Dividing Integers

Dividing Integers

December 2, 2020

Division is the opposite of multiplication.

If we are given the multiplication problem:

 $2\cdot6\ =\ 12$  

we can write a division problem two ways:

  $12\div6\ =2$  or  $12\div2\ =\ 6$  

Dividing Integers - Think about this!

You just got paid $18 dollars for babysitting for 3 hours. How much did you get paid per hour?

Multiple Select

Write the multiplication sentence as a division sentence. Select all answer choices that are correct.

 $2\cdot\left(-4\right)\ =\ -8$  

•  $8\div4\ =\ 2$  

•  $-8\div\left(-4\right)\ =\ 2$  

•  $\left(-8\right)\div2\ =\ -4$  

•  $-4\div-8\ =\ 2$  

Multiple Select

Write the multiplication sentence as a division sentence. Select all answer choices that are correct.

 $-3\cdot5\ =\ -15$  

•  $-15\div\left(-5\right)\ =\ 3$  

•  $-15\div5\ =\ -3$  

•  $\left(-15\right)\div\ 3=\ 5$  

•  $\left(-15\right)\div\left(-3\right)\ =\ 5$  

Division Notation

• We might see a division problem written a couple different ways

•  $-25\div\left(-5\right)$  

• the fraction bar $\frac{-25}{-5}$  

The rules for integer multiplication and division are the same!

• two integers with the same sign = positive

• two integers with different signs = negative

Multiple Choice

When you multiply two integers with the same sign, the product is...

• positive

• negative

Multiple Choice

When dividing two integers with the same sign, the quotient is...

• positive

• negative

Multiple Choice

When dividing two integers with different signs, the quotient is...

• negative

• positive

Multiple Select

 $-15\div\left(-3\right)$  

• positive quotient

• negative quotient

Poll

How are you feeling about the lesson so far?

• I get it!

• I'm starting to get it!

• I don't understand yet

Multiple Choice

• 4

• -4

• -3

• 3

Multiple Choice

• -4

• 4

• 3

• -3

Multiple Choice

• 7

• -7

• 63

• 63

Multiple Choice

• 4

• -4

• 64

• -46

Multiple Choice

• -4

• 4

• 16

• -16

Open Ended

If any, determine the error in this problem. Explain your reasoning.

 $-100\div2\ =\ 50$  

Solving Division Word Problems

When solving word problems, you need to think about what the problem is asking for. Divide the problem into smaller chunks in order to try to solve what you need to solve

Open Ended

In your own words, what are the rules for integer division and multiplication.

Open Ended

Ashley and her sister decide to split the cost of dinner, which is $26. How much will each sister pay?