Lesson Worksheet: Multiplying Two-Digit Numbers: Partial Products Mathematics • 4th Grade

In this worksheet, we will practice multiplying a two-digit number by another two-digit number by calculating the partial products and using the expanded column multiplication.

Q1:

Find the missing number from this model, then find the product of 25×53.

  • A60, 1,325
  • B60, 1,075
  • C90, 1,355
  • D90, 1,265
  • E60, 1,265

Q2:

David wants to calculate 72×14 and add the partial products as follows:

What number should be the result of multiplying tens by tens?

What number should be the result of multiplying tens by ones?

What number should be the result of multiplying ones by tens?

What number should be the result of multiplying ones by ones?

What number should be the result of adding the products?

Q3:

Benjamin saves $15 each week. How much does he save in 12 weeks?

Q4:

Charlotte finds the product of 42 and 34 by calculating the partial products: 42×348+160+600+12001968

Which of the partial products in Charlotte’s calculation are correct?

  • AAll of them
  • BOnly 8 and 160
  • COnly 8, 160, and 1,200
  • DOnly 8 and 1,200
  • EOnly 160 and 1,200

Q5:

Look carefully at the following multiplication problem: 63×227540+6012001827

What is the missing digit?

Q6:

Amelia correctly added together the partial products 54, 180, 450, and 1,500 to find the solution to a multiplication problem. Which of these could be the multiplication problem she solved?

  • A93×56
  • B39×65
  • C36×59
  • D39×56
  • E63×95

Q7:

Which sum is equal to 63×28?

  • A24+48+600+1,200
  • B240+480+60+1,200
  • C24+48+60+1,200
  • D24+480+60+1,200
  • E24+480+600+1,200

Q8:

Find 27×53 by adding partial products.

Q9:

Jackson thinks of a pair of two-digit numbers.

His first number has a 7 in the ones place, and the second has a 6 in the tens place.

Jackson correctly uses partial products to multiply his two numbers together: 7×6=.

What is the smallest possible value of Jackson’s answer?

Q10:

Read the following equation carefully: 74×23=(4×3)+(70×3)+(4×20)+(70×20)=12+210+80+.

What is the missing number?

What is 74×23?

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