5-3 Dividing by One-Digit Divisors

mralfonso 2,565 views 117 slides Oct 04, 2010
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About This Presentation

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Size: 43.87 MB
Language: en
Added: Oct 04, 2010
Slides: 117 pages

Slide Content

5-3 Dividing by
One-Digit Divisor
Math Notes
Number Sense 2.2

What you’re learning today...
Number Sense 2.2 - Demonstrate proficiency
with division ... including long division with
multi-digit divisors.

What you’re learning today...
Number Sense 2.2 - Demonstrate proficiency
with division ... including long division with
multi-digit divisors.
98
1
8
1
r1

What you’re learning today...
Number Sense 2.2 - Demonstrate proficiency
with division ... including long division with
multi-digit divisors.
98
1
8
1
r1
WHAT YOU’VE
LEARNED ALREADY

What you’re learning today...
Number Sense 2.2 - Demonstrate proficiency
with division ... including long division with
multi-digit divisors.
98
1
8
1
r1
WHAT YOU’VE
LEARNED ALREADY
WHAT YOU’RE
LEARNING TO DO TODAY

What you’re learning today...
Number Sense 2.2 - Demonstrate proficiency
with division ... including long division with
multi-digit divisors.
98
1
8
1
r1
WHAT YOU’VE
LEARNED ALREADY
WHAT YOU’RE
LEARNING TO DO TODAY
9838

What you’re learning today...
Number Sense 2.2 - Demonstrate proficiency
with division ... including long division with
multi-digit divisors.
98
1
8
1
r1
WHAT YOU’VE
LEARNED ALREADY
WHAT YOU’RE
LEARNING TO DO TODAY
9838

Long Division Mnemonic

Long Division Mnemonic
DAD

Long Division Mnemonic
DAD
MOM

Long Division Mnemonic
DAD
MOM
SISTER

Long Division Mnemonic
DAD
MOM
SISTER
BROTHER

Long Division Mnemonic
DAD
MOM
SISTER
BROTHER
ROVER

Long Division Mnemonic
DAD
MOM
SISTER
BROTHER
ROVER
DIVIDE

Long Division Mnemonic
DAD
MOM
SISTER
BROTHER
ROVER
DIVIDE
MULTIPLY

Long Division Mnemonic
DAD
MOM
SISTER
BROTHER
ROVER
DIVIDE
MULTIPLY
SUBTRACT

Long Division Mnemonic
DAD
MOM
SISTER
BROTHER
ROVER
DIVIDE
MULTIPLY
SUBTRACT
BRING DOWN

Long Division Mnemonic
DAD
MOM
SISTER
BROTHER
ROVER
DIVIDE
MULTIPLY
SUBTRACT
BRING DOWN
REPEAT OR
REMAINDER

DAD
MOM
SISTER
BROTHER
ROVER

DAD
MOM
SISTER
BROTHER
ROVER

DAD
MOM
SISTER
BROTHER
ROVER
96

DAD
MOM
SISTER
BROTHER
ROVER
968

DAD
MOM
SISTER
BROTHER
ROVER
968
STEP 0: Use
guidelines

DAD
MOM
SISTER
BROTHER
ROVER
968
STEP 0: Use
guidelines

DAD
MOM
SISTER
BROTHER
ROVER
968
STEP 0: Use
guidelines
STEP 1: DIVIDE
9 by 8

DAD
MOM
SISTER
BROTHER
ROVER
968
1
STEP 0: Use
guidelines
STEP 1: DIVIDE
9 by 8

DAD
MOM
SISTER
BROTHER
ROVER
968
1
STEP 0: Use
guidelines
STEP 1: DIVIDE
9 by 8
STEP 2:
MULTIPLY
8 by 1

DAD
MOM
SISTER
BROTHER
ROVER
968
1
8
STEP 0: Use
guidelines
STEP 1: DIVIDE
9 by 8
STEP 2:
MULTIPLY
8 by 1

DAD
MOM
SISTER
BROTHER
ROVER
968
1
8
STEP 0: Use
guidelines
STEP 1: DIVIDE
9 by 8
STEP 2:
MULTIPLY
8 by 1
STEP 3:
SUBTRACT 9 - 8

DAD
MOM
SISTER
BROTHER
ROVER
968
1
8
1
STEP 0: Use
guidelines
STEP 1: DIVIDE
9 by 8
STEP 2:
MULTIPLY
8 by 1
STEP 3:
SUBTRACT 9 - 8

