how would you divide
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How would you divide
1,315 ÷ 5?
In this lesson you will learn how to divide by using
expanded notation.
Let’s ReviewLet’s ReviewChallenging problems can be broken
into smaller parts
20 x 13 20 = 2 x 10
I know that 20 is 2 times 10
I can multiply 13 x 2 and get
26
Then I can multiply 26 x 10
and get 260
26 x 10 = 260
13 x 2 = 26
20 x 13 = 260
Let’s ReviewLet’s Review
Expanded notation
2,615 = 2,000 + 600
+ 10
+ 5
Let’s ReviewCore Lesson
1,315 ÷5
Smart rounding ≈ 1,500 ÷ 5
Smart estimate less than 300
1,500 divides easily by 5
Let’s ReviewCore Lesson 1,315 ÷ 5
This makes sense since our smart estimate was less than 300
10 ÷ 5= 2100 ÷ 5= 20
30 ÷ 5 = 6300 ÷ 5 = 60 0
263
1,315 ÷ 5 = 263
Dividend
Divisor Quotient
1000
2 10 160
x 5 = 1,315
1,315
÷5
÷5
÷5
÷5
300
5
2001,000 ÷ 5= 200
10 ÷5 = 2
+5
+ 10
+300= 1,000
5 ÷5 = 1
Let’s ReviewCore Lesson
There are 1,520 pencils for 10 students. How many pencils does each student get?
Smart rounding ≈ 1,500 ÷ 10
Smart estimate ≈150
1,500 divides easily by 10
Let’s ReviewCore Lesson 1,520 ÷ 10
This makes sense since our smart estimate was 150
10 ÷ 10= 1100 ÷ 10= 10
50 ÷ 10 = 5500 ÷ 10 = 50 0
152
1,520 ÷ 10 = 152
Dividend
Divisor Quotient 1,000
2 20
50
x 10 = 1,520
1,520
÷10
÷10
÷10
500
1001,000 ÷ 10= 100
20 ÷10 = 2
+0
+ 20
+500= 1,000
In this lesson you have learned how to divide
by using expanded notation.
Let’s ReviewGuided Practice
What is 1,250 ÷ 5?
Dividend
Divisor Quotient
Let’s ReviewExtension ActivitiesUse expanded notation to show the division
of 1,845 ÷ 5. Make a chart to show your work.
Sidney has 2,125 paper plates to put in 25 boxes. She estimated that she would put 100 plates in each box. Using expanded notation and a chart, show whether or not this is a good estimate.
Let’s ReviewQuick Quiz
Which of the following shows the division of 3510 ÷ 5 by using expanded notation?
0
Dividend Divisor Quotient
3000 ÷ 10 300
500 ÷ 5 100
10 ÷ 10 1
5 ÷ 5 1
3,510 +5+ 10+500= 3000
Dividend Divisor Quotient
3000 ÷ 5 600
500 ÷ 5 100
10 ÷ 5 2
5 ÷ 5 1
Dividend Divisor Quotient
3000 ÷ 10 30
500 ÷ 5 10
10 ÷ 5 2
5 ÷ 5 1
A
B
C
Let’s ReviewQuick Quiz
Sandra needs to store 2,125 paper clips seeds. Only 25 fit in each box. Which chart uses expanded notation to show how many boxes she will need?
0
Dividend
Divisor Quotient
2,000 ÷ 10 200
100 ÷ 25 4
20 ÷ 10 1
5 ÷ 25 4
2,1 2 5 +5+ 20+100= 2,000
Dividend
Divisor Quotient
2,000 ÷ 25 80
100 ÷ 25 4
20 ÷ 25 2
5 ÷ 25 5
Dividend
Divisor Quotient
2,000 ÷ 25 80
100 ÷ 25 4
20 ÷ 25 0
5 (+20) ÷ 5 1
A
B
C
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