Question 12 of 43intermediate🔧 ApplyShort Answer5 marks

For each number given below, write expressions for at least two different ways to obtain the number through button clicks. Think like Chitti and be creative. (a) 8300 (b) 40629 (c) 56354 (d) 66666 (e) 367813

(a)
Answer

Way 1: (83×10083 \times 100) = 8300; Way 2: (8×10008 \times 1000) + (3×1003 \times 100) = 8300

(b)
Answer

Way 1: (40×100040 \times 1000) + (6×1006 \times 100) + (2×102 \times 10) + (9×19 \times 1) = 40629; Way 2: (4×100004 \times 10000) + (6×1006 \times 100) + (29×129 \times 1) = 40629

(c)
Answer

Way 1: (5×100005 \times 10000) + (6×10006 \times 1000) + (3×1003 \times 100) + (5×105 \times 10) + (4×14 \times 1) = 56354; Way 2: (56×100056 \times 1000) + (3×1003 \times 100) + (54×154 \times 1) = 56354

(d)
Answer

Way 1: (6×100006 \times 10000) + (6×10006 \times 1000) + (6×1006 \times 100) + (6×106 \times 10) + (6×16 \times 1) = 66666; Way 2: (666×100666 \times 100) + (66×166 \times 1) = 66666

(e)
Answer

Way 1: (3×1000003 \times 100000) + (6×100006 \times 10000) + (7×10007 \times 1000) + (8×1008 \times 100) + (1×101 \times 10) + (3×13 \times 1) = 367813; Way 2: (36×1000036 \times 10000) + (78×10078 \times 100) + (13×113 \times 1) = 367813

Explanation

(a) 8300 can be expressed as 83 hundreds or as 8 thousands plus 3 hundreds. (b) 40629 can be expressed using place values or alternative groupings. (c) 56354 can be expressed using standard place values or alternative groupings. (d) 66666 can be expressed using place values or alternative groupings. (e) 367813 can be expressed using place values or alternative groupings.

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