Question

1. $-4 + (-7)$

a. how many counters are there? ______
b. do the counters represent positive or negative integers? ____________
c. $-4 + (-7) = $ ______

Explanation:

Part a

Step1: Count top counters

Top row has 4 counters.

Step2: Count bottom counters

Bottom row has 7 counters.

Step3: Total counters

Add top and bottom: \( 4 + 7 = 11 \).

The expression is \(-4 + (-7)\), and the counters are likely representing negative integers (as the numbers in the expression are negative, and counters here are used to model negative quantities for addition of negative numbers).

Step1: Recall addition of negatives

Adding two negative numbers: \( -4 + (-7) \) is same as \( -(4 + 7) \).

Step2: Calculate sum of positives

\( 4 + 7 = 11 \).

Step3: Apply negative sign

So, \( -4 + (-7) = -11 \).

Answer:

11

Part b