Without using mathematical table or calculator evaluate 0.18x12.5/0.05x0.2?
(.2*12.5 -.02*12.5)/(.05 *.2)
(.2*12.5 - .2*1.25 ) / (.05*.2)
(12.5 - 1.25) / .05
1125 /5
225
To evaluate the expression 0.18 × 12.5 / 0.05 × 0.2 without using a mathematical table or calculator, we can apply some mathematical techniques.
Let's break down the expression step by step:
Step 1: Simplify the division part of the expression by multiplying the numerator and the denominator by the reciprocal of 0.05. This gives us:
0.18 × 12.5 / 0.05 × 0.2
= 0.18 × 12.5 × (1 / 0.05) × 0.2
Step 2: Simplify the multiplication part by rearranging the order of the numbers. This will make it easier to perform mentally. We get:
0.18 × (1 / 0.05) × 12.5 × 0.2
Step 3: Simplify the first part of the expression by dividing 1 by 0.05. This gives us:
0.18 × (1 / 0.05) × 12.5 × 0.2
= 0.18 × 20 × 12.5 × 0.2
Step 4: Multiply the remaining numbers together:
0.18 × 20 × 12.5 × 0.2
= 3.6 × 12.5 × 0.2
Step 5: Multiply the remaining numbers:
3.6 × 12.5 × 0.2
= 45 × 0.2
Step 6: Finally, multiply the remaining numbers to get the result:
45 × 0.2
= 9
Therefore, the expression 0.18 × 12.5 / 0.05 × 0.2 evaluates to 9.