119k views
3 votes
Quinn Tried To Evaluate An Expression Step By Step. 3 . 104 . 0.002 =3 . 104 . 2 . 10-3 Step 1 =3 . 2 . 104 . 10-3 Step 2 =6 . 101 Step 3 Find Quinn's Mistake.

1 Answer

6 votes

Final answer:

Quinn's mistake is found in Step 2 of her evaluation process. She ignored the 104 when doing the multiplication. The correct answer should be 0.624 instead of 6.101.

Step-by-step explanation:

The subject of this question is Mathematics, particularly the topic of evaluating expressions. Quinn needs to evaluate the expression 3 . 104 . 0.002. First, Quinn converted 0.002 to scientific notation, which is 2 . 10^-3. This is correct. In Step 1, Quinn rearranged the order of multiplication, which is allowable due to the Commutative Property of Multiplication. So far, Quinn's steps are correct.

However, Quinn made a mistake in Step 2. The result of 3 . 2 . 104 . 10^-3 should be 624, not 6 . 101. The reason for this mistake is that Quinn seems to have ignored the 104 completely when doing the multiplication. The correct step should have been as follows: 3*2*104*10^-3 = 624*10^-3 = 0.624.

Learn more about evaluating expressions

User Rizwan Kassim
by
7.8k points