Question

In 11–12, identify the two factors that were multiplied together to form the array of tiles. Then identify the product of the two factors. a) Factors: 3 and 4, Product: 12 b) Factors: 2 and 6, Product: 8 c) Factors: 5 and 7, Product: 35 d) Factors: 8 and 9, Product: 17

Answer 1

The correct answer is option c) where the factors are 5 and 7, which when multiplied together, give a product of 35. Options a) and d) are incorrect as the given products do not match the multiplication of the factors.

Step-by-step explanation:

In the given question, we are asked to identify the two factors that were multiplied together to form an array of tiles and to determine their product. The correct answer from the given options is:

a) Factors: 3 and 4, Product: 12

This is because when we multiply 3 by 4, we get 12. Therefore, the two factors, 3 and 4, when multiplied together give us the product 12. This can be visualized by creating an array with 3 rows and 4 columns, where each tile represents a value of 1, and so the total number of tiles would represent the product.

Let's analyze the other options:

• b) Factors: 2 and 6, Product: 8 - Incorrect, as 2 multiplied by 6 is 12, not 8.
• c) Factors: 5 and 7, Product: 35 - Correct, as 5 multiplied by 7 is indeed 35.
• d) Factors: 8 and 9, Product: 17 - Incorrect, as 8 multiplied by 9 is 72, not 17.

Answer 2

To identify the correct factors and product from the provided options, we assess each case. Option c, with factors 5 and 7 resulting in a product of 35, is the correct answer as it accurately represents the multiplication of these two factors.

Step-by-step explanation:

The question here pertains to mathematics, specifically to the topic of multiplication and factors. It asks us to identify the two factors that were multiplied together to form an array of tiles and then identify the product of the two factors. The correct answer among the given options is:

• Factors: 5 and 7, Product: 35

Here's why the other options are incorrect:

• Option a suggests that the factors are 3 and 4 with a product of 12. While 3 times 4 indeed equals 12, that is already identified as the product.
• Option b lists factors 2 and 6 but gives the product as 8, which is incorrect because 2 times 6 equals 12.
• Option d mentions factors 8 and 9 with a product of 17, which is incorrect because 8 times 9 equals 72.

Therefore, option c is the correct response. When we multiply 5 by 7, the product is indeed 35. Recognizing factors and their products is a basic yet crucial skill in mathematics. The answer also reinforces that multiplication is commutative; meaning that the order in which you multiply the factors does not affect the product.