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The ideas in this division lesson are taken from Division 1 ebook. Only a few examples of each problem type are shown; you should make more problems of each kind for the student. Zero and one in division
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From the multiplication fact 1 × 7 = 7 we get two division facts:
From the multiplication fact 0 × 7 = 0 we get two division facts:
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Dividing by ZERO does not make sense. Think about these:
If there are zero people, then there is no sense in talking how many
bananas they might get. |
Example problems
1. Do the divisions but cross out all the problems that are impossible. You can think about dividing bananas between certain number of people to help you.
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4 ÷ 1 = 4 ÷ 0 = 0 ÷ 1 = 0 ÷ 4 = |
14 ÷ 14 = 14 ÷ 0 = 0 ÷ 14 = 14 ÷ 1 = |
0 ÷ 5 = 10 ÷ 10 = 10 ÷ 0 = 10 ÷ 1 = |
2. Remember how zero and one work in multiplication?
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Multiplication is REPEATED ADDITION:
Therefore,
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3. For each division, make a multiplication sentence if possible. Some
divisions are not possible!
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6 ÷ 1 = __ ÷ __ = |
42 ÷ 7 = __ ÷ __ = |
0 ÷ 7 = __ ÷ __ = |
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81 ÷ 9 = __ ÷ __ = |
0 ÷ 0 = __ ÷ __ = |
6 ÷ 6 = __ ÷ __ = |
4. For each multiplication, make a division sentence if possible.
Some divisions are not possible!
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6 × 1 = __ __ ÷ __ = __ |
0 × 8 = __ __ ÷ __ = __ |
6 × 8 = __ __ ÷ __ = __ |
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10 × 11 = __ __ ÷ __ = __ |
1 × 1 = __ __ ÷ __ = __ |
9 × 0 = __ __ ÷ __ = __ |
5. Write a division OR multiplication sentence for each word problem.
| a) Grandma's chickens laid one day 60
eggs. She
divided them into 12-egg cartons. How many cartons did she get?
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b) Each mini-van taxi can hold 7 passengers and there are 6 taxis waiting on the airport. How many passengers can they take?
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| i) Six children earned 36 dollars by doing
yard work together. They divide the money equally. How much does each one get?
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j). Kathy needs to read a 27-page booklet. She plans to finish it in three days. If she reads the same amount each day, how many pages will she read each day? What happens if she instead plans to finish it within a week? |
6. Fill the multiplication facts from the table of 7 and a corresponding division fact for each. Do the same for table of 6.
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(and if you have forgotten ANY other multiplication table, do this same exercise
for that table.)
Next lesson: when division is not exact/remainder in division
The fast, FUN, and easy way to learn multiplication. Learn the upper times tales in two sittings using mnemonic stories.
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Copyright 2003-2012 Maria Miller
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