1. Think About the Process
a. What is the first step in finding the two consecutive whole numbers between which square root of 845 is located?
A. Find the two perfect squares closest to 845.
B. fraction square root of 844 , plus , square root of 846 , over 2 end fraction . . .
C. Evaluate square root of 845 squared end root .
D. Evaluate square root of 845 .
b. On a number line, between which two whole numbers would square root of 845 be located?
A. 31 and 32
B. 29 and 30
C. 28 and 29
D. 30 and 31
2. On a number line, between which two consecutive whole numbers would square root of 61 be located?
A. 7 and 8
B. 9 and 10
C. 6 and 7
D. 8 and 9
3. The height of a painting is square root of 90 ft. Between which two consecutive whole numbers is square root of 90 ?
A. 11 and 12
B. 8 and 9
C. 10 and 11
D. 9 and 10
4. Estimate square root of 15 to the nearest tenth. Then locate square root of 15 on a number line.
5. Estimate square root of 136 to the nearest tenth.
6. Estimate square root of 37 to the nearest hundredth. Then locate square root of 37 on a number line.
7. Think About the Process
a. What is the second step in finding the two consecutive whole numbers between which square root of 185 is located?
A. Evaluate fraction square root of 184 , plus , square root of 186 , over 2 end fraction .
B. Find the square roots of the two perfect squares closest to 185.
C. Evaluate square root of 185 .
D. Evaluate square root of 185 squared end root .
b. Estimate square root of 185 to the nearest hundredth.
8. The area of a square poster is 31 in.^{2}. Find the length of one side of the poster to the nearest tenth of an inch.
9. A tree is 16 feet tall. A wire runs from the top of the tree to a point 8 feet from its base. The wire is square root of 320 feet long. Estimate the length of the wire to the nearest hundredth of a foot.
10.
a. Writing On a number line, between which two consecutive whole numbers would square root of 381 be located?
A. 19 and 20
B. 20 and 21
C. 18 and 19
D. 21 and 22
b. Explain why it might be useful to approximate the value rather than use the exact value.
11. Mental Math The volume of displacement in an engine is square root of 84 L. Between which two consecutive whole numbers is square root of 84 ?
A. 8 and 9
B. 11 and 12
C. 10 and 11
D. 9 and 10