Why is Pythagoras theorem correct?
Because the ratio of the area of a right triangle to the square of its hypotenuse is the same for similar triangles
How to subtract exponents?
add together their coefficients and keep the base and exponent the same
How to find the volume?
multiply length times width times height
How do you write 0.000027 in scientific notation?
2.7 x 10-5
888x888?
788,544