How can seven times the product of two numbers a and b be expressed algebraically?

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Multiple Choice

How can seven times the product of two numbers a and b be expressed algebraically?

Explanation:
To express seven times the product of two numbers \( a \) and \( b \) algebraically, we begin with the concept of a product in mathematics, which involves multiplying two quantities together. The product of \( a \) and \( b \) is written as \( ab \). When the problem states "seven times the product," it refers to multiplying this product by 7. Therefore, we can write this mathematically as \( 7 \times (ab) \). This is equivalently expressed as \( 7ab \). Thus, the correct representation of seven times the product of \( a \) and \( b \) is indeed \( 7ab \), which aligns perfectly with the understanding of multiplication and direct application of coefficients to products in algebra.

To express seven times the product of two numbers ( a ) and ( b ) algebraically, we begin with the concept of a product in mathematics, which involves multiplying two quantities together. The product of ( a ) and ( b ) is written as ( ab ).

When the problem states "seven times the product," it refers to multiplying this product by 7. Therefore, we can write this mathematically as ( 7 \times (ab) ). This is equivalently expressed as ( 7ab ).

Thus, the correct representation of seven times the product of ( a ) and ( b ) is indeed ( 7ab ), which aligns perfectly with the understanding of multiplication and direct application of coefficients to products in algebra.

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