Respuesta :
Answer:
(1) F (5) F (9) T
(2) F (6) F
(3) T (7) F
(4) F (8) F
Step-by-step explanation:
(1)
290 is divisible by 17.
[tex]\frac{290}{17}=(17\times17)+1[/tex]
On dividing 290 by 17 there is a remainder left, i.e. 1.
Thus, this statement is False, F.
(2)
360 divides 20.
[tex]\frac{20}{360}=\frac{1}{18}[/tex]
On dividing 20 by 360 the result are in fractions.
Thus, this statement is False, F.
(3)
16 divides 208.
[tex]\frac{208}{16}=(13\times16)+0[/tex]
On dividing 208 by 16 there is no remainder left.
Thus, this statement is True, T.
(4)
10 | 181
[tex]\frac{181}{10}= (18\times10)+1[/tex]
On dividing 181 by 10 there is a remainder left, i.e. 1.
Thus, this statement is False, F.
(5)
17 divides 171
[tex]\frac{171}{17} =(17\times10)+1[/tex]
On dividing 171 by 17 there is a remainder left, i.e. 1.
Thus, this statement is False, F.
(6)
176 | 16
[tex]\frac{16}{176}= \frac{1}{11}[/tex]
On dividing 16 by 176 the result are in fractions.
Thus, this statement is False, F.
(7)
33653 is divisible by 188
[tex]\frac{33653}{188} =(179\times188)+1[/tex]
On dividing 33653 by 188 there is a remainder left, i.e. 1.
Thus, this statement is False, F.
(8)
17878 is divisible by 177
[tex]\frac{17878}{177} =(101\times177)+1[/tex]
On dividing 17878 by 177 there is a remainder left, i.e. 1.
Thus, this statement is False, F.
(9)
13 | 221
[tex]\frac{221}{13}= (17\times13)+0[/tex]
On dividing 221 by 13 there is no remainder left.
Thus, this statement is True, T.
