Final answer:
To solve the division problem 4 ÷ (1/3), you can think of blocks that weigh 1/3 pound each. Rewriting the division problem as 4 × 3/1, you can then multiply the whole numbers and multiply the fractions to get 12. Therefore, Matthew would need to put 12 blocks on the scale to make the total weight 4 pounds.
Step-by-step explanation:
To solve the division problem 4 ÷ (1/3), you can think of blocks that weigh 1/3 pound each. The question asks how many blocks Matthew would need to put on a scale so that the total weight is 4 pounds. To solve this, you can use the idea that multiplying a whole number by a fraction is equivalent to dividing the whole number by the reciprocal of the fraction. So, you can rewrite the division problem as 4 × 3/1, and then multiply the whole numbers and multiply the fractions.
4 × 3/1 = 12/1 = 12
Therefore, Matthew would need to put 12 blocks on the scale to make the total weight 4 pounds.