ExpertChild Divide 35 into 2 equal groups? So, 35 ÷ 2 = ____

EC
D3-6: Review of Division Concepts
ExpertChild
Name:
Date:
Start Time:
Grade:
Number of mistakes:
[1]
:
A+
0
End Time:
A
1
B
2-3
C
4-6
:
D
7+
Divide 35 into 2 equal groups?
Step 1: Show 35 as 3 tens and 5 ones.
Draw 2 boxes for 2 equal groups.
Record:
2 35
Step 2: Place an equal number of tens in each group.
1 ten in each group
2 35
−
2 tens used
1 ten left
Step 3: Regroup the remaining tens and ones. So, regroup 1 ten and 5 ones as 15
ones. Place an equal number of ones in each group.
R
2 35
−
−
7 ones in each group
14 ones used
1 one left
remainder
So, 35 ÷ 2 = ____ R ___
Copyright  2005 by ExpertChild Institute of Education.
1
EC
[1]
ExpertChild
D3-6: Review of Division Concepts
85 ÷ 6 = ____ R ___
Step 1: 85 = 8 tens + 5 ones
Divide the tens: 8 ÷ 6 = 1 R2
Step 2: Bring down the 5 ones.
Divide the ones: 25 ÷ 6 = 4 R1
R
Write 1 in tens place
6 85
−
Multiply: 6 × 1 = 6
Write 4 in ones place
6 85
−
Subtract: 8 – 6 = 2
Multiply: 6 × 4 = 24
−
Subtract: 25 – 24 = 1
The difference, 2, should be less than
the divisor, 6.
[2]
The difference, 1, should be less than
the divisor, 6.
87 ÷ 8 = ____ R ___
Step 1: 87 = 8 tens + 7 ones
Divide the tens: 8 ÷ 8 = 1 R0
Step 2: Bring down the 7 ones.
Divide the ones: 7 ÷ 8 = 0 R7
R
Write 1 in tens place
8 87
−
Multiply: 8 × 1 = 8
Write 0 in ones place
8 87
−
Subtract: 8 – 8 = 0
−
Multiply: 8 × 0 = 0
Subtract: 7 – 0 = 7
The difference, 0, should be less than
the divisor, 8.
The difference, 7, should be less than
the divisor, 8.
Copyright  2005 by ExpertChild Institute of Education.
2
EC
D3-6: Review of Division Concepts
ExpertChild
Math Concept
The result of division is correct, if
(quotient × divisor) + remainder = dividend.
Find the quotient and the remainder. Use equivalent multiplication sentence
to check your answer. Circle “Yes” for correct answer and “No” for incorrect answer.
[1]
17 ÷ 3 = ___ R ___
Check
Divide
divisor
5
quotient
3 17
– 15
2
dividend
remainder
So, 17 ÷ 3 = 5 R 2
5
×3
15
+ 2
17
quotient
divisor
remainder
dividend
Equivalent multiplication
sentence:
(5 × 3) + 2 = 17
[2]
19 ÷ 2 = ___ R ___
Yes
No
Multiplication sentence: _______________
[3]
25 ÷ 7 = ___ R ___
Yes
No
Multiplication sentence: _______________
Copyright  2005 by ExpertChild Institute of Education.
3
EC
D3-6: Review of Division Concepts
ExpertChild
Math Concept
Zero divided by any number except 0 is zero.
We cannot divide zero by zero.
Find the quotient.
[1]
0 ÷ 5 = ____
[3]
0 ÷ 17 = ____
[2]
0 ÷ 13 = ____
[4]
0 ÷ 9 = ____
Math Concept
As the number of zeros in the dividend increases, the
number of zeros in the quotient also increases.
Find the quotient.
[5]
2100 ÷ 3 = ____
(think: 21 ÷ 3 = 7)
dividend
divisor
quotient
21
÷
3
=
7
one zero
210
÷
3
=
____
one zero
two zeros
2100 ÷
3
=
____
two zeros
[6]
240 ÷ 6 = ____
[9]
350 ÷ 7 = ____
[7]
480 ÷ 8 = ____
[10]
280 ÷ 4 = ____
[8]
600 ÷ 2 = ____
[11]
900 ÷ 9 = ____
Copyright  2005 by ExpertChild Institute of Education.
