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Assessment on Multiplying Rational Numbers

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To assess students' knowledge about the topic.

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Philippines

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Assessment on Multiplying Rational Numbers
 

Assessment on Multiplying Rational NumbersOnline version

To assess students' knowledge about the topic.

by LORRAINE DEE BAGUIO
1

What is the product of 3/4 x 5/9?

2

Find the product: 7/10 x 5/14

3

A container holds 4/5 liter of juice. Lea drinks 3/8 of it. How much juice does she drink?

Written answer

4

What is 5/12 x 9/10?

5

A student completes 7/8 of a task. She finishes 2/7 of that completed part today. What fraction of the whole task does she finish today?

Written answer

6

Find: -5/8 x 4/15

7

A temperature decreases by 4/9 degree Celsius each hour for 3/4 hour. What is the change in temperature?

8

Find: 5/9 x -3/10

9

What is -7/12 x -6/7?

Written answer

10

A diver's position changes by -5/6 meter for each unit of movement. If the movement is 2/5 unit, what is the change in position?

Written answer

11

What is 2 1/3 x 3/7?

Written answer

12

Find: 1 3/4 x 2/7

13

What is 2 1/5 x 1 1/2?

14

A piece of cloth is 5/12 meters long. A tailor needs 2/25 times this length. How much cloth is needed?

Written answer

15

A farmer harvests 2 2/3 baskets of vegetables per day. How many baskets will be harvested in 1 1/2 days?

16

Find: -2 1/4 x 1 1/3

17

What is -1 3/5 x -2 1/2?

18

Find: 2 2/5 x -1 1/4

19

A submarine changes its position by -2 1/4 meters per unit of movement. It moves 1 1/3 units. What is its change in position?

Written answer

20

A temperature change of -1 3/4 degree Celsius occurs during each time interval. The change is multiplied by -2 2/7. What is the result?

Written answer

Feedback

5/12 Multiply the numerators and denominators and remember to simplify the product.

1/4 Multiply and cancel common factors to simplify.

Multiply and always simplify your answer.

You can use cross-cancellation. The 7s can be canceled before multiplying.

First determine the sign: negative × positive = negative. Then multiply.

Remember: negative × negative = positive.

The signs are different, so the product is negative.

A decrease is represented by a negative number.

Negative × positive gives a negative result.

Convert first the mixed number into improper fraction before multiplying.

Convert first the mixed number into improper fraction before multiplying.

Convert mixed number into improper fraction before multiplying.

Cross-cancellation can be applied. Cancel 5 and 25, 2 and 12. Then, multiply the remaining numerator and denominator.

Negative × positive = negative.

Negative × negative = positive.

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