Which numbers from the set -10,0,951.6,0.001,7,325,3/8,-1/9 are rational nimbers
The numbers -10, 0, 7, 325, and 3/8 are rational numbers.
To determine which numbers from the given set are rational numbers, we need to identify the numbers that can be expressed as a ratio of two integers (i.e., a fraction).
From the set {-10, 0, 951.6, 0.001, 7, 325, 3/8, -1/9}, the numbers that can be expressed as a ratio of two integers are:
-10 (an integer)
0 (an integer)
7 (an integer)
325 (an integer)
3/8 (a fraction)
Therefore, the rational numbers from the set are -10, 0, 7, 325, and 3/8.
To determine which numbers from the given set are rational numbers, we need to understand what a rational number is.
A rational number is a number that can be expressed as a fraction, where both the numerator and the denominator are integers. In other words, a rational number can be written as a/b, where a and b are integers and b is not equal to zero.
Let's go through each number from the given set to determine if it is a rational number:
-10: -10 is an integer, and any integer can be expressed as a fraction with a denominator of 1. So, -10 can be written as -10/1, which means it is a rational number.
0: Similar to -10, 0 is an integer and can be expressed as 0/1. Therefore, 0 is a rational number.
951.6: 951.6 is not an integer, but it can be expressed as a fractional form. We can write it as 9516/10, where both the numerator and the denominator are integers. Hence, 951.6 is a rational number.
0.001: Like 951.6, 0.001 can be expressed as a fraction. By moving the decimal point three places to the right, we get 1/1000. Thus, 0.001 is a rational number.
7: 7 is an integer, so it can be expressed as 7/1. Therefore, 7 is a rational number.
325: Similar to 7, 325 is an integer and can be written as 325/1. Hence, 325 is a rational number.
3/8: 3/8 is already in the form of a fraction, where both the numerator (3) and the denominator (8) are integers. Thus, 3/8 is a rational number.
-1/9: -1/9 is also given in the form of a fraction, with both the numerator (-1) and the denominator (9) being integers. Thus, -1/9 is a rational number.
In summary, from the given set, all the numbers: -10, 0, 951.6, 0.001, 7, 325, 3/8, -1/9, are rational numbers.