4
EC
ExpertChild
D3-6: Review of Division Concepts
Math Concept
If we divide a number by 10,
• the quotient is the number formed by removing the
digit in ones place
• the remainder is the digit in the ones place
For example,
67 ÷ 10 = 6 R 7
346 ÷ 10 = 34 R 6
Find the quotient and the remainder.
[1]
38 ÷ 10 = 3 R 8
quotient = 3, the number without the digit in ones place
remainder = 8, the number in the ones place
[2]
165 ÷ 10 = 16 R 5
quotient = 16, the number without the digit in ones place
remainder = 5, the number in the ones place
[3]
43 ÷ 10 = ___ R __
[8]
61 ÷ 10 = ___ R __
[4]
24 ÷ 10 = ___ R __
[9]
90 ÷ 10 = ___ R __
[5]
75 ÷ 10 = ___ R __
[10]
54 ÷ 10 = ___ R __
[6]
134 ÷ 10 = ___ R __
[11]
200 ÷ 10 = ___ R __
[7]
15 ÷ 10 = ___ R __
[12]
86 ÷ 10 = ___ R __
Copyright  2005 by ExpertChild Institute of Education.
5
EC
ExpertChild
D3-6: Review of Division Concepts
Solve the following problems.
[1]
0 ÷ 2 = ____
[6]
0 ÷ 21 = ____
[2]
0 ÷ 17 = ____
[7]
0 ÷ 39 = ____
[3]
450 ÷ 5 = ____
[8]
360 ÷ 6 = ____
[4]
320 ÷ 4 = ____
[9]
480 ÷ 8 = ____
[5]
20 ÷ 1 = ____
[10]
600 ÷ 3 = ____
[11]
52 ÷ 10 = ___ R __
[16]
90 ÷ 10 = ___ R __
[12]
34 ÷ 10 = ___ R __
[17]
230 ÷ 10 = ___ R __
[13]
139 ÷ 10 = ___ R __
[18]
75 ÷ 10 = ___ R __
[14]
74 ÷ 10 = ___ R __
[19]
58 ÷ 10 = ___ R __
[15]
22 ÷ 10 = ___ R __
[20]
65 ÷ 10 = ___ R __
Copyright  2005 by ExpertChild Institute of Education.
6
EC
D3-6: Review of Division Concepts
ExpertChild
Algebra
(Divisibility Rules)
Number
1
2
5
10
Divisibility Rule
Every whole number is divisible by 1
The last digit must be even
The last digit must be 5 or 0
The last digit must be 0
Find whether the number is divisible by 1, 2, 5, or 10.
Circle your answers.
[1]
80
1
2
5
10
[2]
125
1
2
5
10
[3]
79
1
2
5
10
Circle “True” or “False” for each sentence.
[4]
All even numbers are divisible by 2.
True
False
[5]
All numbers divisible by 10 are
also divisible by 5.
True
False
[6]
All numbers divisible by 5 are also
divisible by 10.
True
False
[7]
A number with 0 as the last digit is
divisible by 5.
True
False
[8]
A number divisible by 2 is also
divisible by 5.
True
False
Copyright  2005 by ExpertChild Institute of Education.
7
EC
ExpertChild
D3-6: Review of Division Concepts
Word Problems
(Multi-Step Problem)
[1]
A coffee shop charges 2 dollars for each cup of coffee. The
shop sold 65 cups on Saturday and 87 cups on Sunday.
How much money did the shop get in these two days?
Answer: ____ _________
(unit)
[2]
Mr. Smith had 30 crayons. He bought 15 more crayons from
the store. He distributed all the crayons equally among
several kids. If each kid got 5 crayons, how many kids were
there?
Answer: ____ _________
(unit)
[3]
Grade-2 students practice for their winter concert from 3:00
P.M. to 5:00 P.M. three times a week. For how many hours
do they practice in 6 weeks?
Answer: ____ _________
(unit)
Copyright  2005 by ExpertChild Institute of Education.
8