The two properties newton used to rewrite the <em>expression </em>are;
<u><em>- Associative Property; Because it involves change of grouping of numbers in the expression.</em></u>
<u><em>- Distributive Property; Because it involves distribution of a number outside a bracket to numbers inside that same bracket.</em></u>
- This involves algebraic <em>properties</em>. There are 3 major types that work on only addition and multiplication namely;
- Associative Property
- Commutative Property
- Distributive Property
Let us define each of them;
1) Associative Property; This property in algebra is one that means that no
matter how we group the numbers, we will still get the same result. e.g.
x + (y + z) = (x + y) + z.
2) Commutative Property; This property means that we can change the
order of <em>operation</em> and still get the same answer. For example;
p × q × r = p × r × q
3) Distributive Property; This property means that multiplying the sum of
two or more which are in a bracket by a number outside the will be equal to
the answer gotten when we multiply each number in the bracket
individually by the number outside and then adding their respective
products together. For example; p(q + r) = (p * q) + (p * r)
Newton has the expression; (4 × 23) × 25
Since it is multiplication, he can use any of the three properties above but let us use the <em>associative and distributive properties </em> as they are most suited to this expression<em>.</em>
- For the <em><u>associative property</u></em> as shown above, he will arrive at;
(4 × 23) × 25 = 4 × (23 × 25)
- For the <u><em>distributive property</em></u> as shown above, he will arrive at;
(4 × 23) × 25 = (25 × 4) + (25 × 23)
Read more at; brainly.com/question/20724601
is the first term of the series,
is the common ratio of the series, and
is the number of terms in this series.