Write a word problem for 5 x 2 1/2 which requires the use of repeated addition model.
Hi Irma. Could you explain to me what the repeated addition model is? I think if I understood what the model actually is that I could help you with this problem.
Repeated addition is like 4+4+4
Ok so for this you would want the person to add the number '2.5', 5 times.
So could you say something like:
Kate went to the grocery store and wanted to buy 5 apples. One apple costs $2.50. How much would Kate's total come to?
Yes, thanks so much!
Irma
No problem :)
Sure! Here's a word problem that requires the use of the repeated addition model for the multiplication 5 x 2 1/2:
"Sarah is making sandwiches for her family's picnic. She needs to make 5 sandwiches, and each sandwich requires 2 1/2 slices of ham. How many slices of ham does Sarah need in total?"
To solve this problem using the repeated addition model, we need to multiply the number of sandwiches (5) by the number of slices of ham needed for each sandwich (2 1/2).
Step 1: Write the multiplication expression:
5 x 2 1/2
Step 2: Convert the mixed number to an improper fraction:
2 1/2 = 5/2
Step 3: Rewrite the multiplication expression using the improper fraction:
5 x 5/2
Step 4: Use the repeated addition model to solve:
5/2 + 5/2 + 5/2 + 5/2 + 5/2
Each fraction represents one sandwich, so we have 5 fractions added together, each equal to 5/2.
Step 5: Simplify the fractions and add them:
5/2 + 5/2 + 5/2 + 5/2 + 5/2 = 25/2
The final answer is 25/2, which means Sarah needs 25/2 slices of ham in total to make 5 sandwiches.