DIRECTIONS:For each example cite the number property used, and explain how it is used in the problem. QUESTION:When all members of the United States Senate meet, there are one hundred members present.One day, the 8 Republicans on the judiciary committeemet together while the 8 Democrats met with the remaining members of the Senate. The next day, the entire judiciary committee met together while the rest of the Senate met. The total number of senators remains at 100.
When all members of the United States Senate meet, there are one hundred members present.
One day, the 8 Republicans on the judiciary committee met together while the 8 Democrats met with the remaining members of the Senate.
84 + 8 Dems in big room , 8 Repubs in other
(84+8) + 8 = 100
The next day, the entire judiciary committee met together while the rest of the Senate met.
84 + room with 8 dems and 8 repubs = 100
84 +(8+8) = 100
So
84 + (8 + 8) = (84 +8) + 8
That is the Associate Property
a + (b+c) = (a+b) + c
The total number of senators remains at 100.
100 = 84 + 16
thanks a lot !
Number property used: Addition
Explanation: In this problem, we are dealing with the total number of members in the United States Senate, which is always 100.
First, we are given that when the entire Senate meets, there are 100 members present. This establishes the total number of senators as the base value in the problem.
Next, we are told that on one day, the 8 Republicans on the judiciary committee meet together, while the 8 Democrats meet with the remaining members of the Senate. This means that there are 8 + (100 - 8) = 100 senators present, as the 8 Republicans are meeting separately, and the remaining members of the Senate are meeting with the Democrats.
Then, on the next day, the entire judiciary committee meets together, while the rest of the Senate meets. Since the judiciary committee has 8 members and the rest of the Senate has (100 - 8) members, the total number of senators again remains the same at 100.
In this problem, the addition property is used to determine the number of senators present in each scenario by adding or subtracting the appropriate numbers. The total number of senators remains constant at 100 throughout the problem.