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Estimate 2001 × 31.01

To calculate the product of 2001 and 31.01, one can approach the problem by breaking it down into simpler components. First, it is beneficial to recognise that 31.01 can be expressed as 31 plus 0.01. This allows for a more manageable multiplication process, where one can first compute the multiplication of 2001 by 31, followed by the multiplication of 2001 by 0.01. By summing these two results, the final product can be obtained.

The multiplication of 2001 by 31 yields a significant figure, as it involves multiplying a three-digit number by a two-digit number. This calculation can be performed using traditional multiplication methods or by employing mental math strategies, depending on the comfort level of the individual. Following this, the multiplication of 2001 by 0.01 is straightforward, as it simply involves moving the decimal point two places to the left, resulting in 20.01. 

Once both products are calculated, the next step is to add them together to arrive at the final result. This method not only simplifies the calculation but also reinforces the mathematical principles that are often emphasised in GCSE Maths Easter Revision. By understanding how to break down complex problems into simpler parts, students can enhance their problem-solving skills and improve their overall mathematical proficiency.

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