Numeracy Assignment | Mathematics Assignment

NUMERACY

TABLE OF CONTENTS
QUESTION 1...................................................................................................................................1
A. Three Laws of Indices............................................................................................................1
B. Simplification.........................................................................................................................1
C. Evaluation...............................................................................................................................2
QUESTION 2...................................................................................................................................2
A. Root Laws and Examples.......................................................................................................2
B. Evaluation...............................................................................................................................3
C. Expression in a scientific notation..........................................................................................3
QUESTION 3...................................................................................................................................3
A. Final balance using the simple interest..................................................................................3
QUESTION 4...................................................................................................................................4
A. While compounding the interest annually, time taken to double the investment..................4
B. Calculating the compound Interest ........................................................................................4
QUESTION 5...................................................................................................................................4
A. Finding the value of x.............................................................................................................4
QUESTION 6...................................................................................................................................5
A. Net Present Value (NPV) of the investment..........................................................................5
B. Reasoning for proceeding the process in ATOP Trading Ltd. ..............................................6
QUESTION 7...................................................................................................................................6
A. Tally for the given data..........................................................................................................6
B. Histogram of the data set........................................................................................................6
C. Ideas on the distribution of the marks....................................................................................7
QUESTION 8...................................................................................................................................7
A. Real life examples of Probability...........................................................................................7
B. Value for x..............................................................................................................................7
C. Estimation of the number that it lands on number 4..............................................................7
D. Characteristics similar to the probability context...................................................................8
SECTION 2......................................................................................................................................8
TASK 1............................................................................................................................................8

TASK 3............................................................................................................................................8

QUESTION 1
A. Three Laws of Indices
For writing a product of numbers shortly, a power or index is used. The plural of that
index is indices. All the three laws are discussed below :
First Law
It states that when the expressions with the same bases are being multiplied, the powers or
indices are added.
am * an = am+n
e.g. We can take the following example
76 * 74 = 76+4 = 710
In the example above, it is clear that the both the bases are same as 7, so powers are added.
Second Law
It states that when the same bases are being divided, the powers or indices are being subtracted.
am/an = am-n
Here, we can take the following example
85/83 = 85-3 = 82
Third Law
It states that to reach an expression of an nth index, copy the base and multiply the indices.
(am)n = amn
In this, we can take the following example,
(64)2 = 64*2 =68
B. Simplification
In case of first law,
am * an = 76 * 74
am+n = 76+4
= 710
In case of second law,
am/an = 85/83
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