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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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Small numbers are numbers less than zero and are called decimal fractions.

e.g  0.000 065,  0.004 etc.

To write small numbers, group them in three from the decimal point to the right.

e.g. 0.000000125  can be written as  0.000 000 125  

Example 1

Write these as decimal fractions and group the digits in three where necessary.

a. 10 millionth 
b. 25 hundredth
c. 68 x 10-7
d. \( \frac{150}{1000000} \)

Solution

a. 10 millionth = \( \frac{10}{1,000,000}\\ = \scriptsize 0.00001\)

b. 25 hundredth = \( \frac{25}{100} \\= \scriptsize 0.25 \)

c. 68 x 10-7 = \( \frac{68}{10,000,000} \\= \scriptsize 0.0000068 \)

d. \( \frac{150}{1,000,000} \\ = \scriptsize 0.00015\)

Evaluation Questions:

1.    Express  the following  as powers of  10

a.    10 x 10
b.    one thousand 
c.    one thousandth
d.    ten thousandth
e.    ten thousand

View Answers

2.    Change the following powers of 10 to figures:

a.    10-5
b.    10-2
c.    103
d.    105
e.    107

View Answers

3. Find the value of the following 

a.    2.3 x 102

b.    5.346 x 103

c.    78 x 10-3

d.    80 x 0.08 x10-5

e.    0.0001 x 105

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4.    Group the following numbers in three and write them in words.

a.    12057094

b.    21633462

View Answers

5    Write the following in figures

a.    Sixty eight million one hundred thousand and one

b.    Three billion, one hundred and two million three hundred thousand, and sixty seven

View Answers

6. Write the following  decimal fraction and group the digits in three

a.    13 thousandth    

b.    2 hundredth

c.    3 thousandth

d.    \( \frac{3}{10000}\)

e.    38 x 10-4

f.    \( \frac{225}{100000}\)

View Answers

Responses

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Evaluation Questions 1

Answers:

a. \( \scriptsize 10^2 \)

b. \( \scriptsize 10^3 \)

c. \( \scriptsize 10^{-3} \)

d. \( \scriptsize 10^{-4} \)

e. \( \scriptsize 10^{4} \)

Evaluation Questions 2

Answers:

a. 0.00 001

b. 0.01

c. 1000

d. 100 000

e. 10,000, 000

Evaluation Questions 3

Answers:

a. 230

b. 5346

c. 0.078

d. 0.000064

e. 10

Evaluation Questions 4

Answers:

a. 12 057 094 – Twelve million fifty-seven thousand and ninety-four.

b. 21 633 462 – Twenty-one million six hundred and thirty-three thousand four hunderd and sixty-two.

Evaluation Questions 5

Answers:

a.  68 100 001

b. 3 102 300 067

Evaluation Questions 6

Answers:

a. \( \frac{13}{1000} = \scriptsize 0.013\)

b. \( \frac{2}{100} = \scriptsize 0.02\)

c. \( \frac{3}{1000} = \scriptsize 0.003\)

d. 0.0003

e. 0.0004

f. 0.002 25

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