7° : Introduction to Integers

INTEGERS

By Mr. Ramos

Multiple Select

Check all that are integers. (There are actually three of them.)

• $$-3$$   

• $$0$$   

• $$\sqrt[]{5}$$  

• $$\frac{3}{5}$$  

• $$3^2$$  

Multiple Select

This expression $$\left|2\right|$$   is read as

• The boundary of $$2$$    

• The absolute value of $$2$$    

• Two lines enclosing $$2$$   

Multiple Select

What is $$\left|-5\right|$$  

• $$5$$    

• $$-5$$    

Multiple Choice

Find possible values of $$x$$  so that $$\left|x\right|=4$$  

• $$-4\ only$$     

• $$-4\ and\ 4$$     

Addition Integers (Same Sign)

Add the numbers and copy common sign.

Some text here about the topic of discussion

Multiple Choice

$$-4+\left(-5\right)$$  

• $$-9$$  

• $$9$$  

Multiple Choice

$$-7+\left(-4\right)$$  

• $$11$$  

• $$-11$$  

Multiple Choice

$$8+6$$  

• $$14$$  

• $$-14$$  

Multiple Choice

$$\left(-3\right)+\left(-1\right)$$  

• $$4$$   

• $$-4$$   

Addition of Integers (Different Sign)

Subtract the numbers and copy sign of the larger number.

Some text here about the topic of discussion

Multiple Choice

$$-4+9=?$$  

• $$-5$$  

• $$5$$  

Multiple Choice

$$13+\left(-9\right)=?$$  

• $$-4$$  

• $$4$$  

Multiple Choice

$$-9+11=?$$  

• $$-2$$  

• $$2$$  

Summary : Addition of Integers

In the next several slides are problems involving addition of integers with the same sign and also different signs.

Multiple Choice

$$3+\left(-5\right)=?$$  

• $$-2$$  

• $$2$$  

• $$8$$  

• $$-8$$  

Multiple Choice

$$-3+\left(-5\right)=?$$  

• $$-8$$  

• $$2$$  

• $$-2$$  

• $$8$$  

Multiple Choice

$$7+\left(-7\right)=?$$  

• $$-14$$   

•   $$14$$  

• $$0$$  

Multiple Choice

$$12+\left(-7\right)=?$$  

• $$-19$$    

•   $$-5$$   

• $$19$$  

• $$5$$  

Subtraction of Integers

Apply the KCC(Keep Change Change rule. Then proceed to ADDITION.

Multiple Choice

$$-4-9\$$   is the same as

• $$4+9$$  

• $$4+\left(-9\right)$$  

• $$-4+\left(-9\right)$$  

• $$4-\left(-9\right)$$  

Multiple Choice

$$6-\left(-10\right)\$$   is the same as

• $$6+10$$  

• $$6+\left(-10\right)$$  

• $$-6+\left(-10\right)$$  

• $$-6-10$$  

Multiple Choice

$$2-9$$   is the same as

• $$2+9$$  

• $$2+\left(-9\right)$$  

• $$-2+\left(-9\right)$$  

• $$2-\left(-9\right)$$  

Fill in the Blank

$$9-\left(-8\right)=?$$  

Fill in the Blank

$$-3-3=?$$  

Fill in the Blank

$$-3-\left(-3\right)=?$$  

Multiple Choice

$$-4-7=?$$  

• $$-3$$  

• $$-11$$  

• $$3$$  

• $$11$$  

Multiple Choice

$$-7-\left(-2\right)=?$$  

• $$5$$  

• $$-9$$  

• $$9$$  

• $$-5$$  

Mixed Addition and Subtraction

• Convert all subtraction into addition using KCC rule.

Your turn on the next slide.

Multiple Choice

$$-5+6-\left(-3\right)\ =?$$  

• $$-4$$  

• $$4$$  

• $$14$$  

• $$-8$$  

Multiple Choice

$$7-\left(-6\right)+\left(-8\right)=?$$  

• $$-21$$  

• $$9$$  

• $$-7$$  

• $$5$$  

Multiple Choice

$$-3+2-\left(-4\right)-6=?$$  

• $$-3$$  

• $$7$$  

• $$-5$$  

• $$13$$  

Integers and Number Line

Your turn on the next slide.

Integers and Number Line

Your turn on the next slide.

Multiple Choice

What addition problem is being illustrated?

• $$1+\left(-6\right)$$  

• $$1+\left(-5\right)$$  

• $$7+\left(-1\right)$$  

• $$1+\left(-7\right)$$  

Multiple Choice

What addition problem is being illustrated?

• $$4+\left(-3\right)$$  

• $$-3+7$$  

• $$-3+3$$  

• $$3+\left(-7\right)$$  

Word Problems

Problems involving integers ​

Some text here about the topic of discussion

Multiple Choice

It is $$6°C$$  now but it gets colder by $$8°C$$  in the next few hours. What will be the temperature then?

• $$2°C$$  

• $$-2°C$$  

• $$14°C$$  

• $$-14°C$$  

Multiple Choice

When Arturo woke up, his temperature was $$32°C$$  . Two hours later it was $$6°C$$   lower. What was his temperature then?

• $$26°C$$  

• $$-2°C$$  

• $$14°C$$  

• $$-14°C$$  

Multiple Choice

If it is $$5°C$$   outside and the temperature will drop $$9°C$$   in the next six hours, how cold will it get?

•   $$14°C$$  

• $$-14°C$$   

•   $$4°C$$  

• $$-4°C$$   

Multiple Choice

It will be $$-12°C$$   tonight. The weatherman predicts that it will be $$23°C$$   warmer by noon tomorrow. What will the temperature be by noon tomorrow?

•   $$11°C$$   

• $$-11°C$$    

•   $$35°C$$   

• $$-35°C$$