Question

Carlos is using the distributive property to evaluate the expression 14(49) by using friendlier numbers. His work is shown below.

Carlos’s Work

14(98)
Step 1
14(40 +9)
Step 2
14(40) + 9
Step 3
560+9
Step 4
569

What was the first error that Carlos made?
Step 1 should have been 14(7 + 7).
Step 2 should have been 14(40) + 14(9).
Step 3 should have been 23(40).
Step 4 should have been 5,040.

Answer 1

any ideas?

Answer 2

Just because I don't think this user will go online

I am not sure whether this was a typo or not, I am assuming it is solely because it is not mentioned in the answer choices

"14(40) + 9"

You were trying to distribute the 14 to the 40 and 9
Doing this will give you a different answer

You should have \(\boxed{14(40)+14(9)}\)