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Core Focus on Decimals & Fractions Core Focus on Decimals & Fractions

Core Focus on Decimals & Fractions - PowerPoint Presentation

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Core Focus on Decimals & Fractions - PPT Presentation

Dividing by 1Digit Numbers Lesson 23 WarmUp 1 32 5 2 21 84 3 Maria split 20 cookies evenly on plates 4 for her friends How many cookies did each friend get ID: 778864

beads number taylor quotient number beads quotient taylor subtract drop necklaces write jars multiply divide necklace remainder divisor column

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Presentation Transcript

Slide1

Core Focus on Decimals& Fractions

Dividing by 1-Digit Numbers

Lesson 2.3

Slide2

Warm-Up1. 32 ×

5 =

2. 21

×

__ = 843. Maria split 20 cookies evenly on plates 4 for her friends. How many cookies did each friend get?4. 8 × 4 = 32. What does 32 ÷ 4 equal?

160

4

5 cookies

8

Slide3

Dividing by 1-Digit NumbersFind quotients of expressions where whole numbers are divided by 1-digit whole numbers including remainders.

Lesson 2.3

Slide4

DividendThe number you are dividing.

DivisorThe number you are dividing by.

Quotient

The answer to a division problem.

VocabularyDividend

Divisor

Quotient = 24

24

48

÷

2

=

24

or

2

48

Slide5

Taylor is making necklaces for 4 people. She wants each necklace to have the same number of beads of each color. Listed below are the beads Taylor has.52 red beads 76 white beads 48 brown beads68 black beads 64 clear beads 80 blue beads

Step 1 Set out 52 Base-Ten Blocks to model the 52 red beads.

5 tens sticks = 50

2 ones cubes = 2

50 + 2 = 52

Explore! Beaded Necklaces

Slide6

Explore! Beaded Necklaces

Step 2 Separate the 5 tens sticks into 4 piles to show the 4 necklaces Taylor is making.

Extra stick

Slide7

Step 3 Trade the extra tens stick for 10 ones cubes. Add these to the 2 ones cubes you had to start with.

=

+

=

1 ten stick = 10 ones 10 ones + 2 ones = 12 ones

Explore! Beaded Necklaces

Slide8

Step 4 Separate the 12 ones cubes into the 4 piles to show the 4 necklaces Taylor is making.

Each necklace will have 13 red beads.

Explore! Beaded Necklaces

Slide9

Step 5

Use Steps 1-4 and Base-Ten Blocks to figure out how many...

a.

white beads Taylor will have for each necklace.

b. brown beads Taylor will have for each necklace. c. black beads Taylor will have for each necklace. d. clear beads Taylor will have for each necklace. e. blue beads Taylor will have for each necklace.

Explore! Beaded Necklaces

Slide10

Example 1

What is the quotient of 58 ÷ 2

?

DIVIDE

: Begin division with the digit in the largest place value in the dividend (58). 5 ÷ 2

MULTIPLY:

How many times can the divisor go into the number without going

over?

2

× ____ = ____ (a number close to 5) 2 × 2 = 4.

Write

a 2 in the tens place of the

quotient.

Write

the number 4 below the 5.

DIVIDE – MULTIPLY – SUBTRACT – DROP DOWN − REPEAT

2

4

Slide11

Example 1 Continued…

What is the quotient of 58

 2?

SUBTRACT

: Subtract 5 – 4 = 1. Write 1 below the number 4 in the tens column. Make sure your partial difference (1) is less than your divisor (2). If it is not, a mistake has been made.

DROP DOWN

:

Bring the next number in the dividend (8) down with the partial difference and keep the 8 in the ones column.

2

– 4

1

DIVIDE – MULTIPLY – SUBTRACT – DROP DOWN − REPEAT

8

Slide12

Example 1 Continued…

What is the quotient of 58  2?

REPEAT

:

1. Divide: 18 ÷ 2.2. Multiply: 2 × ____ = ____ (

18 or a number close to 18) 2 × 9 = 18.

3. Subtract

: 18 – 18 = 0.

4. Drop

Down: When the last partial

difference

is 0, the divisor divides evenly into the dividend.

58 ÷ 2 = 29

DIVIDE – MULTIPLY – SUBTRACT – DROP DOWN − REPEAT

2

– 4

1

8

9

– 1

8

0

CHECK YOUR ANSWER.

Use the relationship between multiplication and division.

58

 2 = 29 so 29  2 = 58

Slide13

Vocabulary

RemainderThe number that is left over when the division problem is completed. It is always written after the whole number in the quotient. It can be written with an R for remainder or as a fraction.

Good to Know!

 Sometimes it makes more sense to write the remainder as a fraction, especially when working with measurements.

Example:

325 inches

4 = 81 R1 or . The measurement inches makes more sense in this situation than 81 R1.

When writing a remainder as a fraction, put the remainder over the divisor

.

Fraction

A number that represents part of a whole number. It is written .

Slide14

Example 2DIVIDE: Begin division with the digit in the largest

place value in the dividend (395). There are 0 groups of 8 in the number 3. Place a 0 in the box above 3 in the hundreds column of

the quotient. How many times does 8 divide into

39 without

going over?MULTIPLY: 8 × 4 = 32 (a number close to 39). Write the factor (4) in the quotient above the 9 in the tens column. Write the product (32) on the

line below

39.

Terri made 395 chocolate cake pops for her catering business. She can put them into groups of 8 in jars to decorate tables at a party. How many jars will she need?

– 3 2

0

4

Slide15

Example 2 Continued…SUBTRACT: Subtract 39 – 32 = 7. Write the

difference (7) below the number 32. Make sure your partial difference (7) is less than your divisor (8). If it is not

, a

mistake has been made

.DROP DOWN: Bring the next number (5) in the dividend down to the right of the partial difference in the ones column.

– 3 2

7

0

4

Terri made 395 chocolate cake pops for her catering business. She can put them into groups of 8 in jars to decorate tables at a party. How many jars will she need?

5

Slide16

Example 2 Continued…REPEAT:

1. Divide 75 by 8.2. Multiply 8  9

= 72. The factor (9) goes in the quotient above the 5 (ones column).

3. Subtract the answers from 75. (75 – 72 = 3).

4. Drop Down: Nothing to drop down from dividend.5. The remainder is written after the whole number part of the quotient as R3.Terri needs 49 jars for her cake pops.She will have 3 cake pops left over.

– 3 2

7

0

4

Terri made 395 chocolate cake pops for her catering business. She can put them into groups of 8 in jars to decorate tables at a party. How many jars will she need?

5

9

– 7 2

3

R3

It makes sense to write this remainder as R3 because there are 3 cake pops left after Terri is finished arranging them in jars.

Always check your answer by using multiplication.

If 395

 8 = 49 R3, then

49  8 + 3 = 395.

Slide17

Communication PromptWhat are some situations where remainders might be written as fractions?

Slide18

Exit Problems

1. What is 426 ÷ 6?

2. Terry bought 211 inches of fabric. She cut it into 4 equal lengths. How many inches long will each piece be?

3. Jarrod has 92 maple trees to set out at his nursery.

He wants to put them in 8 equal rows.

a. How many maple trees will be in each row?

b. How many maple trees will be left over?

71

Each piece of fabric will be

52 inches long.

11 trees

4 trees