Decimal Fractions, General Mathematics

Question: The vale of ` 2.1bar36` is :
A
` 47/220`

B
` 68/495`

C
` 2 (3)/(22)`

D
None

Note: `2.1bar36` `= 2 + 0.1bar36` `= 2 + (136 - 1)/990` `= 2 + 3/22` `= 2(3)/22`.
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Question: The simplification of ` ( .bar6 + .bar7 + .bar8 + .bar3)` yields the result :
A
` 2 (3)/(10)`

B
` 2 (2)/(3)`

C
` 2.bar35`

D
` 5 (3)/(10)`

Note: `0.bar6 + 0.bar7 + 0.bar8 + 0.bar3` `= (6/9 + 7/9 + 8/9 + 3/9)` `= 24/9` `= 8/3` `= 2(2/3)`.
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Question: The value of `(3.bar87 - 2.bar59)` equals :
A
` 1.20`

B
` 1.2`

C
` 1.bar27`

D
` 1.bar28`

Note: `3.bar87 - 2.bar59` `= (3 + 0.bar87) - (2 + 0.bar59)` `= (3 + 87/99) - (2 + 59/99)` `= 1+ (87/99 - 59/99)` `= 1 + 28/99` `= 1.bar28`.
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Question: ` (0.bar63 + 0.bar37)` is equal to :
A
`1`

B
`1.bar01`

C
`0.bar101`

D
`1.01`

Note: `0.bar63 + 0.bar37` `=63/99 + 37/99` `= (63 + 37)/99` `= 100/99` `= 1 (1)/99` `=1 + 0.bar01` `= 1.bar01`.
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Question: ` (0.34bar67 + 0.13bar33)` is equal to :
A
`0.48`

B
`0.48bar01`

C
`0.48`

D
`0.48`

Note: `0.34bar67 + 0.13bar33` `= (3467-34)/(9900) + (1333-13)/(9900)` `= (3433 + 1320)/(9900)` `= 4753/9900` `= (4801-48)/9900` `= 0.48bar01`.
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Question: The sum of `bar2 .75` and `bar3 .78` is :
A
` 5.53`

B
` bar4 .53`

C
` 1.53`

D
` 1.03`

Note: `bar2 .75 + bar3 .78` `= (-2 + 0.75) + (-3 + 0.78)` `= -5 + (0.75 + 0.78)` `= -5 + 1.53` `= - 5 + 1 + 0.53` `= -4 + 0.53` `= bar4 .53`.
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Question: ` 18.2 xx 0.013 xx 5.21` is equal to :
A
`12.32686`

B
`123.2686`

C
`1.232686`

D
`0.1232686`

Note: `182 xx 13 xx 521` `= 1232686.` Sum of deeeecimal places `= 6` `:. 18.2 xx 0.013 xx 5.21` `= 1.232686`
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Question: ` (7.5 xx 0.9 xx 14.4)` is equal to :
A
`48.6`

B
`91.44`

C
`97.2`

D
`94.95`

Note: `7.5 xx 0.9 xx 14.4` `= (75 xx 9 xx 14)/1000` `= (3 xx 9 xx 36)/10` `= 972/10` `= 97.2`.
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Question: ` 3 xx 0.3 xx 0.03 xx 0.003 xx 30 = ?`
A
` 0.0000243`

B
` 0.000243`

C
` 0.00243`

D
` 0.0243`

Note: `3 xx 3 xx 3 xx 3 xx 30` `=2430` Sum of decimal places `= 6` :.`3 xx 0.3 xx 0.03 xx 0.003 xx 30` `= .002430` `= 0.00243`.
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Question: On simpifaction `1/0.04` is equal to :
A
`2.5`

B
`25`

C
`2/5`

D
`1/40`

Note: `1/0.04` `= 100/4` `= 25`.
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Question: The vale of ` 2.1bar36` is :

Question: The simplification of ` ( .bar6 + .bar7 + .bar8 + .bar3)` yields the result :

Question: The value of `(3.bar87 - 2.bar59)` equals :

Question: ` (0.bar63 + 0.bar37)` is equal to :

Question: ` (0.34bar67 + 0.13bar33)` is equal to :

Question: The sum of `bar2 .75` and `bar3 .78` is :

Question: ` 18.2 xx 0.013 xx 5.21` is equal to :

Question: ` (7.5 xx 0.9 xx 14.4)` is equal to :

Question: ` 3 xx 0.3 xx 0.03 xx 0.003 xx 30 = ?`

Question: On simpifaction `1/0.04` is equal to :