Question

lesson 7 | session 1
explore addition with negative integers
model it
complete the problems about adding opposites with integer chips.
1 neva plays a video game. on her first turn, she earns 3 points. on her second turn, she loses 3 points. the expression 3 + (-3) represents how many points she has after the two turns. you can use integer chips to find the sum of 3 and -3.
a. the sum of any number and its opposite is 0. another term for opposites is additive inverses. since the sum of 1 and -1 is 0, 1 and -1 form a zero pair. circle the zero pairs in the model.
b. how many points does neva have after her second turn?
c. what is 3 + (-3)?
2 neva starts the game over. the integer chips represent the number of points she has after her first turn. then she earns 5 points on her second turn.
a. how many points does neva have after her first turn?
b. draw chips to show the points neva earns on her second turn. then circle the zero pairs.
c. how many points does neva have after her second turn?
d. what is (-5) + 5?
understand: what does it mean to add a negative number?
discuss it
ask: why do you circle both a positive chip and a negative chip?
share: the value of a zero pair is... because...
learning targets smp 2, smp 3, smp 7

• find the sum of a number and its opposite.
• use models to add positive and negative integers.
• tell what a sum of integers means in a real - world situation.

, llc copying is not permitted.

Explanation:

Step1: Analyze the problem

We need to find the sum of \(3 + (-3)\). From the concept of additive inverses, a number and its opposite (negative) add up to 0. Here, 3 and -3 are opposites.

Step2: Apply the additive inverse property

The additive inverse property states that for any number \(a\), \(a + (-a)=0\). Substituting \(a = 3\), we get \(3+(-3) = 0\).

Answer:

\(0\)