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Get Started Now- Intro Lesson: a3:12
- Intro Lesson: b2:51
- Intro Lesson: c2:26
- Intro Lesson: d4:27
- Intro Lesson: e7:20
- Intro Lesson: f6:16
- Lesson: 1a2:19
- Lesson: 1b1:42
- Lesson: 1c1:39
- Lesson: 2a1:43
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- Lesson: 3a2:18
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- Lesson: 4c5:56
- Lesson: 5a3:41
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In this lesson, we will learn:

- What are the division rules for decimals and integers?
- How to divide decimals with integers: using mental math (with regrouping), base ten (block) models, and long division

- Numbers that are
**integers**can be defined as**positive**and**negative**whole numbers:

- What happens when we divide decimals with integers? It’s the same as multiplication!
- When dividing a decimal by a
**positive integer**, the answer will be.__positive__ - When dividing a decimal by a
**negative integer**, the answer will be.__negative__ - Negative decimals are also possible, so the full set of rules are:

- When dividing decimals with
**integers**, there are multiple ways to write a**division statement**, and it’s important to know where to put the**dividend**(the number being divided) and the**divisor**(the number you will divide by): - writing the statement from left to right (dividend ÷ divisor =), ex. 20 ÷ 5 =
- writing the statement in long division format (divisor)$\frac{}{dividend}$), ex. 5) $\overline{20}$
- writing the statement in the form of a fraction ($\large \frac{dividend}{divisor}$), ex. $\frac{20}{5}$
- When dividing decimals with
**integers**we can use three methods:
$\qquad$ 1. Using mental math (and regrouping)
- When using mental math, we use our division table knowledge and:
- Divide each place value by the
**integer** - If you are unable to divide, you will need to regroup to create a bigger number in the smaller neighbor place value (ex. 1 ones = 10 tenths, 1 tenths = 10 hundredths, 1 hundredth = 10 thousandths)
- We can also show decimal and integer division using
**base ten (block) models**. - We will deal with each place value separately when deciding how to represent the decimals.
- Then, decide whether your answer will be positive or negative. And, interpret the integer division as follows:
- i.e. ÷
**2**means out of every**two**blocks, keep one block - i.e. ÷
**3**means out of every**three**blocks, keep one block - i.e. ÷
**4**means out of every**four**blocks, keep one block - To divide decimals and integers using the
**standard algorithm**for:__long division__ - Write your division statement into the long division format and determine whether your answer will be positive or negative
- Line up the decimal place in the
**dividend**and the**quotient**(the answer); this will decide how many decimal places there will be in your answer

$\qquad$ 2. Using base ten (block models)

$\qquad$ 3. Using the long division algorithm

- IntroductionIntroduction to multiplying and dividing decimals with integers:a)What are the division rules for integers?b)What are the different formats that you can write a division statement?c)Dividing decimals with integers using mental mathd)Dividing decimals with integers using regroupinge)Dividing decimals with integers using base ten (block) modelsf)Dividing decimals with integers using long multiplication
- 1.
**Rewriting decimal-integer division statements and predicting answers**

Write each decimal and integer division statement intoand__long division format__. Then, state whether the answer will be__fraction format__.__positive or negative__a)60.25 ÷ -5 =b)309.18 ÷ 3 = ?c)48.36 ÷ -4 = ? - 2.
**Dividing decimals with integers without regrouping**

Use mental math to divide the following! First decide if your answer is positive or negative. Then divide each place value with the integer value.a)12.084 ÷ 4 =b)8.622 ÷ -2 =c)15.936 ÷ -3 = - 3.
**Dividing decimals with integers WITH regrouping**

Divide each decimal by each integer (regroup if necessary). Circle whether the answer will be positive or negative and rewrite the answer as a standard form decimal.a)b)c) - 4.
**Dividing decimals with integers by using base ten (block) models**

Use base ten (block) models to represent the division statement, then solve.a)5.68 ÷ 2 =b)6.39 ÷ -3 =c)8.42 ÷ -4 = - 5.
**Long division with decimals and integers**

Use the long division algorithm to divide each decimal with the integer given.a)6.7 ÷ - 4 =b)3.25 ÷ 5 =c)8.491 ÷ -7 =

10.

Decimals

10.1

What are decimals?

10.2

Multiplying decimals by powers of 10

10.3

Dividing decimals by powers of 10

10.4

Coverting between decimals and fractions

10.5

Comparing and ordering decimals and fractions

10.6

Multiplying decimals with integers

10.7

Dividing decimals with integers

10.8

Word problems for decimals and integers