Rational Numbers Study Guide

​ADDITIONAL RESOURCES

​​You may visit the links below to view video lessons about our topic

​​https://youtu.be/xROys_YX3-s

​https://youtu.be/w4avbJj58Kg

https://youtu.be/DdrW_2Gdlng

​https://youtu.be/BYJ3qQDW8ck

​https://youtu.be/zoVUxArZ9Pg

​https://youtu.be/RMwuyKzWXck

​https://youtu.be/9bz_30UfQQE

​https://youtu.be/Le1gvVE2QXg

​https://youtu.be/FMxsBXrM0G4

​https://youtu.be/GaERN0VCiq8

​https://youtu.be/dmxTbMfe6hM

Multiple Choice

It represents equal parts of a whole or a collection.

• Decimal

• Fraction

• set

• percent

Multiple Choice

It is a number whose whole number part and the fractional part is separated by a decimal point.

• Decimal

• Fraction

• set

• percent

Multiple Choice

It is a point or dot we use to separate the whole number part from the fractional part of a decimal number.

• fraction form

• percentage

• decimal point

• set of point

Multiple Choice

Express 0.25 to fraction.

• 1/2

• 1/3

• 1/4

• 2/3

Multiple Choice

Express 1/2 to decimal form.

• 0.75

• 0.25

• 0.125

• 0.50

Multiple Choice

Which of the following are similar fractions?

• 1/2, 1/3, 1/4

• 1/3, 2/3, 3

• 1/7, 2/3, 3/4

• 1/9, 4/9, 5/9

Multiple Choice

What is the least common denominator of 1/3, 1/2 , 1/4 ? 

• 6

• 8

• 12

• 24

Multiple Choice

Subtract 1/6 from 5/6 ?

• $$\frac{1}{6}$$  

• $$\frac{1}{2}$$  

• $$\frac{2}{3}$$  

• $$\frac{1}{3}$$  

Multiple Choice

Nancy bought  $$4\frac{3}{4}$$   kilos of chicken and give  $$1\frac{1}{2}$$   kilos to her friend. How many kilos of chicken was left?

• $$3\frac{1}{4}$$  

• $$4\frac{1}{3}$$  

• $$3\frac{3}{4}$$  

• $$4\frac{1}{4}$$  

Multiple Choice

Find the sum of 15.789, 2.51 and 6.5.

• 2.4799

• 24.799

• 247.99

• 2479.9

Multiple Choice

Find the greatest common factor of the two numbers:

7 and 14

• 7

• 14

• 21

• 28

Multiple Choice

Find the greatest common factor of the two numbers:

12 and 32

• 4

• 14

• 21

• 28

Fill in the Blank

Perform the indicated operations on integers.

(-7) + (+2)

Fill in the Blank

Perform the indicated operations on integers.

(-7) – (-3)

Fill in the Blank

Perform the indicated operations on integers.

(+3) x (-1)

Multiple Choice

Express each Fraction in Decimal form. Round off your answers into thousandths place

$$\frac{3}{4}$$  

• 0.75

• 0.25

• 0.50

• 1

Multiple Choice

Express each Fraction in Decimal form. Round off your answers into thousandths place

$$\frac{9}{5}$$  

• 0.75

• 0.25

• 0.50

• 1.8

Multiple Choice

Express each Fraction in Decimal form. Round off your answers into thousandths place

$$\frac{7}{33}$$  

• 0.75

• 0.212

• 0.50

• 1.8

Multiple Choice

Express each Fraction in Decimal form. Round off your answers into thousandths place

$$\frac{17}{11}$$  

• 0.75

• 0.212

• 0.50

• 1.54

Multiple Choice

Express each Fraction in Decimal form. Round off your answers into thousandths place

$$\frac{17}{20}$$  

• 0.75

• 0.212

• 0.85

• 1.54

Multiple Choice

Express each Decimal number in Fraction in lowest terms or a mixed number in simple form:

0.15

• $$\frac{3}{20}$$  

• $$1\frac{3}{20}$$  

• $$\frac{20}{3}$$  

• $$\frac{30}{2}$$  

Multiple Choice

Express each Decimal number in Fraction in lowest terms or a mixed number in simple form:

