Division Charts and Tables (Free Printable PDF Math Worksheets ... - Free Printable
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Step-by-step solution for: Division Charts and Tables (Free Printable PDF Math Worksheets ...
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Show Answer Key & Explanations
Step-by-step solution for: Division Charts and Tables (Free Printable PDF Math Worksheets ...
Problem Description:
The image shows a division worksheet with 12 columns, each labeled from "ONE" to "TWELVE." Each column contains a series of division problems. The task is to solve all the division problems in the worksheet.
Solution Approach:
We will solve each division problem step by step. Division is the process of finding how many times one number (the divisor) fits into another number (the dividend). The result is called the quotient.
#### Column Labels and Corresponding Divisors:
- ONE: Divisor = 1
- TWO: Divisor = 2
- THREE: Divisor = 3
- FOUR: Divisor = 4
- FIVE: Divisor = 5
- SIX: Divisor = 6
- SEVEN: Divisor = 7
- EIGHT: Divisor = 8
- NINE: Divisor = 9
- TEN: Divisor = 10
- ELEVEN: Divisor = 11
- TWELVE: Divisor = 12
Step-by-Step Solutions:
#### Column ONE (Divisor = 1):
\[
\begin{aligned}
1 \div 1 &= 1 \\
2 \div 1 &= 2 \\
3 \div 1 &= 3 \\
4 \div 1 &= 4 \\
5 \div 1 &= 5 \\
6 \div 1 &= 6 \\
7 \div 1 &= 7 \\
8 \div 1 &= 8 \\
9 \div 1 &= 9 \\
10 \div 1 &= 10 \\
11 \div 1 &= 11 \\
12 \div 1 &= 12 \\
\end{aligned}
\]
#### Column TWO (Divisor = 2):
\[
\begin{aligned}
2 \div 2 &= 1 \\
4 \div 2 &= 2 \\
6 \div 2 &= 3 \\
8 \div 2 &= 4 \\
10 \div 2 &= 5 \\
12 \div 2 &= 6 \\
14 \div 2 &= 7 \\
16 \div 2 &= 8 \\
18 \div 2 &= 9 \\
20 \div 2 &= 10 \\
22 \div 2 &= 11 \\
24 \div 2 &= 12 \\
\end{aligned}
\]
#### Column THREE (Divisor = 3):
\[
\begin{aligned}
3 \div 3 &= 1 \\
6 \div 3 &= 2 \\
9 \div 3 &= 3 \\
12 \div 3 &= 4 \\
15 \div 3 &= 5 \\
18 \div 3 &= 6 \\
21 \div 3 &= 7 \\
24 \div 3 &= 8 \\
27 \div 3 &= 9 \\
30 \div 3 &= 10 \\
33 \div 3 &= 11 \\
36 \div 3 &= 12 \\
\end{aligned}
\]
#### Column FOUR (Divisor = 4):
\[
\begin{aligned}
4 \div 4 &= 1 \\
8 \div 4 &= 2 \\
12 \div 4 &= 3 \\
16 \div 4 &= 4 \\
20 \div 4 &= 5 \\
24 \div 4 &= 6 \\
28 \div 4 &= 7 \\
32 \div 4 &= 8 \\
36 \div 4 &= 9 \\
40 \div 4 &= 10 \\
44 \div 4 &= 11 \\
48 \div 4 &= 12 \\
\end{aligned}
\]
#### Column FIVE (Divisor = 5):
\[
\begin{aligned}
5 \div 5 &= 1 \\
10 \div 5 &= 2 \\
15 \div 5 &= 3 \\
20 \div 5 &= 4 \\
25 \div 5 &= 5 \\
30 \div 5 &= 6 \\
35 \div 5 &= 7 \\
40 \div 5 &= 8 \\
45 \div 5 &= 9 \\
50 \div 5 &= 10 \\
55 \div 5 &= 11 \\
60 \div 5 &= 12 \\
\end{aligned}
\]
#### Column SIX (Divisor = 6):
\[
\begin{aligned}
6 \div 6 &= 1 \\
12 \div 6 &= 2 \\
18 \div 6 &= 3 \\
24 \div 6 &= 4 \\
30 \div 6 &= 5 \\
36 \div 6 &= 6 \\
42 \div 6 &= 7 \\
48 \div 6 &= 8 \\
54 \div 6 &= 9 \\
