Simplify the expression:
(0.2)
3
+(0.3)
3
+(0.5)
3
+3×0.5×0.7×0.8
- A1.525
- B0.001
- C0.005
- D1.000
Solution & Step-by-step Explanation
Let's calculate each term:
(0.2)
3
=0.008
(0.3)
3
=0.027
(0.5)
3
=0.125
Sum of the cubes:
0.008+0.027+0.125=0.160
Now calculate the product term:
3×0.5×0.7×0.8=1.5×0.56=0.840
Adding the results together:
0.160+0.840=1.000
(0.2)
3
=0.008
(0.3)
3
=0.027
(0.5)
3
=0.125
Sum of the cubes:
0.008+0.027+0.125=0.160
Now calculate the product term:
3×0.5×0.7×0.8=1.5×0.56=0.840
Adding the results together:
0.160+0.840=1.000