Long multiplication (age 10+)

Question 1

When multiplying 5,127 by 28 using the standard long‑multiplication algorithm, which statement correctly describes each partial product and explains why the two partial products are added together?

Accepted Answer

First multiply 5,127 by 8 (the ones digit) to get 41,016; then multiply 5,127 by 20 (the tens digit) to get 102,540; finally add the two partial products to obtain 143,556.

Answer

Treat the two‑digit number 28 as a single factor, so the only partial product is 5,127 × 28 = 143,556; no addition of partial products is needed.

Answer

First multiply 5,127 by 28 to get 143,556, then subtract the product of 5,127 and 10 (52,270) to correct for the extra tens place.

Answer

Multiply 5,127 by 2 (the tens digit) to get 10,254 and by 8 (the ones digit) to get 41,016, then add them to get 51,270.

Question 2

What is the product of 236 × 48?

Accepted Answer

11,328

Answer

11,376

Answer

10,328

Answer

11,288

Question 3

A video game store has 4,791 game cartridges on each shelf. If the store has 36 shelves, how many cartridges are in the store in total?

Accepted Answer

172,476

Answer

173,476

Answer

172,746

Answer

172,416

Try three questions

When multiplying 5,127 by 28 using the standard long‑multiplication algorithm, which statement correctly describes each partial product and explains why the two partial products are added together?

What is the product of 236 × 48?

A video game store has 4,791 game cartridges on each shelf. If the store has 36 shelves, how many cartridges are in the store in total?

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