Compare the following pairs of decimals. use < or > to indicate their relationship. a. 0.7 0.52 b. 52 .045 c. 0.49 0.94 d. 0.302 .23 e. 0.9 0.6 f. 2.36 3.19

 a. 0.7 _>_0.52

b. 0 .52 _>_ .045

c. 0.49__<_ 0.94  

d. 0.302 __>__.23

e. 0.9 _>_ 0.6  

f. 2.36 _<_3.19

Step-by-step explanation:

To compare the given decimals, first convert them into like decimals by putting '0' at the last and the compare.

a. 0.70 _>___ 0.52  [Since 7 tenths is more than 5 tenths]

b. 0 .520 _> .045  [Since 5 tenths is more than 0 tenths]

c. 0.49 _<___ 0.94   [Since 4 tenths is less than 9 tenths]

d. 0.302 __>_0.230   [Since 3 tenths is more than 2 tenths]

e. 0.9 _>_ 0.6    [Since 9 tenths is more than 6 tenths]

f. 2.36 _<_ 3.19  [Since 3 ones is less than 2 ones]

i think the correct option is the second option.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for