DAD
MOM
SISTER
BROTHER
ROVER
968
1
8
1
STEP 0: Use
guidelines
STEP 1: DIVIDE
9 by 8
STEP 2:
MULTIPLY
8 by 1
STEP 3:
SUBTRACT 9 - 8
STEP 4:
BRING DOWN the 6

DAD
MOM
SISTER
BROTHER
ROVER
968
1
8
1
STEP 0: Use
guidelines
STEP 1: DIVIDE
9 by 8
STEP 2:
MULTIPLY
8 by 1
STEP 3:
SUBTRACT 9 - 8
STEP 4:
BRING DOWN the 6
6

DAD
MOM
SISTER
BROTHER
ROVER
968
1
8
1
STEP 0: Use
guidelines
STEP 1: DIVIDE
9 by 8
STEP 2:
MULTIPLY
8 by 1
STEP 3:
SUBTRACT 9 - 8
STEP 4:
BRING DOWN the 6
6
STEP 5:
REPEAT or
REMAINDER

DAD
MOM
SISTER
BROTHER
ROVER
968
1
8
1
STEP 0: Use
guidelines
STEP 1: DIVIDE
9 by 8
STEP 2:
MULTIPLY
8 by 1
STEP 3:
SUBTRACT 9 - 8
STEP 4:
BRING DOWN the 6
6
STEP 5:
REPEAT or
REMAINDER

DAD
MOM
SISTER
BROTHER
ROVER
968
1
8
1 6

DAD
MOM
SISTER
BROTHER
ROVER
968
1
8
1 6
STEP 1: DIVIDE
16 by 8

DAD
MOM
SISTER
BROTHER
ROVER
968
1
8
1 6
STEP 1: DIVIDE
16 by 82

DAD
MOM
SISTER
BROTHER
ROVER
968
1
8
1 6
STEP 1: DIVIDE
16 by 8
STEP 2:
MULTIPLY
8 by 2
2

DAD
MOM
SISTER
BROTHER
ROVER
968
1
8
1 6
STEP 1: DIVIDE
16 by 8
STEP 2:
MULTIPLY
8 by 2
2
16

DAD
MOM
SISTER
BROTHER
ROVER
968
1
8
1 6
STEP 1: DIVIDE
16 by 8
STEP 2:
MULTIPLY
8 by 2
2
STEP 3:
SUBTRACT
16 - 16
16

DAD
MOM
SISTER
BROTHER
ROVER
968
1
8
1 6
STEP 1: DIVIDE
16 by 8
STEP 2:
MULTIPLY
8 by 2
2
STEP 3:
SUBTRACT
16 - 16
16
00

DAD
MOM
SISTER
BROTHER
ROVER
968
1
8
1 6
STEP 1: DIVIDE
16 by 8
STEP 2:
MULTIPLY
8 by 2
2
STEP 3:
SUBTRACT
16 - 16
STEP 4:
Nothing to
BRING DOWN
16
00

DAD
MOM
SISTER
BROTHER
ROVER
968
1
8
1 6
STEP 1: DIVIDE
16 by 8
STEP 2:
MULTIPLY
8 by 2
2
STEP 3:
SUBTRACT
16 - 16
STEP 4:
Nothing to
BRING DOWN
16
STEP 5:
REPEAT or
REMAINDER
00

DAD
MOM
SISTER
BROTHER
ROVER
968
1
8
1 6
STEP 1: DIVIDE
16 by 8
STEP 2:
MULTIPLY
8 by 2
2
STEP 3:
SUBTRACT
16 - 16
STEP 4:
Nothing to
BRING DOWN
16
STEP 5:
REPEAT or
REMAINDER
00

DAD
MOM
SISTER
BROTHER
ROVER
968
1
8
1 6
STEP 1: DIVIDE
16 by 8
STEP 2:
MULTIPLY
8 by 2
2
STEP 3:
SUBTRACT
16 - 16
STEP 4:
Nothing to
BRING DOWN
16
STEP 5:
REPEAT or
REMAINDER
00
NO REMAINDER

Check By Multiplying
8
12
x

Check By Multiplying
8
12
x

Check By Multiplying
8
12
x
6

Check By Multiplying
8
12
x
6
1

Check By Multiplying
8
12
x
6
1

Check By Multiplying
8
12
x
6 9
1

DAD
MOM
SISTER
BROTHER
ROVER

DAD
MOM
SISTER
BROTHER
ROVER

DAD
MOM
SISTER
BROTHER
ROVER
230

DAD
MOM
SISTER
BROTHER
ROVER
2308

DAD
MOM
SISTER
BROTHER
ROVER
2308
STEP 0: Use
guidelines

DAD
MOM
SISTER
BROTHER
ROVER
2308
STEP 0: Use
guidelines

DAD
MOM
SISTER
BROTHER
ROVER
2308
STEP 0: Use
guidelines
STEP 1: Because 8
cannot go into 2,
DIVIDE 23 by 8

