3.3.5 Performing Multiplication and Division

Activity symbol Activity: Multiplication and Division

In your math notebook, perform the following operations by hand.

(a) 348 multiplication 37

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Discussion

For multiplication, begin by writing the problem vertically and lining up the digits in the units place. For division, set the problem up using multiline equation line 1 for the division symbol.

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Answer

(a) multiline equation line 1 348 line 2 separator multiplication 37 macron line 3 2436 line 4 plus plus 10440 macron line 5 12876

Thus, the answer is 12,876. (This seems reasonable since 300 multiplication 40 equals 12000.)

(b) 560 times normal x times 23

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Answer

(b) multiline equation line 1 560 line 2 separator multiplication 23 macron line 3 1680 line 4 plus plus 11200 macron line 5 12880

Thus, the answer is 12,880. (This seems reasonable since600 times normal x times 20 equals 12000.)

(c) 4968 division 24

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Answer

(c) multiline equation line 1 24 times multiline equation line 1 207 line 2 4968 line 2 zero width space zero width space zero width space zero width space zero width space zero width space zero width space separator minus minus 48 low line line 3 16 line 4 separator minus zero low line line 5 168 line 6 minus minus 168 low line line 7 zero

So the solution is 207. (This seems reasonable because 5000 division 25 equals 200.)

(d) 4035 division 15

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Answer

(d) multiline equation line 1 269 line 2 15 times 4035 line 3 minus 30 macron line 4 prefix plus of 103 line 5 minus 90 macron line 6 135 macron line 7 minus 135 macron line 8 zero

So the solution is 269.

Videoclip symbolIf you feel like you might need some extra practice with long division, check out this video. You will be taken through two examples step by step.

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3.3.4 Relationships Among Operations

3.3.6 Multiplication and Division Strategies