Describe how to add 15 and -16 1/2 using a number line
To add 15 and -16 1/2 using a number line, follow these steps:
1. Draw a number line with a clear 0 in the middle.
2. Start by representing 15 on the number line. To do this, move 15 units to the right from 0 and label the point as 15.
3. Now, add -16 1/2 to the number line. To represent a negative number, move in the opposite direction. In this case, move 16 units to the left from 0.
4. Since we also have a fraction of -1/2, continue moving 1/2 unit to the left from the point representing -16.
5. Now, label the endpoint of these movements as -16 1/2.
6. To find the sum, add the points on the number line: 15 + (-16 1/2).
7. Move 16 1/2 units to the left from the point labeled 15 on the number line.
8. Label the endpoint as the sum of 15 and -16 1/2.
9. The resulting point on the number line is -1/2. Therefore, the sum of 15 and -16 1/2 is -1/2.
So, 15 + (-16 1/2) equals -1/2, represented on the number line.
To add 15 and -16 1/2 using a number line, follow these steps:
1. Draw a number line with a horizontal line and a point in the middle representing zero.
--------●---------
2. Mark the point for 15 units to the right of zero:
--------●------------------------15
3. Now, mark the point for -16 1/2 units to the left of zero:
-16 1/2----●------------------------15
4. To add the two numbers, start at the point representing 15 and move to the left by 16 1/2 units.
-16 1/2----●---------15
5. Count the number of units you moved to the left. Start at 15 and count backwards.
-16 1/2----●---------15
14 1/2 13 1/2 12 1/2 11 1/2 10 1/2 9 1/2 8 1/2 7 1/2 6 1/2 5 1/2 4 1/2 3 1/2 2 1/2 1 1/2 1/2 -1/2 -1 1/2 -2 1/2 -3 1/2 -4 1/2 -5 1/2 -6 1/2 -7 1/2 -8 1/2 -9 1/2 -10 1/2 -11 1/2 -12 1/2 -13 1/2 -14 1/2 -15 1/2 -16 1/2
6. The final point is located at -1/2 on the number line:
-16 1/2----●---------15
-1/2
So, the result of adding 15 and -16 1/2 is -1/2.