Question

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

Carlos’s Work<br /><br /><br /><br /><br />
14(49) <br /><br /><br />
Step 1 <br /><br />
14(40 + 9) <br /><br /><br />
Step 2 <br /><br />
14(40) + 9 <br /><br /><br />
Step 3 <br /><br />
560 + 9 <br /><br /><br />
Step 4 <br /><br />
569 <br /><br /><br /><br />
What was the .

Answer 1

you know what better than 24?

25

Answer 2

The mistake here is that Carlos did not correctly use the distributive property (in fact, he didn't use it at all.)
14(49)
14(40 + 9)
Multiply both 40 and 9 by 14, then add them again.
14(40)+14(9)
560+126
686 is the correct answer.