Dividing Numbers is Easy Using a Division Table
Learn Multiplication first and Division is Easy.
Learning division can appear abstract and unrelated to previously learned subjects. If you find this true, learning division will likely be a difficult undertaking. What can you do to overcome the perception that division is abstract and hard to learn? After learning multiplication, division is easy to learn.
What does division have to do with multiplication?
There are three facts that form a relationship between division and multiplication:
- Division table format is the same as a multiplication table;
- The difference between a multiplication and a division table is how to interpret it;
- Multiplication is the reciprocal of division.
A Review of Multiplication Basics.
Let us review a multiplication example and later explore the relationship to division. Using a multiplication table, multiply three times five and get an answer fifteen: 3 x 5 = 15. The intersection of row three and column five of a multiplication table is fifteen; fifteen is the answer. What is the relationship of division to multiplication? To understand this relationship, use the same multiplication table for division.
Use this Division and Multiplication Table as a Reference.
Show Relationship of Multiplication and Division Tables.
Using this same multiplication problem, 3 x 5 = 15, but alter it to be a division problem. What is fifteen divided by three? What number multiplied by three equals fifteen? We know from the multiplication problem the answer is five. That means fifteen divided by three equals five:15 ÷ 3 = 5. From this example, we see that a multiplication table has the same format as a division table but used differently. After solving a division problem, check the answer by multiplication. After learning multiplication and understanding the relationship to division, division will be more intuitive and easier to learn.
Where do we begin learning division?
- First, get familiar with the table.
- Start with division by one. Find the number one in the table. Divide it by row number one. The answer is column number one.
- Repeat these steps for division by one. Divide row one by columns one through twelve. The answers will be 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12 respectively.
- Repeat these steps for division by two. Divide row two by columns one through twelve.
- Repeat these steps for division by four. Divide row four by columns one through twelve.
- If you are comfortable with division so far, try a test. Solve the following division problems in your head and then compare your answers to the division table: six divided by two, fifteen divided by three, twenty-seven divided by 9, sixteen divided four, and seven divided by one. The problem answers are 3, 5, 3, 4, and 7 respectively.
If you got four out of five problems correct, create your own division tests. Calculate the answer in your head, and check the answer using multiplication. Lastly, check your answer using the division table.