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ppr maths nbk



                         CHAPTER 1 : STANDARD FORM

EXERCISE 2

  1. Round off each of the following numbers to 3 significant figures.

     (a) 2963                      = __________________

     (b) 51852                     = __________________

  2. Round off 71.65 to

     (a) 3 Significant figures     = __________________

     (b) 1 Significant figures     = __________________

  3. Round off 0.06053 to

     (a) 3 Significant figures     = __________________

     (b) 2 Significant figures     = __________________

     (c) 1 Significant figures     = __________________

  4. Express each of the following numbers in standard form

     (a)   48000                   = ___________________

     (b)   9200.05                 = ___________________

     (c)   0.026                   = ___________________

     (d)   0.00000038              = ___________________

  5. Convert the following numbers in standard form to a single number.

     (a) 2.19 × 10 3               = ___________________

     (b) 8.2 × 10 −4               = ___________________

  6. Evaluate each of the following and express your answers in standard form.

     (a) 16000000 + 2500000        = ____________________

     (b) 0.69 + 10.451             = ____________________


                                                                                    1
ppr maths nbk




7. Evaluate each of the following and express your answers in standard form.

   (a) 920000 – 87000           = ____________________

   (b) 0.043 – 0.00095          = ____________________

8. Evaluate each of the following and express your answers in standard form.

   (a) 4.8 × 700                = ____________________

   (b) 0.0029 × 0.065           = ____________________

9. Evaluate each of the following and express your answers in standard form.

   (a) 48.6 × 0.03              = ____________________

   (b) 0.000096 ÷ 0.04          = ____________________

10. Given that the mass of a carbon atom and an oxygen atom are 2 × 10 −23 g and
    2.7 × 10 −23 g respectively, one molecule of carbon dioxide gas consist of one
    carbon atom and two oxygen atoms. Calculate the mass in gram, of one molecule
    of carbon dioxide gas.

                                                    Answer : _________________




                                                                                 2
ppr maths nbk



                            CHAPTER 1 : STANDARD FORM

DIAGNOSTIC TEST

1. Round off 0.0487 correct to two significant figures.
   A 0.04
   B 0.05
   C 0.048
   D 0.049


2. 2.7 × 10 5 + 77000 =

     A   1.04   ×     105
     B   1.04   ×     109
     C   3.47   ×     105
     D   3.47   ×     109


3. The area of a rectangular plot of land is 9.2 km2. Its width is 2300 m. Find the length,
   in m, of the plot of land.

