Negative Numbers: Multiplication and Division

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Ed Southwood

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Needs to be tested

2 years, 9 months ago

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Ed Southwood 2 years, 9 months ago

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Ed Southwood 2 years, 9 months ago

Gave some feedback: Needs to be tested

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Ed Southwood 2 years, 9 months ago

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Question statement

Calculate the following:

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	-3
b	integer	2
c	integer	5
d	integer	-2
answer_a	integer	60
even_a	boolean	true
odd_a	boolean	false
b1	integer	-6
b2	integer	-3
b3	integer	-2
b4	integer	-3
b5	integer	2
even_b	boolean	true
odd_b	boolean	false
answer_b	rational	6

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(-9..-2)

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

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Generated value: `integer`

-3

→ Used by:

answer_a
even_a

This variable doesn't seem to be used anywhere.

Advice

a) Ignoring the signs $\var{abs(a)} \times \var{abs(b)} \times \var{abs(c)} \times \var{abs(d)} = \var{abs(a)*abs(b)*abs(c)*abs(d)}$ .

Since there are $\var{length(filter(x<0,x,[a,b,c,d]))}$ negative signs in the question, which is even, the answer is positive.

This means the answer is: $\var{a} \times \var{b} \times \var{c} \times \var{d}= \var{a*b*c*d}$ .

a) Ignoring the signs $\var{abs(a)} \times \var{abs(b)} \times \var{abs(c)} \times \var{abs(d)} = \var{abs(a)*abs(b)*abs(c)*abs(d)}$ .

Since there are $\var{length(filter(x<0,x,[a,b,c,d]))}$ negative signs in the question, which is odd, the answer is negative.

This means the asnwer is, $\var{a} \times \var{b} \times \var{c} \times \var{d}= \var{a*b*c*d}$ .

b) Ignoring the signs $\frac{ \var{abs(b1)} \times \var{abs(b2)} \times \var{abs(b3)}}{ \var{abs(b4)} \times \var{abs(b5)}} = \frac{ \var{abs(b1)*abs(b2)*abs(b3)} }{ \var{abs(b4)*abs(b5)}} = \var{abs(b1)*abs(b2)*abs(b3) / (abs(b4)*abs(b5))}$ .

Since the number of negative signs in the question is even the answer is positive.

Therefore the answer is: $\var{(b1)*(b2)*(b3) / ((b4)*(b5))}$

b)Ignoring the signs $\frac{ \var{abs(b1)} \times \var{abs(b2)} \times \var{abs(b3)}}{ \var{abs(b4)} \times \var{abs(b5)}} = \frac{ \var{abs(b1)*abs(b2)*abs(b3)} }{ \var{abs(b4)*abs(b5)}} = \var{abs(b1)*abs(b2)*abs(b3) / (abs(b4)*abs(b5))}$ .

Since the number of negative signs in the question is odd the answer is negative.

Therefore the answer is: $\var{(b1)*(b2)*(b3) / ((b4)*(b5))}$

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Negative Numbers: Multiplication and Division

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Feedback

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Checkpoint description

Ed Southwood 2 years, 9 months ago

Ed Southwood 2 years, 9 months ago

Ed Southwood 2 years, 9 months ago

Error in variable testing condition

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Warning

Generated value: `integer`

Parts

Number entry

Advanced settings

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Error

Negative Numbers: Multiplication and Division

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Ed Southwood 2 years, 9 months ago

Ed Southwood 2 years, 9 months ago

Ed Southwood 2 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Number entry

Advanced settings

Generated value: `integer`