Why can the counter model for addition be extended to multiplication of integers?
AMultiplication is repeated addition
BMultiplication is repeated division
CMultiplication always gives a positive
DMultiplication reverses every sign
Answer & Solution
Correct answer: A. Multiplication is repeated addition
1. Multiplication is mathematical shorthand for repeated addition.
2. So a model built to show addition of integers can be reused for multiplication.
3. Writing a times b means adding a to itself b times.
4. That is why the same counter picture explains both operations.
_Source: OpenStax Prealgebra (CC BY 4.0), Ch 3 "Integers", section Multiply Integers_
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