     A   4 × 103
     B   4 × 104
     C   6.9 × 103
     D   6.9 × 104


4. Express 0.0000405 in standard form.

     A   4.05 × 10-5
     B   4.05 × 105
     C   405 × 10-7
     D   405 × 107


     9 ⋅ 28 × 10 −2
5.                    =
     (4 × 10 )
             −3 2




     A   2 ⋅ 32 × 10 3
     B   2 ⋅ 32 × 10 4
     C   5 ⋅ 8 × 10 3
     D   5 ⋅ 8 × 10 4



                                                                                          3
ppr maths nbk



6. 5 ⋅ 34 × 10 −7 − 3 ⋅ 7 × 10 −8 =

      A   1 ⋅ 64 × 10 −8
      B   1 ⋅ 64 × 10 −7
      C   4 ⋅ 97 × 10 −8
      D   4 ⋅ 97 × 10 −7


7. Round off 0 ⋅ 07207 correct to three significant figures.

      A   0 ⋅ 07
      B   0 ⋅ 072
      C    0 ⋅ 0720
      D    0 ⋅ 0721


8. Round off 80725 correct to three significant figures.

      A   80700
      B   80720
      C   80730
      D   80800


9. Express 9 ⋅ 9263 × 10 −6 as a single number.

      A   0 ⋅ 009263
      B   0 ⋅ 0009263
      C   0 ⋅ 00009263
      D   0 ⋅ 000009263


       0 ⋅ 02
10.           =
      4000000

      A   5 × 10 3
      B   5 × 10 4
      C   5 × 10 −8
      D   5 × 10 −9




                                                                          4

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F4 01 Standard Form

  • 1. ppr maths nbk CHAPTER 1 : STANDARD FORM EXERCISE 2 1. Round off each of the following numbers to 3 significant figures. (a) 2963 = __________________ (b) 51852 = __________________ 2. Round off 71.65 to (a) 3 Significant figures = __________________ (b) 1 Significant figures = __________________ 3. Round off 0.06053 to (a) 3 Significant figures = __________________ (b) 2 Significant figures = __________________ (c) 1 Significant figures = __________________ 4. Express each of the following numbers in standard form (a) 48000 = ___________________ (b) 9200.05 = ___________________ (c) 0.026 = ___________________ (d) 0.00000038 = ___________________ 5. Convert the following numbers in standard form to a single number. (a) 2.19 × 10 3 = ___________________ (b) 8.2 × 10 −4 = ___________________ 6. Evaluate each of the following and express your answers in standard form. (a) 16000000 + 2500000 = ____________________ (b) 0.69 + 10.451 = ____________________ 1
  • 2. ppr maths nbk 7. Evaluate each of the following and express your answers in standard form. (a) 920000 – 87000 = ____________________ (b) 0.043 – 0.00095 = ____________________ 8. Evaluate each of the following and express your answers in standard form. (a) 4.8 × 700 = ____________________ (b) 0.0029 × 0.065 = ____________________ 9. Evaluate each of the following and express your answers in standard form. (a) 48.6 × 0.03 = ____________________ (b) 0.000096 ÷ 0.04 = ____________________ 10. Given that the mass of a carbon atom and an oxygen atom are 2 × 10 −23 g and 2.7 × 10 −23 g respectively, one molecule of carbon dioxide gas consist of one carbon atom and two oxygen atoms. Calculate the mass in gram, of one molecule of carbon dioxide gas. Answer : _________________ 2
  • 3. ppr maths nbk CHAPTER 1 : STANDARD FORM DIAGNOSTIC TEST 1. Round off 0.0487 correct to two significant figures. A 0.04 B 0.05 C 0.048 D 0.049 2. 2.7 × 10 5 + 77000 = A 1.04 × 105 B 1.04 × 109 C 3.47 × 105 D 3.47 × 109 3. The area of a rectangular plot of land is 9.2 km2. Its width is 2300 m. Find the length, in m, of the plot of land. A 4 × 103 B 4 × 104 C 6.9 × 103 D 6.9 × 104 4. Express 0.0000405 in standard form. A 4.05 × 10-5 B 4.05 × 105 C 405 × 10-7 D 405 × 107 9 ⋅ 28 × 10 −2 5. = (4 × 10 ) −3 2 A 2 ⋅ 32 × 10 3 B 2 ⋅ 32 × 10 4 C 5 ⋅ 8 × 10 3 D 5 ⋅ 8 × 10 4 3
  • 4. ppr maths nbk 6. 5 ⋅ 34 × 10 −7 − 3 ⋅ 7 × 10 −8 = A 1 ⋅ 64 × 10 −8 B 1 ⋅ 64 × 10 −7 C 4 ⋅ 97 × 10 −8 D 4 ⋅ 97 × 10 −7 7. Round off 0 ⋅ 07207 correct to three significant figures. A 0 ⋅ 07 B 0 ⋅ 072 C 0 ⋅ 0720 D 0 ⋅ 0721 8. Round off 80725 correct to three significant figures. A 80700 B 80720 C 80730 D 80800 9. Express 9 ⋅ 9263 × 10 −6 as a single number. A 0 ⋅ 009263 B 0 ⋅ 0009263 C 0 ⋅ 00009263 D 0 ⋅ 000009263 0 ⋅ 02 10. = 4000000 A 5 × 10 3 B 5 × 10 4 C 5 × 10 −8 D 5 × 10 −9 4