Fill in the blanks to make each of the following a true statement:

(i) 785 × 0=....

(ii) 4567 × 1=...

(iii) 475 × 129=129 × ....

(iv) .... × 8975=8975 × 1243

(v) 10 × 100 × ...=10000

(vi) 27 × 18=27 × 9+27 × ...+27 × 5

(vii) 12 × 45=12 × 50 − 12 × ...

(viii) 78 × 89=78 × 100 − 78...+78 × 5

(ix) 66 × 85=66 × 90 − 66 × ... − 66

(x) 49 × 66+49 × 34=49 × (...+...)

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Solution

(i) 785 × 0 = 0

(ii) 4567 × 1 = 4567 (Multiplicative identity)

(iii) 475 × 129 = 129 × 475 (Commutativity)

(iv) 1243 × 8975 = 8975 × 1243 (Commutativity)

(v) 10 × 100 × 10 = 10000

(vi) 27 × 18 = 27 × 9 + 27 × 4 + 27 × 5

(vii) 12 × 45 = 12 × 50 − 12 × 5

(viii) 78 × 89 = 78 × 100 − 78 × 16 + 78 × 5

(ix) 66 × 85 = 66 × 90 − 66 × 4 − 66

(x) 49 × 66 + 49 × 34 = 49 × (66 + 34)

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