place following sets in acsending order .3/7-6/7,1/7-1/2,2/7= -6/7, -1/2, 1/7, 2/7, 3/7
2. |4|+|-3|=4+3=7
3. |-9|-|-4|=9-4=5
1. To place the following sets in ascending order: .3/7 - 6/7, 1/7 - 1/2, 2/7 = -6/7, -1/2, 1/7, 2/7, 3/7, you can compare the fractions by finding a common denominator and then comparing the numerators.
First, let's find a common denominator for the fractions .3/7, 6/7, 1/7, 1/2, 2/7, and -6/7. The common denominator will be 7.
Now, convert each fraction to have a denominator of 7:
.3/7 = 0.3 * (7/7) = 2.1/7
6/7 = 6 * (1/7) = 6/7
1/7 = 1 * (1/7) = 1/7
1/2 = 3.5/7
2/7 = 2/7
-6/7 = -6/7
Now compare the numerators of each fraction:
2.1/7, 6/7, 1/7, 3.5/7, 2/7, -6/7
Ascending order: -6/7, 1/7, 2/7, 2.1/7, 3.5/7, 6/7
Therefore, the sets in ascending order are: -6/7, 1/7, 2/7, 2.1/7, 3.5/7, 6/7.
2. To evaluate the expression |4| + |-3|:
The absolute value of a number is its distance from zero on a number line. The absolute value of a positive number is the number itself, while the absolute value of a negative number is the number's opposite (positive form).
|4| = 4
|-3| = 3
Now add the absolute values:
|4| + |-3| = 4 + 3 = 7
Therefore, |4| + |-3| = 7.
3. To evaluate the expression |-9| - |-4|:
Just like in the previous example, the absolute value of a number is its distance from zero on a number line.
|-9| = 9
|-4| = 4
Now subtract the absolute values:
|-9| - |-4| = 9 - 4 = 5
Therefore, |-9| - |-4| = 5.