Use the number line below to help you determine which of the following expressions is true.The number line goes from 5.0 to 6.0 with 9 labeled marks in between. Each mark increases by point one. There are five labeled points. A point labeled 5.04 is between 5.0 and 5.1. A point labeled 5.26 is between 5.2 and 5.3. A point labeled 5.4 is at the mark labeled 5.4. A point labeled 5.520 is between 5.5 and 5.6. A point labeled 5.71 is between 5.7 and 5.8.
A) 5.4 = 5.04
B) 5.04>5.26
C) 5.4<5.71
D) 5.26>5.4
Based on the given information, we can determine the following:
A) 5.4 = 5.04 - This is false, as 5.4 is not equal to 5.04. The number 5.04 is between 5.0 and 5.1.
B) 5.04 > 5.26 - This is false, as 5.04 is smaller than 5.26. The number 5.04 is between 5.0 and 5.1, while 5.26 is between 5.2 and 5.3.
C) 5.4 < 5.71 - This is true, as 5.4 is smaller than 5.71. The number 5.4 is at the mark labeled 5.4, while 5.71 is between 5.7 and 5.8.
D) 5.26 > 5.4 - This is false, as 5.26 is smaller than 5.4. The number 5.26 is between 5.2 and 5.3, while 5.4 is at the mark labeled 5.4.
Therefore, the correct expression is C) 5.4 < 5.71.