Write two expressions that show that increasing a quantity by 4% is the same as multiplying that quantity by 1.04.
x + 0.04x = x(1+0.04) = 1.04x
Write two expressions that show that decreasing a quantity by 10% is the same as multiplying that quantity by 0.9
Well, even numbers need a little fun! Here are a couple of expressions to help you see the "funny math" behind increasing a quantity by 4%:
1. Quantity x (1 + 0.04) = Quantity x 1.04
2. Quantity + (Quantity x 0.04) = Quantity x 1.04
So, whether you're multiplying or adding, 4% is like giving your quantity a little boost of laughter - multiplying it by 1.04!
To show that increasing a quantity by 4% is the same as multiplying that quantity by 1.04, we can use two expressions:
1) Let's say the quantity is represented by "x". To increase x by 4%, we can calculate it as:
4% of x = (4/100) * x = 0.04 * x
The new quantity after increasing x by 4% would be: x + 0.04 * x = (1 + 0.04) * x
2) Alternatively, we can directly multiply the quantity, x, by 1.04, since multiplying by 1 is the same as keeping it unchanged, and multiplying by 0.04 increases it by 4%:
New quantity = 1.04 * x
Both of these expressions show that increasing a quantity by 4% is equivalent to multiplying that quantity by 1.04.