This document contains a homework assignment for a mathematics course consisting of 17 problems covering various mathematical topics. Students are asked to perform calculations involving fractions, decimals, exponents, word problems, rounding, order of operations, and more. They are also asked to write a short reflection on their feelings about mathematics. The homework is due on November 16, 2011 and should be submitted in the assignment box near the 4th floor elevator of building E1.

1. 1106100 Mathematics for Life 2/2011
Homework 1
Homework 1
1106100 Mathematics for Life 2/2011
(Due on Wednesday, 16 November 2011, 16:00)
**Submit homework in assignment box near 4th floor elevator of E1 Building ONLY **
Mathematical language
1. Write each verbal description in math symbol.
a) The sum of fifty and seventy-five
b) The difference of 6 from 25
c) Twice the number x more than 5
d) The product of four and the sum of twelve and five
e) The difference of nine and five
f) m multiply by 5
g) r increased by ten thousand
h) The sum of four and the product of eleven and twelve
i) 7 plus 10 times 3
j) The quotient of 20 and 4
k) The quotient of 7 divided by the product of 2 and 13
l) fifty-three divided by the difference of p from sixty-four
2. Translate these math symbols to verbal description (in English sentence). For
example, 2 + 3 =5 would be translated to “the sum of two and three is equal to five”.
a) 15 + 2 = 17
b) a − 3 ≥ 2n
c) 21÷7 ≠ 7 ÷21
10 1
d) <
m 3
e) 3×5 – 9 = 6
a −b
f) ≤ ab
4
1
g) x =
10
Order of operations
3. Perform the indicated operations
a) 8 + 2×3
b) 16 – 6 ÷3
c) 120 ÷ (15×2)
d) 100÷10×2
e) 9×(3+4)
f) 9×4+8×5
g) 2×4 + 27÷3 – 25×2
h) 25÷5×2+18÷3
i) 4×(12 – 7) ÷ 2
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2. 1106100 Mathematics for Life 2/2011
Homework 1
Fractions and decimals
Show the detail of calculation in each problem.
4. Write each of the improper fractions as a mixed number or a whole number.
15 120 27 455
a) b) c) d)
2 8 16 10
5. Write each of the mixed numbers as an improper fraction.
4 2 1 11
a) 3 b) 5 c) 25 d) 3
15 7 2 14
6. Change the fractions and mixed numbers into decimal fractions by performing long
division.
7 7 3 2
a) b) c) 4 d) 3
8 9 5 7
Rounding and estimation
7. Round the numbers to the degree of accuracy
a) 123.621; one decimal places
b) 13561.2356 ; nearest hundredth
c) 429.999 ; nearest ten
d) 14.56 ; nearest whole number
e) 694.3814 ; nearest tenth
f) 95309.7839 ; nearest thousand
g) 1.237 ; two decimal place
h) 13.285 ; nearest unit
Exponents and scientific notation
8. Write each of numbers without using exponents. For example, 52=5×5 = 25 and
1.2×103 = 1.2×1000= 1200.
a) 35
b) 73
c) 108
d) 10-5
e) 1.278×103
f) 5.3×10-7
9. Write each of numbers in scientific notation.
a) 45,600,000
b) 0.00000000673
c) 89
d) 5,846,000,000
e) 0.0184
f) 0.0000763
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3. 1106100 Mathematics for Life 2/2011
Homework 1
10. The diameter of some bacteria is about 0.000002 meter. Write the diameter in
scientific notation.
11. The distance from the Earth to the moon is about 384,000,000 meters. Write the
distance from the Earth to the moon in scientific notation.
Applications
12. Suppose you buy a 30 Baht-cup of coffee every day. How much money do you
spend for this in a whole year (365 days) ?
13. If you are paid 18,000 baht per month, what is your daily salary (assume that
there are 30 days in a month)?
14. Suppose you go out with two friends for the dinner. Then you order a large size
of the pizza which is divided into eight equal pieces and ten wings of the
chicken. The price of the large dish pizza is 300 baht and the price of five wings is 50
baht. If you eat only one-fourth of the pizza dish and two wings. To be fair, how
much you have to pay for this meal?
15. If you do part time job at the coffee shop over the weekend (on Saturday and
Sunday), you get paid 47 Baht per hour and you work 6.5 hours for each day.
Estimate the money that you will receive when you work at coffee shop as a part time
job over the weekend in one month.
16. To lose 1 kilogram, you theoretically need to burn or cut back on 3850 calories.
Estimate the weight lost in kilogram in one year, if you can reduce approximately 100
calories every day (maybe by walking or cutting off some unnecessary food/drink
17. Write down how you feel about Mathematics.
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