08302023 - Adding and Subtracting Integers Review

Adding and Subtracting Integers Word Problems

by Kevvin Hankins

Adding and Subtracting Integers

Let's Review!

Open Ended

List EVERYTHING you know about adding and subtracting integers!

Adding Integers

Our strategy depends on the signs!

Same signs: Add the absolute values of the numbers and keep the shared sign.

Different signs: Subtract the absolute values of the numbers and keep the sign of the number with the greater absolute value.

Multiple Select

We want to add  $$-37+14$$ - Which of the following are true? 

• We need to add 37 + 14

• We need to subtract 37 - 14

• The sum will be positive

• The sum will be negative

Fill in the Blank

$$-37+14=?$$  

Multiple Select

We want to add  $$-28+\left(-11\right)$$ - Which of the following are true? 

• We need to add 28 + 11

• We need to subtract 28 - 11

• The sum will be positive

• The sum will be negative

Fill in the Blank

$$-28+\left(-11\right)=?$$  

Fill in the Blank

$$90+\left(-52\right)=?$$  

Fill in the Blank

$$-76+\left(-12\right)=?$$  

Subtracting Integers

We always rewrite subtraction problems as adding the opposite.

Subtracting 3 is the same thing as adding -3.

Subtracting -879 is the same thing as adding 879.

Then, we use the addition rules to add!

Multiple Choice

Which of the following show a valid way of subtracting  $$-19-18$$  ? 

• $$19+\left(-18\right)=1$$  

• $$19+18=37$$  

• $$-19+18=-1$$  

• $$-19+\left(-18\right)=-37$$  

Multiple Choice

Which of the following show a valid way of subtracting  $$-23-\left(-17\right)$$  ? 

• $$23+\left(-17\right)=6$$  

• $$23+17=40$$  

• $$-23+17=-6$$  

• $$-23+\left(-17\right)=-40$$  

Multiple Choice

Which of the following show a valid way of subtracting  $$32-\left(-20\right)$$  ? 

• $$32+\left(-20\right)=12$$  

• $$32+20=52$$  

• $$-32+20=-12$$  

• $$-32+\left(-20\right)=-52$$  

Fill in the Blank

$$-7-11=?$$  

Fill in the Blank

$$-9-\left(-15\right)=?$$  

Open Ended

Summarize: What do you know now about adding and subtracting integers?