To calculate the expression \( 8.99 - 2.9 \times 2.3 + 0.3^2 \), we will follow the order of operations (PEMDAS/BODMAS):
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Calculate \( 2.9 \times 2.3 \): \[ 2.9 \times 2.3 = 6.67 \]
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Calculate \( 0.3^2 \): \[ 0.3^2 = 0.09 \]
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Now, substitute these values back into the expression: \[ 8.99 - 6.67 + 0.09 \]
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Perform the subtraction and addition step: \[ 8.99 - 6.67 = 2.32 \] \[ 2.32 + 0.09 = 2.41 \]
So, the final result is: \[ \boxed{2.41} \]