Question

part a
fill in the model to show 80% of 500.
drag the values into the boxes to correctly complete the model.
(the image shows a percentage model with 10% segments and values 10, 50, 80, 100, 500, 800 to drag.)

Explanation:

Step1: Find 10% of 500

To find 10% of a number, we multiply the number by 0.1. So, 10% of 500 is $500\times0.1 = 50$.

Step2: Determine the value for each 10% box

Each of the small boxes labeled 10% should have the value 50, since 10% of 500 is 50.

Step3: Find 80% of 500 (or sum 8 of the 10% parts)

Since 80% is 8 times 10%, we can either calculate 80% of 500 directly: $500\times0.8 = 400$, or sum 8 of the 10% values (each 50). $8\times50 = 400$. Also, the top box representing 100% of 500 should be 500.

Step4: Fill the boxes

• Each of the 8 small 10% boxes (the first 8) should have 50.
• The top box (100%) should have 500.
• Wait, but the options include 50, 100, 500, etc. Wait, maybe I misread. Wait, the model has 10 sections of 10% each (since 10*10% = 100%). So each 10% section's value is 10% of 500, which is 50. So the first 8 small boxes (representing 80%) each have 50, and the top box (representing 100% of 500) has 500. Wait, but the values to drag are 10, 50, 80, 100, 500, 800. Wait, maybe I made a mistake. Let's recalculate:

10% of 500: $500\times\frac{10}{100}=50$. So each 10% block is 50. So the 8 blocks (for 80%) each have 50. The top block (100%) has 500.

So the small boxes (10% each) should have 50 in each of the first 8. The top box (100%) should have 500.

Answer:

• The top box (100%) is filled with 500.
• Each of the first 8 small boxes (10% each) is filled with 50.