Math

A. Write the decimal that will be dictated.

1. ___________________ 3.  _______________
2. ___________________ 4.  _______________

B. Write the decimals in figures.

1. forty-eight thousandths
2. two hundred ten-thousandths
3. thirty-two ten-thousandths
4. six hundred eighty millionths
5. four million and thirty-two hundredths
6. five trillion and twenty-five ten-millionths

C. Give the place value of 8 in the following.

1. 16. 058 004 ___________________________________
2. 27. 311 428 7 ___________________________________
3. 0. 053 976 8 ___________________________________
4. 0. 674 281 2 ___________________________________

D. Round the following numbers.

1. 7. 58673 (tenths) _________________
2. 40.9876 (tenths) _________________
3. 0. 20654 (hundredths) _________________
4. 305.370253 (ten-thousandths) _________________
5. 0. 120563581 (hundred millionths) _________________
6. 513.6052 (ones) _________________
7. 4099.9356 (thousandths) _________________
8. 18.00426337 (millionths) _________________

E. Compare the following.

1. 2.3 ______ 2.2986
2. 0.3112 ______ -0.3121
3. 0. 40598 ______ 0.412
4. 0.00815 ______ 0.01850

F. Arrange the following  Number them.

Descending
_____ 6.0009 _____ -767.776
_____ 6.0090 _____ -677.667
_____ 6.09009 _____ -776.776
_____ 6.000009 _____ -776.667

Ascending
_____ 7.3 _____ -100.7 _____ -0.3
_____ -9.1 _____ -5.6 _____ 30.3
_____ -3.6 _____ 6.4 _____ -0.33
_____ -2.78 _____ -88.5 _____  3.3
_____ 7.03 _____ -78.4 _____-33



G. Perform the indicated operations.

_____ 1.  45.78 + 1.45 + -47.3 _____ 5. (22.7) x (-0.18)
_____ 2.  -7.68 + -4.756 + 12.976 _____ 6.  -88.7 x -1.15
_____ 3.  19.78 – (-55.98) _____ 7.  -144  -0.06
_____ 4. -11.135 – 16.35 _____ 8.  -0.02904  0.04

H. Perform the indicated operations. Choose the answers from the list below and write the letter only. (Supplementary exercises)

_____ 1.  0.132 + 0.523 + (-0.432) _____ 7.  0.9 x 0.4
_____ 2. 0.762 + 0.67 _____ 8.  -3.9 x 0.36
_____ 3.  5.3 + (-2.7) + 0.42 _____ 9. -0.09 x -0.12
_____ 4.  0.762 – 0.301 _____ 10.  -8.1  1.2
_____ 5.  57.265 – 22.092 _____ 11.  30.96  -1 2
_____ 6. 0.43 – 6.72 _____ 12. -355.2 -3.7






I. Put the decimal point in the correct place and annex the correct zeros if necessary to make the product true.

1. 0.40 x 0.35 = 1 4
2. .49 x .61 =  2 9 8 9
3. .434 x 5.18 =  2 2 4 8 1 2
4. 17.612  3.4 =  5 1 8
5. 88.2  8.4 =  1 0 5

J. Express the following fractions as decimals Tell whether the quotient is terminating or repeating. Write T if terminating and R if repeating.

1. 4/5 ____________ ____________
2. 1/9 ____________ ____________
3. 7/10 ____________ ____________
4. 47/50 ____________ ____________
5. 7/15 ____________ ____________
6. 53/60 ____________ ____________
7. 4/16 ____________ ____________
K. Translate the following decimals as a fraction in lowest terms.

1. 0.25 _______
2. 0.1515… _______
3. 0.351 _______
4. 0.07… _______
5. 4.27 _______
6. 8.24 _______
7. 0.63 _______
8. 0.201 _______

L. Express the following ratios in simplest form.

1.  8 days to weeks _______ 6. 18 wins to 24 games ______
2. 3 years to 8 months _______ 7. 120 sec to 1.5 min ______
3. 45 min to 3 hours _______ 8.  1.25m to 350 cm ______
4.  80 cm to 12 dm _______ 9. 3 scores to 1 century ______
5.  150 g to 2 kg _______ 10. 4525 m to 7 km ______

M. Express the following rates in simplest form.

1. 1 200 words/ 5 min _______________
2. 160 beads/2 necklaces _______________
3.  100 meters /30 minutes _______________
4. 500km/5 hours _______________

N. Write P if the statement is a proportion, otherwise, write N.

_____ 1. 20:10 = 10:5 _____ 4.  12:15= 30:25
_____ 2.  3:5 = 30:50 _____ 5. 3/2: ¾ = 5/4 : 7/8
_____ 3. 12:13 = 24:39 _____ 6.  0.06: 0.16 = 0.15:0.4

O. Find the missing term in equal proportions.

1. 5:N  = 20:24 _______ ______ 5.  2/5 : 1/3 = N: 10/21
2. 4:5  = 48: N _______ ______ 6. 5:15 =  2 ½ : N
3. 8:15  = 0:75 _______ ______ 7.  8.2: 41 = N: 5
4. 24:16 = N:12 _______

P. Identify the terms.

1. a comparison of two quantities that have the same units
2. a comparison of two quantities with different units.
3. the equality between two ratios
4. the set of digits in a repeating decimal
5. a decimal obtained when there is no remainder after completing the division
6. the outer terms in a proportion are called __
7. a proportion showing a relationship that as one quantity increases the other decreases
8. a proportion that is used if there is unequal division or partition of objects

Q. Identify the proportion. Write D if it is direct, I if indirect or inverse and P if partitive.

_____ 1.  The sum of three numbers is 720. The ratio of the numbers is2:3:5. What are the numbers?

_____ 2. A contractor hired 150 workers to pave a road in 30 days. How many workers would he hire to do the same work in 20 days?


_____ 3.  At a camp, food provisions are enough to feed 40 boys for 6 weeks. How many weeks would the food last if 60 boys came?


_____ 4. Jade buys 3 meters of cloth for P780. How much does she pay for 4 meters of cloth?

_____ 5.  I have enough money to have a vacation of 12 days if I spend P500 a day. For how many days will my money last if I decide to spend only P400 a day?


_____ 6.  A car is able to travel 210 km in 3 hours. How far can it travel in 5 hours?

R. Write an equation to the unknown using N for the unknown. Solve the following problems. You may use calculator.

1. Five different pieces of woods are stacked in a  pile. They are 3.5cm, 2 cm, 7.5 cm, 1.2 cm and 4.3 cm thick. What is the average of the pieces of wood?








2. A swimming pool 10 meters long and7 meters wide is to be filled with water to a depth of 1.5 meters. How many cubic meters of water will be used?









3. A person departing from Hongkong must pay a head tax of P28.50. A group of travelers paid a total of P7 125 in head taxes. How many people were in the group?









4. Albert bought a school bag at P399.95, a notebook at P17.50 each and a pencil at P7.75 each. He bought 7 notebooks and 6 pencils. How much change should he get from two P500 bills?









5. Jay encashed his check worth P595.75. Then he bought two magazines for P55.25 each, a book for P85.99 and 3 ballpens for P49.75. The rest of the money was spent for 5 notebooks. How much is the cost of each notebook?