24
Number Notations, Arithmetical Operations, and Calculators
Solve for the unknown variable in the following problems
(o) (M - 5)
2 = 49
(p) 3x + 5 = 4x
2 + 3
(q) (x + 2)
2 - 3x + 6
(r) 2x
2 + 3x = 5
(s) 3n
2 - 7n = 6
(t) (m - 3)
2 = 5 - 2m
(u) (>> + 4)
2 - 3 = 22
(v) 2 35x
2 + 43 4* - 29 65 = 0
(w) 4 75 x 103
*
2 - 2 06 x lO'
2
* + 9 17 x 10
3 - 0
D The repetitive use of stored constants (These problems are ideally suited
to a programmable calculator where, with a suitable program along with
stored constants, one simply keys in the values of the independent variable
and reads out the values of the calculated dependent variable If your
calculator is programmable, these would be good simple practice problems for programming )
(x) Make a table of the factors needed to convert gas pressures expressed
in R t ' mm of mercury" at r°C to pressures expressed in R 0 torr' for
each degree Celsius in the range 20°C to 30°C Use the formula
R 0 = R t (l - 630 x 10~
4 ?)
(y) Make a table of the vapor pressures of water (P in torr) at each 5°C
interval in the range 0°C to 50°C, using the following formula
I (Kelvin) = 273 + f°C
(z) Make a table of the densities of water for each degree Celsius in the
range 0°C to 15°C, using the formula
_ 0 99983960 + 1 8224944 x 10~
2
f - 7 92221 x 1Q-"?
2 - 5 544846 x 10~
8 f
3
H2 ° ~
1+1 8159725 x 10~
2 /
PROBLEMS B
7 Simple operations
(a) 15 64 + 0 925 + 475 06+2 197 =
(b) 732,379,454 22 - 1,625,486,915 64 =
(c) 18 735 + 270 16 - 89 98 - 428 2 + 39 34 + 300 09 - 165 322 =
(d) 536 297 x 8,477,062 35 =
(e) 6,323,576 819 x 000000000844611 -
475 3 x 730 4 x 273 8
(g)
760 0 x 298 2
(-0 00704)(46 46) - (395 7)(-0 0001156)
(220 6)(-0 0435) - (-62 413)(0 7807)
Number Notations, Arithmetical Operations, and Calculators
Solve for the unknown variable in the following problems
(o) (M - 5)
2 = 49
(p) 3x + 5 = 4x
2 + 3
(q) (x + 2)
2 - 3x + 6
(r) 2x
2 + 3x = 5
(s) 3n
2 - 7n = 6
(t) (m - 3)
2 = 5 - 2m
(u) (>> + 4)
2 - 3 = 22
(v) 2 35x
2 + 43 4* - 29 65 = 0
(w) 4 75 x 103
*
2 - 2 06 x lO'
2
* + 9 17 x 10
3 - 0
D The repetitive use of stored constants (These problems are ideally suited
to a programmable calculator where, with a suitable program along with
stored constants, one simply keys in the values of the independent variable
and reads out the values of the calculated dependent variable If your
calculator is programmable, these would be good simple practice problems for programming )
(x) Make a table of the factors needed to convert gas pressures expressed
in R t ' mm of mercury" at r°C to pressures expressed in R 0 torr' for
each degree Celsius in the range 20°C to 30°C Use the formula
R 0 = R t (l - 630 x 10~
4 ?)
(y) Make a table of the vapor pressures of water (P in torr) at each 5°C
interval in the range 0°C to 50°C, using the following formula
I (Kelvin) = 273 + f°C
(z) Make a table of the densities of water for each degree Celsius in the
range 0°C to 15°C, using the formula
_ 0 99983960 + 1 8224944 x 10~
2
f - 7 92221 x 1Q-"?
2 - 5 544846 x 10~
8 f
3
H2 ° ~
1+1 8159725 x 10~
2 /
PROBLEMS B
7 Simple operations
(a) 15 64 + 0 925 + 475 06+2 197 =
(b) 732,379,454 22 - 1,625,486,915 64 =
(c) 18 735 + 270 16 - 89 98 - 428 2 + 39 34 + 300 09 - 165 322 =
(d) 536 297 x 8,477,062 35 =
(e) 6,323,576 819 x 000000000844611 -
475 3 x 730 4 x 273 8
(g)
760 0 x 298 2
(-0 00704)(46 46) - (395 7)(-0 0001156)
(220 6)(-0 0435) - (-62 413)(0 7807)