DAD
MOM
SISTER
BROTHER
ROVER
2308
2
STEP 0: Use
guidelines
STEP 1: Because 8
cannot go into 2,
DIVIDE 23 by 8

DAD
MOM
SISTER
BROTHER
ROVER
2308
2
STEP 0: Use
guidelines
STEP 1: Because 8
cannot go into 2,
DIVIDE 23 by 8
STEP 2:
MULTIPLY
8 by 2

DAD
MOM
SISTER
BROTHER
ROVER
2308
2
16
STEP 0: Use
guidelines
STEP 1: Because 8
cannot go into 2,
DIVIDE 23 by 8
STEP 2:
MULTIPLY
8 by 2

DAD
MOM
SISTER
BROTHER
ROVER
2308
2
16
STEP 0: Use
guidelines
STEP 1: Because 8
cannot go into 2,
DIVIDE 23 by 8
STEP 2:
MULTIPLY
8 by 2
STEP 3:
SUBTRACT 23 - 16

DAD
MOM
SISTER
BROTHER
ROVER
2308
2
16
7
STEP 0: Use
guidelines
STEP 1: Because 8
cannot go into 2,
DIVIDE 23 by 8
STEP 2:
MULTIPLY
8 by 2
STEP 3:
SUBTRACT 23 - 16

DAD
MOM
SISTER
BROTHER
ROVER
2308
2
16
7
STEP 0: Use
guidelines
STEP 1: Because 8
cannot go into 2,
DIVIDE 23 by 8
STEP 2:
MULTIPLY
8 by 2
STEP 3:
SUBTRACT 23 - 16
STEP 4:
BRING DOWN the 0

DAD
MOM
SISTER
BROTHER
ROVER
2308
2
16
7
STEP 0: Use
guidelines
STEP 1: Because 8
cannot go into 2,
DIVIDE 23 by 8
STEP 2:
MULTIPLY
8 by 2
STEP 3:
SUBTRACT 23 - 16
STEP 4:
BRING DOWN the 0
0

DAD
MOM
SISTER
BROTHER
ROVER
2308
2
16
7
STEP 0: Use
guidelines
STEP 1: Because 8
cannot go into 2,
DIVIDE 23 by 8
STEP 2:
MULTIPLY
8 by 2
STEP 3:
SUBTRACT 23 - 16
STEP 4:
BRING DOWN the 0
0
STEP 5:
REPEAT or
REMAINDER

DAD
MOM
SISTER
BROTHER
ROVER
2308
2
16
7
STEP 0: Use
guidelines
STEP 1: Because 8
cannot go into 2,
DIVIDE 23 by 8
STEP 2:
MULTIPLY
8 by 2
STEP 3:
SUBTRACT 23 - 16
STEP 4:
BRING DOWN the 0
0
STEP 5:
REPEAT or
REMAINDER

DAD
MOM
SISTER
BROTHER
ROVER
2308
2
16
7 0

DAD
MOM
SISTER
BROTHER
ROVER
2308
2
16
7 0
STEP 1: DIVIDE
70 by 8

DAD
MOM
SISTER
BROTHER
ROVER
2308
2
16
7 0
STEP 1: DIVIDE
70 by 88

DAD
MOM
SISTER
BROTHER
ROVER
2308
2
16
7 0
STEP 1: DIVIDE
70 by 8
STEP 2:
MULTIPLY
8 by 8
8

DAD
MOM
SISTER
BROTHER
ROVER
2308
2
16
7 0
STEP 1: DIVIDE
70 by 8
STEP 2:
MULTIPLY
8 by 8
8
64

DAD
MOM
SISTER
BROTHER
ROVER
2308
2
16
7 0
STEP 1: DIVIDE
70 by 8
STEP 2:
MULTIPLY
8 by 8
8
STEP 3:
SUBTRACT
70 - 64
64

DAD
MOM
SISTER
BROTHER
ROVER
2308
2
16
7 0
STEP 1: DIVIDE
70 by 8
STEP 2:
MULTIPLY
8 by 8
8
STEP 3:
SUBTRACT
70 - 64
64
06

