Which of the following statements show correct ways to find ? Select all that
apply.
(1 point)
7 × 198 7 × 198
7 × 198 = (7 × 200) + (7 × 2) 7 × 198 = 7 × 200 + 7 × 2
7 × 198 = (7 × 200) − (7 × 2) 7 × 198 = 7 × 200 - 7 × 2
7 × 198 = (7 + 100) × (7 + 90) × (7 + 8) 7 × 198 = 7 + 100 × 7 + 90 × 7 + 8
7 × 198 = (7 × 100) × (7 × 90) × (7 × 8) 7 × 198 = 7 × 100 × 7 × 90 × 7 × 8
7 × 198 = (7 × 100) + (7 × 90) + (7 × 8) 7 × 198 = 7 × 100 + 7 × 90 + 7 × 8
- 7 × 198 = (7 × 200) + (7 × 2)
- 7 × 198 = (7 × 200) − (7 × 2)
- 7 × 198 = (7 × 100) + (7 × 90) + (7 × 8)
- 7 × 198 = 7 × 100 + 7 × 90 + 7 × 8
The correct ways to find 7 × 198 are:
1. 7 × 198 = (7 × 200) + (7 × 2)
2. 7 × 198 = 7 × 200 + 7 × 2
3. 7 × 198 = (7 × 100) + (7 × 90) + (7 × 8)
4. 7 × 198 = 7 × 100 + 7 × 90 + 7 × 8
So, the correct statements are (1) and (3).
To find the answer to the question, we need to determine which of the statements provided show correct ways to find a product.
Let's analyze each statement:
Statement 1: 7 × 198 = (7 × 200) + (7 × 2)
This statement uses the distributive property and correctly breaks down the number 198 into the sum of two products. It is a correct way to find the product.
Statement 2: 7 × 198 = (7 × 200) - (7 × 2)
This statement also uses the distributive property but subtracts one of the products instead of adding it. While this calculation is mathematically valid, it does not directly find the product of 7 × 198. Therefore, it is not a correct way to find the product.
Statement 3: 7 × 198 = (7 + 100) × (7 + 90) × (7 + 8)
This statement uses the incorrect method of adding factors instead of multiplying. Therefore, it is not a correct way to find the product.
Statement 4: 7 × 198 = (7 × 100) × (7 × 90) × (7 × 8)
Similar to statement 3, this statement also uses the incorrect method of adding factors instead of multiplying them. Thus, it is not a correct way to find the product.
Statement 5: 7 × 198 = (7 × 100) + (7 × 90) + (7 × 8)
This statement uses the correct method of finding the product by multiplying each factor separately and then adding the results. It is a correct way to find the product.
In summary, the correct statements for finding the product of 7 × 198 are: Statement 1 and Statement 5.