What is the result of 34 × 6 using the partial products method?

34 can be broken into 30 + 4. Then, 30 × 6 = 180 and 4 × 6 = 24. Adding these gives 180 + 24 = 204.

When multiplying 42 × 23 using partial products, what are the four partial products?

Four partial products are:

• 40 × 20 = 800

• 40 × 3 = 120

• 2 × 20 = 40

• 2 × 3 = 6

Fill in the blank: The partial products method helps in ___ and ___.

Understanding place value and checking your work.

True or False: Partial products can only be used with two-digit multiplication.

False. Partial products can be used for multiplying numbers of any size.

What is the total when multiplying 72 × 6 using partial products?

Break 72 into 70 + 2, then multiply: 70 × 6 = 420 and 2 × 6 = 12. Adding gives 420 + 12 = 432.

Using partial products, what is the sum of 46 × 3?

46 can be split into 40 + 6. The products are: 40 × 3 = 120 and 6 × 3 = 18. So, 120 + 18 = 138.

Fill in the blank: When using the area model, you multiply each part of the first number by each part of the ___ number.

Second

What are the steps to multiply 53 × 7 using the vertical method?

First, multiply 3 × 7 = 21. Next, multiply 50 × 7 = 350. Finally, add 21 + 350 to get 371.

True or False: The area model is a way to organize partial products.

True.

What is the product of 36 × 24 using partial products?

Break 36 into 30 + 6 and 24 into 20 + 4. The products are: 30 × 20 = 600, 30 × 4 = 120, 6 × 20 = 120, and 6 × 4 = 24. So, 600 + 120 + 120 + 24 = 864.

Fill in the blank: To multiply 25 × 16, first break 25 into 20 + 5 and 16 into 10 + ___.

6

What is the final result of multiplying 47 × 26 using partial products?

Final product is 1,222.

• Use partial products method.

• Break down numbers for ease.

• Sum products to find total.

True or False: Partial products provide a way to see each multiplication step clearly.

True.

When multiplying two-digit numbers, how many partial products do you typically get?

You typically get four partial products when multiplying two two-digit numbers.

Fill in the blank: The partial products method is especially helpful for building a strong foundation for ___ multiplication.

Harder

What does the partial products method reveal about the relationship between addition and multiplication?

It shows that multiplication can be seen as repeated addition of the partial products.

Using partial products, calculate 68 × 43.

The product is 2,924.

• Partial products method used.

• Break numbers into parts.

• Sum all products to finalize.

Fill in the blank: When using partial products, it is important to break numbers by ___ value carefully.

Place

Using partial products, what is the result of multiplying 72 by 6?

72 multiplied by 6 equals 432.

• Break 72 into 70 and 2.

• Multiply 70 by 6 for 420.

• Add 420 and 12 to get 432.

The total cost of buying 15 packs of pencils at $4 each can be calculated using partial products. What is the total cost?

Total cost is $60.

• Calculate 15 packs cost.

• Use partial products method.

• Final total equals $60.

If a farmer plants 25 apple trees in each of 16 rows, how many apple trees does he plant in total? Use the partial products method.

The farmer plants 400 apple trees.

• Multiply 25 by 16.

• Use partial products method.

• Total equals 400 trees.