Name: _____________________
Period: ____________________
1.1 Comparing and Ordering Real Numbers Worksheet
Write the numbers in ascending (lowest to highest) order.
1) 0, −√2, √5,
13
4
3
2) 3, √10, 4 , −1.5
3
3
3) 2, − 7 , 0.75, − 2
4) Which list shows the numbers in increasing order?
A) -0.5, 1.5, -2, -0.75, √7
B) -0.5, -2, -0.75, 1.5, √7
C) -2, -0.75, -0.5, 1.5, √7
D) √7, 1.5, −0.5, −0.75, −2
7
5) Graph the numbers -0.2, 10 , −1, √2, and − 4 on a number line.
-8 -7, -6 -5 -4 -3 -2 -1 0 1 2
3
3 4
5
6 7 8
9
6) Graph the numbers − 4, 5, 2 , −2, and − 1 on a number line.
-8 -7, -6 -5 -4 -3 -2 -1 0 1 2
5
3 4
5
6 7 8
9
7) Graph the numbers −3, 2 , 2, − 4 , 𝑎𝑛𝑑 4 on a number line.
-8 -7, -6 -5 -4 -3 -2 -1 0 1 2
3 4
5
6 7 8
Name: _____________________
Write all the names that apply to each number (i.e. rational, irrational, real, etc).
8.
9.
11. -25
12. -6.75
10.
Find a real number between each pair of numbers.
13. 6.42 and
14.
Name: _____________________
1.1 Comparing and Ordering Real Numbers Worksheet
Write the numbers in ascending order.
1) 0, −√2, √5,
13
−√2, 0, √5,
4
3
2) 3, √10, 4 , −1.5
3
3
3) 2, − 7 , 0.75, − 2
13
4
3
−1.5, 4, 3, √10,
3
3
− 2 , − 7, 0.75, 2
4) Which list shows the numbers in increasing order?
A) -0.5, 1.5, -2, -0.75, √7
B) -0.5, -2, -0.75, 1.5, √7
C) -2, -0.75, -0.5, 1.5, √7
D) √7, 1.5, −0.5, −0.75, −2
7
5) Graph the numbers -0.2, 10 , −1, √2, and − 4 on a number line.
-8 -7, -6 -5 -4 -3 -2 -1 0 1 2
3
3 4
5
6 7 8
9
6) Graph the numbers − 4, 5, 2 , −2, and − 1 on a number line.
-8 -7, -6 -5 -4 -3 -2 -1 0 1 2
5
3 4
5
6 7 8
9
7) Graph the numbers −3, 2 , 2, − 4 , 𝑎𝑛𝑑 4 on a number line.
-8 -7, -6 -5 -4 -3 -2 -1 0 1 2
3 4
5
6 7 8