Use a number line to add 54+(−24)

Question

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Answer 1

To add \( 54 + (-24) \) using a number line, you can follow these steps:

1. Start at 54: Begin by locating the number 54 on the number line.

2. Move Left: Since you are adding a negative number (\(-24\)), you will move left on the number line.

3. Count Backward: Move 24 units to the left from 54:

   • Move from 54 to 53 (1 step)
   • Move from 53 to 52 (2 steps)
   • Move from 52 to 51 (3 steps)
   • Keep counting backward until you reach 30:
     • 54 to 50 (4 steps)
     • 50 to 49 (5 steps)
     • 49 to 48 (6 steps)
     • 48 to 47 (7 steps)
     • 47 to 46 (8 steps)
     • 46 to 45 (9 steps)
     • 45 to 44 (10 steps)
     • 44 to 43 (11 steps)
     • 43 to 42 (12 steps)
     • 42 to 41 (13 steps)
     • 41 to 40 (14 steps)
     • 40 to 39 (15 steps)
     • 39 to 38 (16 steps)
     • 38 to 37 (17 steps)
     • 37 to 36 (18 steps)
     • 36 to 35 (19 steps)
     • 35 to 34 (20 steps)
     • 34 to 33 (21 steps)
     • 33 to 32 (22 steps)
     • 32 to 31 (23 steps)
     • 31 to 30 (24 steps)

4. Result: After moving 24 units left from 54, you end up at 30.

Thus, \( 54 + (-24) = 30 \).