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Mathematics

Use the appropriate symbol < or > to fill in the blanks:

(i) 173 … 189

(ii) 1058 … 1074

(iii) 8315 … 8037

Number System

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Answer

(i) 173 … 189

Both numbers have 3 digits.

Comparing from the leftmost digit:

The hundreds digit is 1 in both.

The tens digit is 7 in 173 and 8 in 189.

Since 7 is less than 8, 173 is smaller than 189.

Hence, 173 < 189.

(ii) 1058 … 1074

Both numbers have 4 digits.

Comparing from the leftmost digit:

The thousands digit is 1 in both.

The hundreds digit is 0 in both.

The tens digit is 5 in 1058 and 7 in 1074.

Since 5 is less than 7, 1058 is smaller than 1074.

Hence, 1058 < 1074.

(iii) 8315 … 8037

Both numbers have 4 digits.

Comparing from the leftmost digit:

The thousands digit is 8 in both.

The hundreds digit is 3 in 8315 and 0 in 8037.

Since 3 is greater than 0, 8315 is greater than 8037.

Hence, 8315 > 8037.

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