Question

40 the model represents $0.42 \div 6$. andy is asked to find the quotient. his work is shown.
40 is andys work correct?
40 yes. there are 7 small squares in each group, so the quotient is 7.
40 yes. there are 7 equal groups, so the quotient is 7.
40 no. each small square represents a tenth, so the quotient is 0.7.
40 no. each small square represents a hundredth, so the quotient is 0.07.
andys work
there are 7 small squares in each group.
$0.42 \div 6 = 7$

Explanation:

Step1: Understand the decimal value

The number 0.42 means $\frac{42}{100}$, so each small square in the model represents a hundredth ($0.01$).

Step2: Calculate the quotient

We need to compute $0.42 \div 6$. Rewrite 0.42 as $42 \times 0.01$, so:
$$0.42 \div 6 = (42 \times 0.01) \div 6 = (42 \div 6) \times 0.01 = 7 \times 0.01 = 0.07$$

Step3: Evaluate Andy's work

Andy claims the quotient is 7, but he ignored that each square is a hundredth, not a whole number. His work is incorrect.

Answer:

No. Each small square represents a hundredth, so the quotient is 0.07.