Transcript Slide 1

Division Patterns
32 ÷ 8 = 4
320 ÷ 8 = 40
3,200 ÷ 8 = 400
32,000 ÷ 8 = 4,000
320,000 ÷ 8 = 40,000
Division Patterns
30 ÷ 5 = 6
300 ÷ 50 = 6
3,000 ÷ 500 = 6
30,000 ÷ 5,000 = 6
300,000 ÷ 50,000 = 6
1
2 3 4
1 2 3
300,000 ÷ 5,000
=
30 ÷ 5 = 6
60
1 zero in the
quotient
Step 1:
Find and solve
the basic
math fact.
Step 2:
Count the zeros outside of
the boxes in the dividend
and divisor, then subtract.
Step 4:
The difference tells
you how many zeros to
place in your quotient
1 2 3
28,000 ÷ 7 =
28
÷
7
=
4
3 zeros in the
quotient
Step 1:
Find and solve
the basic
math fact.
4,000
4000
Step 2:
Count the zeros outside of
the boxes in the dividend
and divisor, then subtract.
Step 4:
The difference tells
you how many zeros to
place in your quotient
1,200 ÷ 3 = 400
450,000 ÷ 90 = 5,000
15,000 ÷ 5,000 = 3
56,000 ÷ 80 =700
4,200,000 ÷ 7,000 = 600
Compatible Numbers
When estimating division problems,
rounding will not work very well. You
must use compatible numbers.
Compatible numbers are numbers that
contain a basic division fact…
…8,100 ÷90, 720 ÷ 8, 144,000 ÷
120
38,917 ÷ 45 =
40,000 ÷50 = 800
Step 1:
Look at the first couple
of numbers of the
dividend and the first
number of the divisor.
Step 2:
Find the closest
basic division
fact to these
numbers
Step 3:
Use the basic fact to
change the dividend and
divisor to compatible
numbers, and divide.
46,749 ÷ 93 =
45,000 ÷90 = 500
Step 1:
Look at the first couple
of numbers of the
dividend and the first
number of the divisor.
Step 2:
Find the closest
basic division
fact to these
numbers
Step 3:
Use the basic fact to
change the dividend and
divisor to compatible
numbers, and divide.
1,859 ÷ 481 =
2,000 ÷500 = 4
Step 1:
Look at the first couple
of numbers of the
dividend and the first
number of the divisor.
Step 2:
Find the closest
basic division
fact to these
numbers
Step 3:
Use the basic fact to
change the dividend and
divisor to compatible
numbers, and divide.
)
49 2,867
60
50) 3,000
Step 1:
Look at the first couple
of numbers of the
dividend and the first
number of the divisor.
Step 2:
Find the closest
basic division
fact to these
numbers
Step 3:
Use the basic fact to
change the dividend and
divisor to compatible
numbers, and divide.
26,043 ÷ 852 =
24,000 ÷800 = 30
33,842 ÷ 528 =
35,000 ÷5 00 = 70
512 ÷ 7 =
490 ÷7
= 70
274 ÷ 36 =
280 ÷4 0 = 7
)
93 46,749
500
90) 45,000