Decimal Fractions
 

  1. Question: Which of the following sets of fractions is in descending order?

    A
    `3/5,7/9,6/7`

    B
    `7/9,3/5,6/7`

    C
    `7/9,6/7,3/5`

    D
    `6/7,7/9,3/5`

    Note: `3/7=0.6, 7/9=0.777 and 6/7=0.857` Clearly, 0.857>0.777>0.6
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  2. Question: Which of the following sets of fractions is in ascending order?

    A
    `5/6,6/8,7/9,11/13`

    B
    `6/8,7/9,5/6,11/13`

    C
    `11/13,5/6,7/9,6/8`

    D
    `11/13,7/9,6/8,5/6`

    Note: Converting each into decimal form, we get: `5/6=0.833,6/8=0.75,7/9=0.777,11/13=0.846.` Clearly, `0.75<0.777<0.833<0.846` or `6/8<7/9<5/6<11/13.`
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  3. Question: Which part contains the fractions in ascending order?

    A
    `11/14,16/19,19/21`

    B
    `16/19,11/14,19/21`

    C
    `19/21,11/14,16/19`

    D
    `16/19,19/21,11/14`

    Note: Converting each into decimal form, we get: `11/14=0.785,16/19=0.842` & `19/21=0.904.` Clearly, 0.785<0.842<0.904` or `11/14<16/19<19/21.`
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  4. Question: Which of the following fractions is the smallest?

    A
    `13/16`

    B
    `15/19`

    C
    `17/21`

    D
    `7/8`

    Note: We have: `13/16=0.8125,15/19=0.7894,17/21=0.8095` & `7/8=0.875.` The smallest of these is `15/19.'
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  5. Question: 0.000006723 when expressed in scientific notation, is:

    A
    `6723 xx 10^-5`

    B
    `67.23 xx 10^-7`

    C
    `6.723 xx 10^-6`

    D
    None

    Note: `0.000006723=0.000006723 xx 10^6/10^6 = 6.723/10^6=6.723 xx 10^-6.`
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  6. Question: What decimal of an hour is a second?

    A
    .0025

    B
    .0256

    C
    .00027

    D
    .000126

    Note: Required decimal=`1/60 xx 60 = 1/3600 = .00027`.
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  7. Question: If `1.125 xx 10^k = 0.001125`, then the value of k is:

    A
    -4

    B
    -3

    C
    -2

    D
    -1

    Note: `10^k = 0.001125/1.125 = 1.125/1125 = 1.125 xx 10^3/1125 xx 10^3 = 1/10^3 = 10^-3`. :. k=-3.
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  8. Question: ` 0.7683 + 0.369 + 0.05 + 0.8 =?`

    A
    `0.8065`

    B
    `1.9873`

    C
    `0.8110`

    D
    None

    Note: `0.7683` `0.369` `0.05` `(0.8)/(1.9873)`
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  9. Question: ` 3.1469 + 6.837 + ? = 15`

    A
    `24.9839`

    B
    `5.7634`

    C
    `5.0161`

    D
    None

    Note: Let, `3.1469 + 6.837` + x` `= 15` Then, `9.9839 + x ` `=15` or x `=(15 -9,9839) ` `=5.01161`
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  10. Question: `1.086 - .3983 - .669 = ?`

    A
    `.6208`

    B
    `1.3948`

    C
    `.0048`

    D
    `.0187`

    Note: `1.086 - .3983 - .669` `=1.086 -(.3983 + .669)` `=1.086 - 1.0673` `= .0187`
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