Download Est Roots D2

Name: _______________________________________________
#
Math 8 Classwork/Homework: Estimating Roots Day 2
Follow these steps when estimating roots:
1) Find a perfect square/perfect cube that is __________ than your number.
2) Find a perfect square/perfect cube that is _____________ than your number.
3) Take the square root/cube root of each of the numbers. This will give you two
________________ that your number falls ______________.
4) Now compare the how far your number is away from the smaller and larger numbers. This
will give you an idea of where your number will fall on the number line.
HINT: sometimes a list of perfect squares and cubes helps!
Perfect squares: 1, 4, 9, 16, ____, 36, 49, 64, 81, 100, 121, 144, ____, 196, 225….
Perfect cubes: 1, 8, 27, 64, 125, 216, ____, 512, 729, 1000, ______, 1728…
Estimate each to the nearest integer.
1.
23
2.
3.
197
4.
250
6.
5.
3
List in order from least to greatest:
7.
{
3
105, 7, 5, 38
}
3
989
15.6
3
34
8. The formula t =
h
represents the time t in seconds that it takes an object to fall from a
4
height of h feet. If a rock falls from a height of 125 ft, estimate how long it will take to reach
the ground.
9. The volume of a cube is 210 in3. Estimate the side length of the cube to the nearest integer.
Use the formula V= s3.
10. Amanda purchased a storage cube that has a volume of 4 cubic feet. She wants to put in on a
bookshelf that is 12 in tall. Will the cube fit? Explain.
Estimate to the nearest tenth.
11.
3
59
3
12. 430
13.
44
14. Estimate the solution of the equation to the nearest integer: y2 = 55
Review:
1. Of the 150 students in Mr. Bacon’s classes, 16% play soccer,
9
play basketball, 33 play
25
football and 45 do not play a sport at all. Write the number of students that play each
sport.
{
4
2
9
0
5
2. Order from least to greatest: 3 , 5 , (−1) , 4 ,2
3. Write 35% as a simplified fraction.
4. Write
1
6
as a decimal.
}