For a school art festival, the organisers need to prepare 96 packets of coloured sheets, with 35 sheets in each packet. The teacher wants to find the total number of sheets without using the usual long multiplication procedure. Students are asked to look for a convenient way of rewriting the arithmetic expression and use the distributive property of multiplication over addition or subtraction.
Based on the above information, answer the following questions.
(a) In which of the following arithmetic expressions represents the total number of coloured sheets?
(b) Using the distributive property, which of the following correctly represents the student's method for total number of coloured sheets?
(c) Find the total number of coloured sheets using the effective method.
(d) Another student suggests calculating \(96 \times 35\) by rewriting 35 as a two convenient numbers using some operations. Which of the following would also correctly use the distributive property?