Seven times the sum of two numbers a and b can be expressed as?

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Multiple Choice

Seven times the sum of two numbers a and b can be expressed as?

Explanation:
To express seven times the sum of two numbers \( a \) and \( b \), we start by identifying what the sum of the two numbers \( a \) and \( b \) is: \( a + b \). When we need to find seven times this sum, we multiply the entire expression by 7. Mathematically, this can be written as: \[ 7 \times (a + b) \] This simplifies directly to: \[ 7(a + b) \] Thus, the correct representation of seven times the sum of \( a \) and \( b \) is indeed \( 7(a + b) \). The other choices do not represent the operation described in the question. For instance, multiplying the two numbers \( a \) and \( b \) or combining them in other ways won't yield the same result as the correct choice. Therefore, the answer reflects the mathematical operation that accurately represents the expression of interest.

To express seven times the sum of two numbers ( a ) and ( b ), we start by identifying what the sum of the two numbers ( a ) and ( b ) is: ( a + b ).

When we need to find seven times this sum, we multiply the entire expression by 7. Mathematically, this can be written as:

[ 7 \times (a + b) ]

This simplifies directly to:

[ 7(a + b) ]

Thus, the correct representation of seven times the sum of ( a ) and ( b ) is indeed ( 7(a + b) ).

The other choices do not represent the operation described in the question. For instance, multiplying the two numbers ( a ) and ( b ) or combining them in other ways won't yield the same result as the correct choice. Therefore, the answer reflects the mathematical operation that accurately represents the expression of interest.

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