Question

Which one of the following models correctly represents the final value obtained by adding the decimals 5.67 and 2.81?

• A. Model A
• B. Model B
• C. Model C
• D. Model D

Answer 1

The correct option is A Model A

The following table shows the place represented by each shape:


Following the given representation, the decimals 5.67 and 2.81 can be shown as:


Now, calculating the value of 5.67 + 2.81, we get:


So, the sum of 5.67 + 2.81 can be represented using 7 flats, 14 rods, and 8 blocks.

However, 10 rods = 1 flat

∴ 14 rods = (10 + 4) rods
= 10 rods + 4 rods
= 1 flat + 4 rods


Rewriting the 10 rods as 1 flat, we get:


So, the final sum of 5.67 + 2.81 is represented using 8 flats, 4 rods, and 8 blocks.

∴ 5.67 + 2.81 = 8.48

Now, comparing the model of 8.48 to the given models, we find that Model A corrrectly represents the addition of 5.67 and 2.81.


So, Model A is the correct choice.