1. Calculate 1 , and 4 sevenths to the nearest tenth. Draw a point on a number line.
2. Compare square root of 7 and 2.1.
3. Which list is in order from least to greatest?
A. square root of 27 , 4.6, 5.8, square root of 23
B. square root of 23 , 5.8, 4.6, square root of 27
C. 4.6, square root of 23 , square root of 27 , 5.8
D. 5.8, square root of 27 , square root of 23 , 4.6
4. You have 6 clay pots that you want to display in order form shortest to tallest. Which list has the heights of the pots in order from least to greatest?
A. 1.8 in., square root of 5 in., 2 , and 1 third in., 2.4 in., 2.5 in., square root of 8 in.
B. square root of 8 in., square root of 5 in., 2.4 in., 2.5 in., 1.8 in., 2 , and 1 third in.
C. square root of 8 in., 2.5 in., 2.4 in., 2 , and 1 third in., square root of 5 in., 1.8 in.
D. 1.8 in., 2.5 in., square root of 5 in., 2.4 in., 2 , and 1 third in., square root of 8 in.
5. Which list has the numbers in order from greatest to least?
A. negative 0.7 comma negative square root of 5 comma negative 2.9 comma negative , 2 ninths , comma negative , 37 over 10 , comma negative square root of 23
B. negative square root of 5 comma negative square root of 23 comma negative 2.9 comma negative 0.7 comma negative , 37 over 10 , comma negative , 2 ninths
C. negative , 2 ninths , comma negative 0.7 comma negative square root of 5 comma negative 2.9 comma negative , 37 over 10 , comma negative square root of 23
D. negative square root of 23 comma negative , 37 over 10 , comma negative 2.9 comma negative square root of 5 comma negative 0.7 comma negative , 2 ninths
6. Which list has the numbers in order from least to greatest?
A. negative 4 comma negative , 9 fourths , comma , 1 half , comma 3.7 comma square root of 5
B. negative 4 comma negative , 9 fourths , comma , 1 half , comma square root of 5 comma 3.7
C. 1 half , comma negative , 9 fourths , comma 3.7 comma square root of 5 comma negative 4
D. negative , 9 fourths , comma negative 4 comma , 1 half , comma 3.7 comma square root of 5
7. Four fruit trees are being moved into an orchard. The trees are going to be planted in order from tallest to shortest. Write the heights of the trees in order from greatest to least.
2 square root of 19 , ftcomma . 76 over 9 , ftcomma , 9 . .35ftcomma9 . .58ft
A. 76 over 9 , ftcomma , 2 square root of 19 , ft , 9.58 ft, 9.35 ft
B. 9.58 ft, 9.35 ft, 2 square root of 19 , ftcomma , , 76 over 9 , ft
C. 9.58 ft, 2 square root of 19 , ftcomma , , 76 over 9 , ft , 9.35 ft
D. 76 over 9 , ftcomma , 2 square root of 19 , ft , 9.35 ft, 9.58 ft
8.
a. Writing Find negative square root of 23 to the nearest tenth. Draw a point on a number line.
b. Explain why it might be better to use a decimal estimate instead of an exact value to plot this number on a number line.
9. Error Analysis Your math class is comparing square root of 7 and 3.4. Your friend says that square root of 7 greater than 3.4 because square root of 7 equals 3.5 .
a. What is the correct comparison?
b. What mistake did your friend likely make?
A. Your friend made an error when rounding the decimal value of square root of 7 to the nearest tenth.
B. Your friend found 7 ÷ 2, not square root of 7 .
C. Your friend found negative square root of 7 , not square root of 7 .
10.
a. Which list shows the numbers in order from least to greatest?
A. square root of 32 , comma , 5.2 , comma 4 , and 2 thirds , comma square root of 7
B. square root of 17 , comma 4 , and 2 thirds , comma , 5.2 , comma , square root of 32
C. 4 , and 2 thirds , comma , square root of 32 , comma , square root of 17 , comma , 5.2
D. 5.2 , comma , square root of 17 , comma , square root of 32 , comma 4 , and 2 thirds
b. Open-Ended Find two more irrational numbers that would fall in the middle of the list.