Mathematics

Estimate the following quotients by rounding off each number to its nearest tens:

(i) 423 ÷ 29

(ii) 777 ÷ 27

Number System

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Answer

(i) 423 ÷ 29

Rounding off 423 to its nearest tens: ones digit is 3 (< 5), so 423 → 420.

Rounding off 29 to its nearest tens: ones digit is 9 (≥ 5), so 29 → 30.

Estimated quotient = 420 ÷ 30 = 14.

Hence, the estimated quotient = 14.

(ii) 777 ÷ 27

Rounding off 777 to its nearest tens: ones digit is 7 (≥ 5), so 777 → 780.

Rounding off 27 to its nearest tens: ones digit is 7 (≥ 5), so 27 → 30.

Estimated quotient = 780 ÷ 30 = 26.

Hence, the estimated quotient = 26.

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