Rational and Irrational numbers
what is the difference between a rational number and irrational number
Rational numbers can be written as fractions. They either have a repeating decimal or end. Irrational numbers can not be written as a fraction because they do not repeat or terminate
What two perfect squares is the square root of 27 between?
between 5 and 6.
What is the square root of 9?
3
A company has a building block that has a volume of 1ftcubed. What is the side length of the block?
1 foot
Write 0.76767676.... as a fraction
76/99
Explain why 4.18181818... is a rational number
because it has a repeating decimal
What is the closest approximation to the square root of 103?
10
10.1
10.3
10.5
10.1
What is the square root of 169?
13
What is the cube root of 8?
2
False 5 is not a perfect square so it is irrational
What is 0.33333... as a fraction?
3/9 =1/3
What value is greater?
the square root of 7 or 3.444444...
3.444444... is greater because the square root of 7 is about 2.64575
Is the square root of 47 a perfect square?
No there is no integer that can be multiplied by itself to get 47.
The volume of a cube is 512 cubic inches. What is the length of each side?
8 inches
Approximate the negative square root of 23
-4.8
Is PI rational or irrational? Explain.
The square root of 8 is between what two approimations?
2.9 and 3.0
2.8 and 2.9
2.7 and 2.8
2.8 and 2.9
Emily wants to buy a tablecloth to cover a square card table. She knows that the tabletop has an area of 9 square feet. What are the minimum dimensions of the tablecloth that Emily needs?
The tablecloth should be at least 3x3 feet because the square root of 9 is 3
Maria has a cube-shaped box that measures 9 inches along the edge. Can she fit 1000 square-inch cubes inside the box?
No because 9x9x9=729, which is less than 1,000
Richie says that 2.141441444.... is a rational number. Elsa disagrees. Who is correct and why?
Elsa the number has a pattern but does not repeat so it is irrational
Are all perfect squares and perfect cubes rational?
Yes because they are the square or cube of an integer and all integers are rational
Is the square root of 40 greater than or less than 6?
A toy has various shaped objects that a child can push through matching holes. The area of the square hole is 8 squared centimeters. The volume of a cube-shaped block is 64 cubic centimeters. What is the edge length?
4 cm
Julio cubes a number then takes the cube root of the result. He ends up with 20. What number did he start with?
20
A toy has various shaped objects that a child can push through matching holes. The area of the square hole is 8 squared centimeters. The volume of a cube-shaped block is 64 cubic centimeters. Will the block fit in the square hole?
No the area of the block is 16cm squared. The hole has an area of 8cm squared. the block will not fit