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JSS2: MATHEMATICS - 1ST TERM

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  1. Properties of Whole Numbers I | Week 1
    4 Topics
    |
    1 Quiz
  2. Properties of Whole Numbers II | Week 2
    4 Topics
    |
    1 Quiz
  3. Properties of Whole Numbers III | Week 3
    5 Topics
    |
    1 Quiz
  4. Indices | Week 4
    2 Topics
    |
    1 Quiz
  5. Laws of Indices | Week 5
    5 Topics
    |
    1 Quiz
  6. Whole Numbers & Decimal Numbers | Week 6
    4 Topics
    |
    1 Quiz
  7. Standard Form | Week 7
    3 Topics
    |
    1 Quiz
  8. Significant Figures (S.F) | Week 8
    4 Topics
    |
    1 Quiz
  9. Fractions, Ratios, Proportions & Percentages I | Week 9
    6 Topics
    |
    1 Quiz
  10. Fractions, Ratios, Proportions & Percentages II | Week 10
    4 Topics
    |
    1 Quiz
  11. Fractions, Ratios, Proportions & Percentages III | Week 11
    3 Topics
    |
    1 Quiz
  12. Approximation & Estimation | Week 12
    1 Topic
    |
    1 Quiz



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Example 1

Given that x = 85 000, and y = 25 000 find the value of

a. \( \scriptsize x \: + \: y \)

b. \( \scriptsize x \: \times \: y \)

c. \( \scriptsize x \: \div \: y \)

Give your answer in standard form.

Solution

a. x  + y    =   85 000  +  25 000

                     =   170 000

                     =  1.7 x 105

b. x ×  y   =   85 000  x  25 000

                  =  8.5 x 104   x  2.5 x 104

                  = 8.5 x 2.5 x 104 x 104

                  = 21. 25 x 104 x 104

                  = 21.25 x 104+4

                 = 21. 25 x 108

                 = But 21.25 = 2.125 x 101

                  = (2.125 x 101) x 108

                  = 2.125 x 101+8

                  = 2.125 x 109

 c. x ÷ y   = \( \frac{x}{y} \\= \frac{85\not{0}\not{0}\not{0}}{25 \not{0}\not{0}\not{0}} \\= \frac{85}{25} \\= \frac{17}{5} \\ = \scriptsize 3.4 \\ = \scriptsize 3.4 \: \times \: 10^0\)  

Example 2

The population of Nigeria is about 145 million and the population of Britain is about 58 million. Write these numbers in standard form and find the difference in population between the two countries.

Solution

Nigeria = 145 million

= 145 x 1 000 000

= 145  x 106

but 145 = 1.45 x 102

Therefore,

= (1.45 x 102) x 106

= 1.45 x 102+6

= 1.45 x 108

Britain = 58  million

= 58 x 1 000 000

= 58 x 106

but 58 = 5.8 x 101

Therefore,

= (5.8 x 101) x 106

= 5.8 x 101+6   

=  5.8 x 107

Difference in population  =  145 million  – 58 million 

= 87 million

= 87 x 1 000 000

= 87 x 106

but 87 = 87 x 101

Therefore,

= (8.7 x 101) x 106 

= 8.7 x 101+6

= 8.7 x 107

Evaluation Questions:

1. Give the following to

i.    1.sf
ii.    2s.f
iii.    3s.f
iv.    4.s.f

a.    289 959
b.    25.5299

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2. Give the following to: 

i.    1s.f
ii.    2s.f
iii.    3s.f
iv.    4s.f.

a.    0.000 058 819
b.    0.070 938
c.    0.45734

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3.    Round off the following to the nearest whole number

a.    84. 27
b.    580. 718
c.    0.755
d.    19.99

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4.    Round off each of the following:

a.    ₦259.85 to the nearest 
b.    539.35mm to the nearest mm
c.    569.78m to the nearest 100m
d.    7825.2 litres to the nearest 10 litres

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5a.    The distance of the earth from the sun is 148 729 440 000 m.  Express this distance in km, in standard form, giving your answers correct to 3.s.f.

b.    The universal constant of gravitation is given as G = 0.000 000 000 066 73m3/kg.s2.  Write  this number in standard form correct to 2 s.f..

c.    ₦275 million was used to buy 50 houses. If the prices of thee houses are the same. Calculate the cost of one house, giving your answer correct to 1 s.f.

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Responses

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Evaluation Questions (1)

Answers:

a.
i. 300  000
ii. 290 000
iii. 290 000
iv. 290 000

b.
i. 30
ii. 26
iii. 25.5
iv. 25.53

Evaluation Questions (2)

Answers:

a.
i. 0.000 06
ii. 0.000 059
iii. 0.000 0588
iv. 0.000 058 82

b.
i. 0.07
ii. 0.071
iii. 0.070 9
iv. 0.07094

c.
i. 0.5
ii. 0.46
iii. 0.457
iv. 0.4573

Evaluation Questions (3)

Answers:

a. 84

b. 581

c. 1

d. 2o

Evaluation Questions (4)

Answers:

a. ₦260

b. 539mm

c. 600m

d. 7830 litres

Evaluation Questions (5)

Answers:

a. 149 000 000 km (3s.f)
1.49 x 108

b. 6.67 x w-11 m3/kg.s

c. ₦5,500,000   =   ₦6,000,000 to 1s.f

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