Multi-digit multiplication (standard algorithm) Transitional Reasoning Practice

Questions

1. 1.

   A charity road race registers 358 participants, where each participant pays a 24-dollar entry fee and purchases an official race shirt for 18 dollars. To determine the total revenue, an event accountant combines both costs per participant and sets up the standard multiplication algorithm to multiply the number of participants by this combined amount. Following the steps of the standard multiplication algorithm, what is the total revenue generated from all participants?

   • A) $15,036
   • B) $14,926
   • C) $12,736
   • D) $11,456
2. 2.

   A logistics coordinator uses the standard multiplication algorithm to calculate the total quantity of items by multiplying 274 crates by a two-digit number of items per crate. In the written algorithm, the second partial product is entered as 822 before the standard one-place shift to the left for the tens place, and the final recorded sum is 10,412. Following the steps of the standard multiplication algorithm, what is the value of the first partial product?

   • A) 2,192
   • B) 9,590
   • C) 1,918
   • D) 1,644
3. 3.

   An auditor reviews a printed inventory summary where a shipment of 36 identical industrial motors was logged using the standard multiplication algorithm. The total weight was calculated by multiplying the three-digit unit weight, $4\text{d}7\text{ kg}$, by 36, but a smudge obscured the tens digit $d$ of the unit weight. The first partial product, formed by multiplying $4\text{d}7$ by the ones digit 6, remains fully legible as 2,682. Following the steps of the standard multiplication algorithm, what is the correct final product representing the total weight of the shipment in kilograms?

   • A) 13,410 kg
   • B) 15,732 kg
   • C) 17,892 kg
   • D) 16,092 kg
4. 4.

   A school district purchases 178 science kits for each of its 45 classrooms. To manage payments, the district finance office calculates the total using the standard multiplication algorithm and splits the funding between two sources based on the partial products. The local fund pays for the quantity represented by the ones-digit partial product, while a state grant pays for the quantity represented by the tens-digit partial product. How many more kits are funded by the state grant than by the local fund?

   • A) 178
   • B) 6,130
   • C) 6,230
   • D) 7,120

Answers and step-by-step solutions appear after you finish the test.