Use the interactive number line to find each sum to complete the table.

A 3-column table with 4 rows. Column 1 is labeled a with entries 1, negative 1, negative 4, negative 6. Column 2 is labeled b with entries 2, negative 2, 1, negative 3. Column 3 is labeled a + b with entries 3, R, S, T.

R =
S =
T =

1 answer

To find each sum in the table, we will add the values in columns \( a \) and \( b \).

Let’s calculate each sum:

  1. For \( a = 1 \) and \( b = 2 \): \[ 1 + 2 = 3 \] So, \( a + b = 3 \).

  2. For \( a = -1 \) and \( b = -2 \): \[ -1 + (-2) = -1 - 2 = -3 \] So, \( R = -3 \).

  3. For \( a = -4 \) and \( b = 1 \): \[ -4 + 1 = -3 \] So, \( S = -3 \).

  4. For \( a = -6 \) and \( b = -3 \): \[ -6 + (-3) = -6 - 3 = -9 \] So, \( T = -9 \).

Now we can complete the table:

  • First row: \( 3 \)
  • Second row: \( R = -3 \)
  • Third row: \( S = -3 \)
  • Fourth row: \( T = -9 \)

Final results:

\[ R = -3 \] \[ S = -3 \] \[ T = -9 \]