DAD
MOM
SISTER
BROTHER
ROVER
2308
2
16
7 0
STEP 1: DIVIDE
70 by 8
STEP 2:
MULTIPLY
8 by 8
8
STEP 3:
SUBTRACT
70 - 64
STEP 4:
Nothing to
BRING DOWN
64
06

DAD
MOM
SISTER
BROTHER
ROVER
2308
2
16
7 0
STEP 1: DIVIDE
70 by 8
STEP 2:
MULTIPLY
8 by 8
8
STEP 3:
SUBTRACT
70 - 64
STEP 4:
Nothing to
BRING DOWN
64
STEP 5:
REPEAT or
REMAINDER
06

DAD
MOM
SISTER
BROTHER
ROVER
2308
2
16
7 0
STEP 1: DIVIDE
70 by 8
STEP 2:
MULTIPLY
8 by 8
8
STEP 3:
SUBTRACT
70 - 64
STEP 4:
Nothing to
BRING DOWN
64
STEP 5:
REPEAT or
REMAINDER
06
r6

Check By Multiplying
8
28
x

Check By Multiplying
8
28
x

Check By Multiplying
8
28
x
4
6

Check By Multiplying
8
28
x
4
6

Check By Multiplying
8
28
x
4 22
6

Check By Multiplying
8
28
x
4 22
6
6

Check By Multiplying
8
28
x
4 22
6
+6

Check By Multiplying
8
28
x
4 22
6
+6
230

DAD
MOM
SISTER
BROTHER
ROVER

DAD
MOM
SISTER
BROTHER
ROVER

DAD
MOM
SISTER
BROTHER
ROVER
1810

DAD
MOM
SISTER
BROTHER
ROVER
18109

DAD
MOM
SISTER
BROTHER
ROVER
18109
STEP 0: Use
guidelines

DAD
MOM
SISTER
BROTHER
ROVER
18109
STEP 0: Use
guidelines

DAD
MOM
SISTER
BROTHER
ROVER
18109
STEP 0: Use
guidelines
STEP 1: Because 9
cannot go into 1,
DIVIDE 18 by 9

DAD
MOM
SISTER
BROTHER
ROVER
18109
2 STEP 0: Use
guidelines
STEP 1: Because 9
cannot go into 1,
DIVIDE 18 by 9

DAD
MOM
SISTER
BROTHER
ROVER
18109
2 STEP 0: Use
guidelines
STEP 1: Because 9
cannot go into 1,
DIVIDE 18 by 9
STEP 2:
MULTIPLY
9 by 2

DAD
MOM
SISTER
BROTHER
ROVER
18109
2
18
STEP 0: Use
guidelines
STEP 1: Because 9
cannot go into 1,
DIVIDE 18 by 9
STEP 2:
MULTIPLY
9 by 2

DAD
MOM
SISTER
BROTHER
ROVER
18109
2
18
STEP 0: Use
guidelines
STEP 1: Because 9
cannot go into 1,
DIVIDE 18 by 9
STEP 2:
MULTIPLY
9 by 2
STEP 3:
SUBTRACT 18 - 18

DAD
MOM
SISTER
BROTHER
ROVER
18109
2
18
0
STEP 0: Use
guidelines
STEP 1: Because 9
cannot go into 1,
DIVIDE 18 by 9
STEP 2:
MULTIPLY
9 by 2
STEP 3:
SUBTRACT 18 - 18

DAD
MOM
SISTER
BROTHER
ROVER
18109
2
18
0
STEP 0: Use
guidelines
STEP 1: Because 9
cannot go into 1,
DIVIDE 18 by 9
STEP 2:
MULTIPLY
9 by 2
STEP 3:
SUBTRACT 18 - 18
STEP 4:
BRING DOWN the 1

DAD
MOM
SISTER
BROTHER
ROVER
18109
2
18
0
STEP 0: Use
guidelines
STEP 1: Because 9
cannot go into 1,
DIVIDE 18 by 9
STEP 2:
MULTIPLY
9 by 2
STEP 3:
SUBTRACT 18 - 18
STEP 4:
BRING DOWN the 1
1

DAD
MOM
SISTER
BROTHER
ROVER
18109
2
18
0
STEP 0: Use
guidelines
STEP 1: Because 9
cannot go into 1,
DIVIDE 18 by 9
STEP 2:
MULTIPLY
9 by 2
STEP 3:
SUBTRACT 18 - 18
STEP 4:
BRING DOWN the 1
1
STEP 4a:
Since 9 cannot go into 1, place
0 in the quotient. Bring down 0

