Question

X – 0.30x = 0.70x

A - Decrease a number by 30% is the same as multiplying by 70%.
B - Decrease a number by 30% is the same as increasing by 70%.
C - Decrease a number by 0.30 is the same as multiplying by 0.70.
D - Decrease a number by 30 is the same as multiplying by 70.

Answer 1

A - Decrease a number by 30% is the same as multiplying by 70%.

Explanation:

This statement is incorrect. Decreasing a number by 30% means that the number will be reduced by 30% of its original value. For example, if the original number is 100, decreasing it by 30% would give you 100 - 30% * 100 = 100 - 30 = 70. On the other hand, multiplying a number by 70% would increase it by 70% of its original value, which is a different operation.

C - Decrease a number by 0.30 is the same as multiplying by 0.70.

This statement is also incorrect. Decreasing a number by 0.30 means subtracting 0.30 from the original number, while multiplying by 0.70 means multiplying the original number by 0.70. These are two different operations that will result in different results.