60 \div 6 &= 10 \\
66 \div 6 &= 11 \\
72 \div 6 &= 12 \\
\end{aligned}
\]
#### Column SEVEN (Divisor = 7):
\[
\begin{aligned}
7 \div 7 &= 1 \\
14 \div 7 &= 2 \\
21 \div 7 &= 3 \\
28 \div 7 &= 4 \\
35 \div 7 &= 5 \\
42 \div 7 &= 6 \\
49 \div 7 &= 7 \\
56 \div 7 &= 8 \\
63 \div 7 &= 9 \\
70 \div 7 &= 10 \\
77 \div 7 &= 11 \\
84 \div 7 &= 12 \\
\end{aligned}
\]
#### Column EIGHT (Divisor = 8):
\[
\begin{aligned}
8 \div 8 &= 1 \\
16 \div 8 &= 2 \\
24 \div 8 &= 3 \\
32 \div 8 &= 4 \\
40 \div 8 &= 5 \\
48 \div 8 &= 6 \\
56 \div 8 &= 7 \\
64 \div 8 &= 8 \\
72 \div 8 &= 9 \\
80 \div 8 &= 10 \\
88 \div 8 &= 11 \\
96 \div 8 &= 12 \\
\end{aligned}
\]
#### Column NINE (Divisor = 9):
\[
\begin{aligned}
9 \div 9 &= 1 \\
18 \div 9 &= 2 \\
27 \div 9 &= 3 \\
36 \div 9 &= 4 \\
45 \div 9 &= 5 \\
54 \div 9 &= 6 \\
63 \div 9 &= 7 \\
72 \div 9 &= 8 \\
81 \div 9 &= 9 \\
90 \div 9 &= 10 \\
99 \div 9 &= 11 \\
108 \div 9 &= 12 \\
\end{aligned}
\]
#### Column TEN (Divisor = 10):
\[
\begin{aligned}
10 \div 10 &= 1 \\
20 \div 10 &= 2 \\
30 \div 10 &= 3 \\
40 \div 10 &= 4 \\
50 \div 10 &= 5 \\
60 \div 10 &= 6 \\
70 \div 10 &= 7 \\
80 \div 10 &= 8 \\
90 \div 10 &= 9 \\
100 \div 10 &= 10 \\
110 \div 10 &= 11 \\
120 \div 10 &= 12 \\
\end{aligned}
\]
#### Column ELEVEN (Divisor = 11):
\[
\begin{aligned}
11 \div 11 &= 1 \\
22 \div 11 &= 2 \\
33 \div 11 &= 3 \\
44 \div 11 &= 4 \\
55 \div 11 &= 5 \\
66 \div 11 &= 6 \\
77 \div 11 &= 7 \\
88 \div 11 &= 8 \\
99 \div 11 &= 9 \\
110 \div 11 &= 10 \\
121 \div 11 &= 11 \\
132 \div 11 &= 12 \\
\end{aligned}
\]
#### Column TWELVE (Divisor = 12):
\[
\begin{aligned}
12 \div 12 &= 1 \\
24 \div 12 &= 2 \\
36 \div 12 &= 3 \\
48 \div 12 &= 4 \\
60 \div 12 &= 5 \\
72 \div 12 &= 6 \\
84 \div 12 &= 7 \\
96 \div 12 &= 8 \\
108 \div 12 &= 9 \\
120 \div 12 &= 10 \\
132 \div 12 &= 11 \\
144 \div 12 &= 12 \\
\end{aligned}
\]
Final Answer:
\[
\boxed{
\begin{array}{c|c|c|c|c|c|c|c|c|c|c|c}
\text{ONE} & \text{TWO} & \text{THREE} & \text{FOUR} & \text{FIVE} & \text{SIX} & \text{SEVEN} & \text{EIGHT} & \text{NINE} & \text{TEN} & \text{ELEVEN} & \text{TWELVE} \\
\hline
1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 \\
2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & 2 \\
3 & 3 & 2 & 3 & 3 & 3 & 3 & 3 & 3 & 3 & 3 & 3 \\
4 & 4 & 4 & 4 & 4 & 4 & 4 & 4 & 4 & 4 & 4 & 4 \\
5 & 5 & 5 & 5 & 5 & 5 & 5 & 5 & 5 & 5 & 5 & 5 \\
6 & 6 & 6 & 6 & 6 & 6 & 6 & 6 & 6 & 6 & 6 & 6 \\
7 & 7 & 7 & 7 & 7 & 7 & 7 & 7 & 7 & 7 & 7 & 7 \\
8 & 8 & 8 & 8 & 8 & 8 & 8 & 8 & 8 & 8 & 8 & 8 \\
9 & 9 & 9 & 9 & 9 & 9 & 9 & 9 & 9 & 9 & 9 & 9 \\
10 & 10 & 10 & 10 & 10 & 10 & 10 & 10 & 10 & 10 & 10 & 10 \\
11 & 11 & 11 & 11 & 11 & 11 & 11 & 11 & 11 & 11 & 11 & 11 \\
12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 & 12 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of math division table.