DAD
MOM
SISTER
BROTHER
ROVER
18109
2
18
0
STEP 0: Use
guidelines
STEP 1: Because 9
cannot go into 1,
DIVIDE 18 by 9
STEP 2:
MULTIPLY
9 by 2
STEP 3:
SUBTRACT 18 - 18
STEP 4:
BRING DOWN the 1
1
0
STEP 4a:
Since 9 cannot go into 1, place
0 in the quotient. Bring down 0

DAD
MOM
SISTER
BROTHER
ROVER
18109
2
18
0
STEP 0: Use
guidelines
STEP 1: Because 9
cannot go into 1,
DIVIDE 18 by 9
STEP 2:
MULTIPLY
9 by 2
STEP 3:
SUBTRACT 18 - 18
STEP 4:
BRING DOWN the 1
1
0
0
STEP 4a:
Since 9 cannot go into 1, place
0 in the quotient. Bring down 0

DAD
MOM
SISTER
BROTHER
ROVER
18109
2
18
0
STEP 0: Use
guidelines
STEP 1: Because 9
cannot go into 1,
DIVIDE 18 by 9
STEP 2:
MULTIPLY
9 by 2
STEP 3:
SUBTRACT 18 - 18
STEP 4:
BRING DOWN the 1
1
STEP 5:
REPEAT or
REMAINDER
0
0
STEP 4a:
Since 9 cannot go into 1, place
0 in the quotient. Bring down 0

DAD
MOM
SISTER
BROTHER
ROVER
18109
2
18
0
STEP 0: Use
guidelines
STEP 1: Because 9
cannot go into 1,
DIVIDE 18 by 9
STEP 2:
MULTIPLY
9 by 2
STEP 3:
SUBTRACT 18 - 18
STEP 4:
BRING DOWN the 1
1
STEP 5:
REPEAT or
REMAINDER
0
0
STEP 4a:
Since 9 cannot go into 1, place
0 in the quotient. Bring down 0

DAD
MOM
SISTER
BROTHER
ROVER
18109
2
18
0 1
0
0

DAD
MOM
SISTER
BROTHER
ROVER
18109
2
18
0 1
STEP 1: DIVIDE
10 by 9
0
0

DAD
MOM
SISTER
BROTHER
ROVER
18109
2
18
0 1
STEP 1: DIVIDE
10 by 9
0
0
1

DAD
MOM
SISTER
BROTHER
ROVER
18109
2
18
0 1
STEP 1: DIVIDE
10 by 9
STEP 2:
MULTIPLY
9 by 1
0
9
0
1

DAD
MOM
SISTER
BROTHER
ROVER
18109
2
18
0 1
STEP 1: DIVIDE
10 by 9
STEP 2:
MULTIPLY
9 by 1
0
STEP 3:
SUBTRACT
10 - 9
9
0
1

DAD
MOM
SISTER
BROTHER
ROVER
18109
2
18
0 1
STEP 1: DIVIDE
10 by 9
STEP 2:
MULTIPLY
9 by 1
0
STEP 3:
SUBTRACT
10 - 9
9
1
0
1

DAD
MOM
SISTER
BROTHER
ROVER
18109
2
18
0 1
STEP 1: DIVIDE
10 by 9
STEP 2:
MULTIPLY
9 by 1
0
STEP 3:
SUBTRACT
10 - 9
STEP 4:
Nothing to
BRING DOWN
9
1
0
1

DAD
MOM
SISTER
BROTHER
ROVER
18109
2
18
0 1
STEP 1: DIVIDE
10 by 9
STEP 2:
MULTIPLY
9 by 1
0
STEP 3:
SUBTRACT
10 - 9
STEP 4:
Nothing to
BRING DOWN
9
STEP 5:
REPEAT or
REMAINDER
1
0
1

DAD
MOM
SISTER
BROTHER
ROVER
18109
2
18
0 1
STEP 1: DIVIDE
10 by 9
STEP 2:
MULTIPLY
9 by 1
0
STEP 3:
SUBTRACT
10 - 9
STEP 4:
Nothing to
BRING DOWN
9
STEP 5:
REPEAT or
REMAINDER
1
r1
0
1

Check By Multiplying
9
201
x

Check By Multiplying
9
201
x

Check By Multiplying
9
201
x
9

Check By Multiplying
9
201
x
9

Check By Multiplying
9
201
x
9 0

Check By Multiplying
9
201
x
9 0

Check By Multiplying
9
201
x
9 0 18

Check By Multiplying
9
201
x
9 0
+1
18

Check By Multiplying
9
201
x
9 0
+1
1810
18
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