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Verify 27 (34 - 58 ) = 27 x 34 - 27 x58

User Shihab
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2 Answers

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Step-by-step explanation:

27 × 34 = 918

27 × -58 = -1566

918 - (-1566) = 2484

User Rolnn
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6 votes

Final answer:

The student's question about verifying the equation 27 (34 - 58) = 27 x 34 - 27 x 58 is answered by demonstrating the distributive property of multiplication over subtraction: 27 x 34 - 27 x 58 = 918 - 1566 = -648, confirming the equality.

Step-by-step explanation:

The student's question involves verifying the equation 27 (34 - 58) = 27 x 34 - 27 x 58. This is an application of the distributive property of multiplication over subtraction, which in general form is expressed as a(b - c) = ab - ac. To perform the verification, we distribute the 27 to both 34 and 58 within the parentheses. Here is the step-by-step process:

  • Multiply 27 by 34 to get 918.
  • Multiply 27 by 58 to get 1566.
  • Subtract the second product from the first to verify the equation: 918 - 1566 equals -648.
  • So, 27 multiplied by (34 - 58) also equals -648, verifying the original equation as correct.

This shows the use of the distributive property and ensures that both the left and right sides of the equation are equivalent.

User Pete Scott
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