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OPM1501 Assignment 3 (COMPLETE ANSWERS) 2024 (839387) - DUE 8 July 2024
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OPM1501Assignment 3
(COMPLETE
ANSWERS)
2024 (839387) -
DUE 8 July 2024
, Question 1 1.1. Complete the following function machines so that the inputs
give the correct outputs: a) 32 224 (3) b) 1080 − 960 (3) c) 525 25 (3) d) 510
270 (3) (12)
To complete the function machines, we need to determine the operations that produce the given
outputs from the inputs. Let's solve each part:
a) For input 32 to output 224: 32×7=22432×7=224 So, the operation is multiplication by 7.
b) For input 1080 to output 960: 1080−120=9601080−120=960 So, the operation is
subtraction of 120.
c) For input 525 to output 25: 525÷21=25525÷21=25 So, the operation is division by 21.
d) For input 510 to output 270: 510÷2=255510÷2=255 255−15=240255−15=240
240+30=270240+30=270 So, the operations are division by 2, subtraction of 15, and
addition of 30.
Therefore, the completed function machines are:
a) ×7×7 b) −120−120 c) ÷21÷21 d) ÷2,−15,+30÷2,−15,+30
1.2. If you were asked to complete the following number line by filling in the
missing numbers, explain why it would not be possible to do so: 19 31 42 (4)
To complete the number line with the missing numbers, we need to identify a pattern or
relationship between the given numbers. However, the given numbers 19, 31, 42, and
the space between them (4) do not seem to follow any consistent arithmetic
progression or geometric sequence.
Let's try to find a pattern:
From 19 to 31, the difference is 31−19=1231−19=12. From 31 to 42, the difference is
42−31=1142−31=11.
There is a decrease in the difference between consecutive numbers. This suggests that
the sequence is not following a consistent pattern.
Given this inconsistency, it's not possible to accurately determine the missing numbers
or fill in the gaps on the number line without further information or clarification about
the sequence. Therefore, it would not be possible to complete the number line with the
missing numbers based on the provided information.
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