Question

which equations can be represented by the model below? 100 + 6 53 53×10053×6 choose all the correct answers. a 5,618÷106 = 53 b 106÷53 = 2 c 5,300÷53 = 100 d 5,618÷53 = 106 e 106÷2 = 53 f 5,300÷100 = 53

Explanation:

Step1: Calculate the product represented by the model

The model represents \(53\times(100 + 6)=53\times100+53\times6=5300 + 318=5618\).

Step2: Analyze option A

\(5618\div106 = 53\) is correct because \(53\times106=53\times(100 + 6)=5618\).

Step3: Analyze option B

\(106\div53 = 2\) is a correct - but it is not directly related to the product model.

Step4: Analyze option C

\(5300\div53 = 100\) is correct as \(53\times100 = 5300\).

Step5: Analyze option D

\(5618\div53 = 106\) is correct since \(53\times106=5618\).

Step6: Analyze option E

\(106\div2 = 53\) is correct - but not directly related to the product model.

Step7: Analyze option F

\(5300\div100 = 53\) is correct as \(53\times100 = 5300\).

Answer:

A. \(5,618\div106 = 53\)
C. \(5,300\div53 = 100\)
D. \(5,618\div53 = 106\)
F. \(5,300\div100 = 53\)