.888
= (888 + 88 + 8 + 8 + 8)*8/8 = (888 + 88 + 8 + 8 + 8)*8/8 = (888 + 88 + 8 + 8 + 8)*8/8 = (888 + 88 + 8 + 8 + 8)*8/8
888
8 plus 8 plus 8 plus 88 plus 888 = 1000
8A + (8A+8) + (8A+16) = 888 24A + 24 = 888 ===> 24A = 864 ===> A = 36 The multiples are 8A, 8A+8, 8A+16 = 288, 296, 304. Sum = 888.
.888
= (888 + 88 + 8 + 8 + 8)*8/8 = (888 + 88 + 8 + 8 + 8)*8/8 = (888 + 88 + 8 + 8 + 8)*8/8 = (888 + 88 + 8 + 8 + 8)*8/8
888
Since you can add zeros to the right end of a decimal expression, .888 is the same as .8880 Now, which is smaller, .8880 or .9999? .888 is right. ■
4.
888.0 = 888/1
8 plus 8 plus 8 plus 88 plus 888 = 1000
888+88+8+8+8 888+88=976 976+8=984 984+8=992 992+8=1000
8+8+8 = 24
8A + (8A+8) + (8A+16) = 888 24A + 24 = 888 ===> 24A = 864 ===> A = 36 The multiples are 8A, 8A+8, 8A+16 = 288, 296, 304. Sum = 888.
888+88+8+8+8 976+8+8+8 984+8+8 992+8 1000
The GCF is 8.