Question

Fill in each of the place holders with the correct symbol > or <.

(i) 78.23 $\boxed{}$ 69.85
(ii) 3.406 $\boxed{}$ 3.46
(iii) 5.68 $\boxed{}$ 5.86
(iv) 14.05 $\boxed{}$ 14.005
(v) 1.85 $\boxed{}$ 1.805
(vi) 0.98 $\boxed{}$ 1.07

Answer 1

We have,

(i) Comparing the whole number part, 78 > 69.
Thus, 78.23 > 69.85

(ii) Converting the decimals into like decimals, we get 3.406 and 3.460.
Comparing the whole number parts, 3 = 3
Comparing the tenths digit, 4 = 4
Comparing the hundredths digit, 6 > 0
Thus, 3.406 < 3.46

(iii) Comparing the whole number parts, 5 = 5
Comparing the tenths digit, 6 < 8
Thus, 5.68 < 5.86

(iv) Converting the decimals into like decimals, we get 14.050 and 14.005.
Comparing the whole number parts, 14 = 14
Comparing the tenths digit, 0 = 0
Comparing the hundredths digit, 5 > 0
Thus, 14.05 > 14.005

(v) Converting the decimals into like decimals, we get 1.850 and 1.805.
Comparing the whole number parts, 1 = 1
Comparing the tenths digit, 8 = 8
Comparing the hundredths digit, 5 > 0
Thus, 1.85 > 1.805

(vi) Comparing the whole number parts, 0 < 1
Thus, 0.98 < 1.07