Question

learning goal 7.5/7.6: students will add integers without using manipulatives. find each sum. 1. 317 + (-544) 2. -756 + 284 3. 3,579 + (-1,987) 4. -5,000 + (-1)

Explanation:

Step1: Solve \( 317 + (-544) \)

When adding a positive and a negative integer, we can rewrite it as subtraction: \( 317 - 544 \). Since \( 544 > 317 \), the result will be negative. Calculate \( 544 - 317 = 227 \), so \( 317 + (-544) = -227 \).

Step2: Solve \( -756 + 284 \)

Adding a negative and a positive integer, rewrite as \( 284 - 756 \). Since \( 756 > 284 \), the result is negative. Calculate \( 756 - 284 = 472 \), so \( -756 + 284 = -472 \).

Step3: Solve \( 3579 + (-1987) \)

Rewrite as \( 3579 - 1987 \). Calculate \( 3579 - 1987 = 1592 \), so \( 3579 + (-1987) = 1592 \).

Step4: Solve \( -5000 + (-1) \)

Adding two negative integers, we add their absolute values and keep the negative sign. So \( |-5000| + |-1| = 5000 + 1 = 5001 \), and the result is \( -5001 \).

Answer:

1. \( -227 \)
2. \( -472 \)
3. \( 1592 \)
4. \( -5001 \)