Final answer:
The multiplication problems that will have two decimal places in the product are A. 5 x 0.83, B. 5.31 x 10^0, and E. 3.2 x 4.7.
Step-by-step explanation:
The student's question revolves around identifying which problems from a given list will have two decimal places in the product. To solve this, we need to analyze each of the multiplication problems provided:
- A. 5 x 0.83: Multiplying a whole number by a two-decimal place number results in two decimal places in the product, as no additional decimal places are introduced by the whole number.
- B. 5.31 x 10^0: Since 10^0 equals 1, multiplying by 10^0 does not change the original number. The product will have the same number of decimal places as 5.31, which is two decimal places.
- C. 7.2 x 10: Multiplying by 10 moves the decimal one place to the right, resulting in a whole number with no decimal places.
- D. 6.6 x 3: 6.6 has one decimal place, and multiplying by the whole number 3 results in a product with one decimal place.
- E. 3.2 x 4.7: Both numbers have one decimal place. When two numbers with one decimal place each are multiplied, the product will typically have two decimal places.
Therefore, the problems that will have two decimal places in the product are A, B, and E.