-
Properties of Whole Numbers I | Week 14 Topics1 Quiz
-
Properties of Whole Numbers II | Week 24 Topics1 Quiz
-
Properties of Whole Numbers III | Week 35 Topics1 Quiz
-
Indices | Week 42 Topics1 Quiz
-
Laws of Indices | Week 55 Topics1 Quiz
-
Whole Numbers & Decimal Numbers | Week 64 Topics1 Quiz
-
Standard Form | Week 73 Topics1 Quiz
-
Significant Figures (S.F) | Week 84 Topics1 Quiz
-
Fractions, Ratios, Proportions & Percentages I | Week 96 Topics1 Quiz
-
Fractions, Ratios, Proportions & Percentages II | Week 104 Topics1 Quiz
-
Fractions, Ratios, Proportions & Percentages III | Week 113 Topics1 Quiz
-
Approximation & Estimation | Week 121 Topic1 Quiz
Topic Content:
- Writing Small Numbers
- End of Lesson Evaluation Questions
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
Worked Example 6.4.1:
Write these as decimal fractions and group the digits in three where necessary.
a. 10 millionth
b. 25 hundredth
c. 68 × 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 × 10
b. one thousand
c. one thousandth
d. ten thousandth
e. ten thousand
2. Change the following powers of 10 to figures:
a. 10-5
b. 10-2
c. 103
d. 105
e. 107
3. Find the value of the following:
a. 2.3 × 102
b. 5.346 × 103
c. 78 × 10-3
d. 80 × 0.08 × 10-5
e. 0.0001 × 105
View Answers4. Group the following numbers in three and write them in words.
a. 12057094
b. 21633462
View Answers5. 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 Answers6. 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 × 10-4
f. \( \frac{225}{100000}\)
View Answers