Final answer:
To match multiplication expressions to decimal places in their products, count the total number of decimal places in the factors. The expression 0.48(12.19) has four decimal places in the product, 50.7(1405) has one, and 420.938 has three.
Step-by-step explanation:
The question relates to multiplication of decimal numbers and understanding how to determine the number of decimal places in the product of two numbers. To match each multiplication expression with the number of decimal places in its product, you need to look at the numbers being multiplied and count the total number of decimal places in the factors.
- For the expression 0.48(12.19), there are a total of four decimal places in the factors (two in 0.48 and two in 12.19), so the product will have four decimal places. The correct match is g) 0.48(12.19).
- For 50.7(1405), since 50.7 has one decimal place and 1405 has none, the product will have one decimal place. The correct match is b) 50.7(1405).
- For 420.938, since there are no other factors, the number of decimal places remains unchanged, which is three decimal places. The correct match is f) 420.938.