Question

What value should go in the empty box to complete the calculation for finding the product of 62.834 × 0.45?

62.834 times 0.45 gives two partial products. The first is 314170, and the second is unknown.

A) 2,213,360
B) 2,313,360
C) 2,413,360
D) 2,513,360

Answer 1

The second partial product for the multiplication 62.834 × 0.45 is 2,313,360, making it option B) 2,313,360 the correct answer to complete the calculation.

Step-by-step explanation:

The problem involves finding the second partial product of the multiplication 62.834 × 0.45 to determine the complete product. As given, the first partial product is 314170 for the tenths place. Since we are multiplying by 0.45, we need to account for the hundredths place (0.05). When we multiply 62.834 by 0.05, we are essentially multiplying by 5 and then moving the decimal point two places to the left, similar to the example where 45.86 × 100 is 4586 when moving the decimal two places to the right.

Therefore, the calculation would be:

• 62.834 × 5 = 314.17 (This is the raw product before adjusting the decimal place for the hundredths)
• Now, move the decimal point two places to the left: 314.17 becomes 3.1417
• Lastly, convert this result to deal with the decimal places correctly: 3.1417 becomes 314170 (as we are looking for a number similar in format to the first partial product)

To find the correct complete product, we need to add a certain number of zeros after 314170 to account for the decimal places. After adding five zeros, we reach option B) 2,313,360 which is the correct value for the second partial product, completing the multiplication.