Question

Tanisha modeled 5 divided by 8
using the following models. Which models are accurate representations of the multiplication of these two factors?




The image for model number 1 shows a grid with four rows and ten columns with 40 equal-sized boxes.




The image for model number 2 shows five groups of asterisks. In each group there are eight asterisks.






The image for model number 3 shows a number line that goes from 0 to 45 with 44 marks in between and is labeled by fives. A curved arrow shows 8 jumps: From 0 to 5, from 5 to 10, from 10 to 15, from 15 to 20, from 20 to 25, from 25 to 30, from 30 to 35, from 35 to 40.

A) All three models accurately represent .



B) Only models and accurately represent .



C) Only models and accurately represent .



D) None of the models accurately represents .

Answer 1

B) Only models 2 and 3 accurately represent 5 × 8.

Reason: Model 2 shows five groups of eight (8+8+8+8+8 = 40 = 5×8). Model 3 shows eight jumps of 5 on the number line (8×5 = 40). Model 1 is a 4×10 array (40 boxes) and represents 4×10, not clearly 5×8.