Question

Which is greater? Give reason for your answer?


(i) 1.008 or 1.800
(ii) 3.3 or 3.300
(iii) 5.64 or 5.603
(iv) 1.5 or 1.50
(v) 1.431 or 1.439
(vi) 0.5 or 0.05

Answer 1

(i) 1.008 < 1.800
The whole parts are equal, and comparing the tenth parts, we have 0 < 8.
Therefore, 1+ 0/10 +8/1000 < 1+8/10.

(ii) 3.3 = 3.300
The whole parts and the tenth parts are both equal.

(iii) 5.64 > 5.603
The whole parts and the tenth parts are both equal. Comparing the hundredth parts, we have 4 > 0.
Therefore, 5+ 6/10 + 4/100 > 5 + 6/10 + 0/100 + 3/1000.

(iv) 1.5 = 1.50
The whole parts and the tenth parts are both equal.

(v) 1.431 < 1.439
The whole parts, the tenth parts and the hundredth parts are all equal. Comparing the thousandth parts, we have 1 < 9.
Therefore, 1+ 4/10 + 3/100 + 1/1000 < 1+4/10 + 3/100 + 9/1000.

(vi) 0.5 > 0.05
The whole parts are both 0. Comparing the tenth parts, we have 5 > 0.
Therefore, 5/10 > 0/10 +5/100.