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Which of the following statements show correct ways to find \( 7 \times 198 \)?

A. \( 7 \times 198 = (7 \times 200) + (7 \times 2) \)

B. \( 7 \times 198 = (7 \times 200) - (7 \times 2) \)

C. \( 7 \times 198 = (7 + 100) \times (7 + 90) \times (7 + 8) \)

D. \( 7 \times 198 = (7 \times 100) \times (7 \times 90) \times (7 \times 8) \)

E. \( 7 \times 198 = (7 \times 100) + (7 \times 90) + (7 \times 8) \)

Answer :

Final answer:

The correct statement that shows how to find the product 7 × 198 is B.7×198=(7×200)−(7×2). This utilizes the distributive property of multiplication over addition by rounding 198 to the nearest hundred, then subtracting the overestimated amount.

Explanation:

To correctly find the product of 7 × 198, you would use a multiplication operation, obviously. The statement that accurately represents this operation is B.7×198=(7×200)−(7×2). This method uses the distributive property of multiplication over addition.

Here's how it works: First, you round up 198 to the nearest hundred which is 200, then subtract 2 (to account for rounding up). Next, multiply 7 by 200 and 7 by 2 separately. Afterwards, subtract the product of 7 and 2 from the product of 7 and 200 to find the exact product of 7×198.

The rest of the given statements are incorrect ways to calculate this product due to incorrect usage of the properties of numbers and operation rules.

Learn more about Multiplication Operation here:

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