127.An integer is divisible by 4 if its last two digits form a number divisible by 4, and not
otherwise. Show that
(a)6,221,464 is divisible by 4 and (b)2,876,335 is not divisible by 4.
128.An integer is divisible by 5 if its last digit is divisible by 5, and not otherwise. Show that
(a)3,774,595 is divisible by 5 and (b)9,332,123 is not divisible by 5.
129.An integer is divisible by 6 if it is divisible by both 2 and 3, and not otherwise. Show
that
(a)1,524,822 is divisible by 6 and (b)2,873,590 is not divisible by 6.
130.An integer is divisible by 8 if its last three digits form a number divisible by 8, and not
otherwise. Show that
(a)2,923,296 is divisible by 8 and (b)7,291,623 is not divisible by 8.
131.An integer is divisible by 9 if the sum of its digits is divisible by 9, and not otherwise.
Show that
(a)4,114,107 is divisible by 9 and (b)2,287,321 is not divisible by 9.
132.An integer is divisible by 12 if it is divisible by both 3 and 4, and not otherwise. Show
that
(a)4,253,520 is divisible by 12 and (b)4,249,474 is not divisible by 12.Summary Exercises on Operations with Real Numbers 59
Perform each indicated operation.
- (continued)
1 - 42172 - 1 - 52122 - 53 - 4 - 1 - 221 - 724 40 - 1 - 2238 - 94
- 617 - 32 7 + 312 - 102 - 431 - 22162 - 74
14 - 3 # 10 - 3182 - 41 - 72 13 - 821 - 22 - 10
SUMMARY EXERCISESon Operations with Real Numbers