Question

1. Solve these problems using the DMAS
(a) 123×0+4÷2-2
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Answer 1

There isn't a "scientific" reason -- mathematics is not a science. In fact it isn't always presented as "DMAS", you can also see "MDAS" and, possibly "DMSA" and "MDSA" as well. The technical reasons are that given A, B and C

* division, A/B, is really A * multiplicative_inverse(B)

* multiplication (and hence division) distributes over addition, so there are "implicit parentheses in A * B + C, like so: (A * B) + C

* subtraction, A - B, is really A + additive_inverse(B)

In practice, someone who works with equations regularly will simplify parts of an equation as they go, possibly collecting *appropriate* addends first

f = 127 * 892 + 1 - 1

might be simplified to

f = 127 * 892

as a first step, since it is obvious that the one's cancel each other.

The point of the DMAS rule is to make the binding order of infix notation explicit for people who are learning to do more than just "sums" or "products".

Hope this helps.

Answer 2

Answer:

=> 0

Step-by-step explanation:

Given that:-

$123\times 0+4\div2-2$

To simplify the expression we have to use the DMAS rule:

D - division ( ÷ )

M - multiplication ( × )

A - addition ( + )

S - subtraction ( - )

As we have,

$=> 123\times 0+4\div2-2$

By performing the multiplication, we get

$=> 0+4\div2-2$

Dividing the numbers,

=> 0 + 2 - 2

=> 0 + 0

=> 0

Hence, the required solution is 0.