which of the following statements shows the halving and doubling strategy to find 28*50
a. 28*50=14*100
b. 28*50= (14*25)*(14*25)
c. 28*50= (20*50)+(8*50)
d. 28*50= 2*(14*25)
clearly a)
you halved one factor and doubled the other.
b) and d) are sheer nonsense
c) is true but shows the distributive propery
The correct statement that shows the halving and doubling strategy to find 28*50 is option d.
28*50 = 2*(14*25)
The halving and doubling strategy, also known as the multiplication by factors of 2, is a method to simplify complex multiplication problems. It involves breaking down the original problem into simpler calculations by halving and doubling the numbers involved.
To find 28 multiplied by 50 using the halving and doubling strategy, we can consider the following statements:
a. 28*50=14*100
Explanation: This statement involves halving 28 to get 14 and doubling 50 to get 100. Therefore, it shows the halving and doubling strategy.
b. 28*50= (14*25)*(14*25)
Explanation: This statement breaks down the problem into simpler calculations by halving and doubling. It represents 28 as 14 multiplied by 25 (halving and doubling 50), and then multiplying these by 14 again (halving and doubling 28).
c. 28*50= (20*50)+(8*50)
Explanation: This statement is not an example of the halving and doubling strategy. It represents the original problem as a sum of two products rather than using halving and doubling.
d. 28*50= 2*(14*25)
Explanation: This statement represents the original problem as the product of 2 and 14 multiplied by 25, which is equivalent to 28 multiplied by 50 using the halving and doubling strategy.
Therefore, the correct statement that demonstrates the halving and doubling strategy to find 28*50 is option d. 28*50= 2*(14*25).