Simplify 976 × 265 + 976 × 735.
976000
To simplify the expression \(976 \times 265 + 976 \times 735\), we can use the distributive property of multiplication over addition. The distributive property states that \(a \times (b + c) = a \times b + a \times c\).
In this case, \(a = 976\), \(b = 265\), and \(c = 735\). We can rewrite the expression as:
\(976 \times (265 + 735)\)
Now, we add the numbers inside the parentheses:
\(265 + 735 = 1000\)
So the expression becomes:
\(976 \times 1000\)
Multiplying 976 by 1000 is simply adding three zeros to the end of 976:
\(976 \times 1000 = 976000\)
Therefore, the simplified expression is 976000.
Correct Answer: 976000
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