Evaluating the Expression: (1 25-0 25x5)x(1 1x1 2x1 3x1 4x1 5)
In this article, we will evaluate the expression (1 25-0 25x5)x(1 1x1 2x1 3x1 4x1 5)
and break it down step by step.
Step 1: Evaluating the First Part of the Expression
The first part of the expression is (1 25-0 25x5)
. To evaluate this, we need to follow the order of operations (PEMDAS):
- Evaluate the expression inside the parentheses:
1 25-0 25x5
25x5
means 25 multiplied by 5, which is equal to125
- So, the expression becomes
1 25-0 125
- Subtract
0
from125
, which results in125
- Finally, add
1
to125
, which gives us126
So, the first part of the expression evaluates to 126
.
Step 2: Evaluating the Second Part of the Expression
The second part of the expression is (1 1x1 2x1 3x1 4x1 5)
. To evaluate this, we need to follow the order of operations (PEMDAS) again:
- Evaluate the expressions inside the parentheses:
1 1x1 2x1 3x1 4x1 5
1x1
means 1 multiplied by 1, which is equal to1
2x1
means 2 multiplied by 1, which is equal to2
3x1
means 3 multiplied by 1, which is equal to3
4x1
means 4 multiplied by 1, which is equal to4
5
is just a constant- Add up all the terms:
1 + 2 + 3 + 4 + 5 = 15
So, the second part of the expression evaluates to 15
.
Step 3: Evaluating the Final Expression
Now that we have evaluated both parts of the expression, we can multiply them together:
126 x 15 = 1890
Therefore, the final answer is 1890.