0.225

• $$\frac{9}{40}$$  

• $$1\frac{3}{20}$$  

• $$\frac{20}{3}$$  

• $$\frac{30}{2}$$  

Multiple Choice

Express each Decimal number in Fraction in lowest terms or a mixed number in simple form:

2.33

• $$\frac{9}{40}$$  

• $$2\frac{1}{3}$$  

• $$\frac{20}{3}$$  

• $$\frac{30}{2}$$  

Multiple Choice

Express each Decimal number in Fraction in lowest terms or a mixed number in simple form:

9.08

• $$\frac{9}{40}$$  

• $$9\frac{2}{25}$$  

• $$\frac{20}{3}$$  

• $$\frac{30}{2}$$  

Multiple Choice

Express each Decimal number in Fraction in lowest terms or a mixed number in simple form:

4.404

• $$\frac{9}{40}$$  

• $$4\frac{101}{250}$$  

• $$\frac{20}{3}$$  

• $$\frac{30}{2}$$  

Multiple Choice

Perform the indicated operations and express your answer in simplest form.

$$\frac{2}{9}+\frac{3}{9}=$$  

• $$\frac{5}{9}$$  

• $$\frac{5}{18}$$  

• $$\frac{9}{5}$$  

• $$\frac{18}{5}$$  

Multiple Choice

Perform the indicated operations and express your answer in simplest form.

$$\frac{7}{9}-\frac{1}{9}=$$  

• $$\frac{5}{9}$$  

• $$\frac{5}{18}$$  

• $$\frac{2}{3}$$  

• $$\frac{18}{5}$$  

Multiple Choice

Perform the indicated operations and express your answer in simplest form.

$$\frac{5}{11}+\frac{4}{11}=$$  

• $$\frac{5}{9}$$  

• $$\frac{5}{18}$$  

• $$\frac{9}{11}$$  

• $$\frac{18}{5}$$  

Multiple Choice

Perform the indicated operations and express your answer in simplest form.

$$\frac{4}{9}-\frac{1}{4}=$$  

• $$\frac{5}{9}$$  

• $$\frac{5}{18}$$  

• $$\frac{7}{36}$$  

• $$\frac{18}{5}$$  

Multiple Choice

Perform the indicated operations and express your answer in simplest form.

$$9\frac{5}{7}-3\frac{2}{7}=$$  

• $$\frac{5}{9}$$  

• $$\frac{5}{18}$$  

• $$6\frac{3}{7}$$  

• $$\frac{18}{5}$$  

Fill in the Blank

Tatay cleaned the room and swept the yard before leaving the house. It took him 1/4 hour to clean his room and 2/4 hour to sweep the yard. How many hours did he

Multiple Choice

Perform the indicated operation.

$$\frac{8}{5}+\frac{4}{5}=$$  

• $$2\frac{2}{5}$$  

• $$2\frac{1}{5}$$  

• $$1\frac{2}{5}$$  

• $$\frac{2}{5}$$  

Multiple Choice

Perform the indicated operation.

$$\frac{8}{3}-\frac{16}{9}=$$  

• $$2\frac{2}{5}$$  

• $$2\frac{1}{5}$$  

• $$1\frac{2}{5}$$  

• $$\frac{8}{9}$$  

Multiple Choice

Perform the indicated operation.

$$\frac{2}{3}-\frac{2}{5}=$$  

• $$2\frac{2}{5}$$  

• $$2\frac{1}{5}$$  

• $$1\frac{2}{5}$$  

• $$\frac{4}{15}$$  

Multiple Choice

Perform the indicated operation.

$$\frac{7}{8}-\frac{5}{6}=$$  

• $$2\frac{2}{5}$$  

• $$\frac{1}{24}$$  

• $$1\frac{2}{5}$$  

• $$\frac{4}{15}$$  

Multiple Choice

Perform the indicated operation.

$$4\frac{1}{8}-\frac{3}{4}=$$  

• $$3\frac{3}{8}$$  

• $$\frac{1}{24}$$  

• $$1\frac{2}{5}$$  

• $$\frac{4}{15}$$  

Fill in the Blank

Perform the indicated operation.

5.84 + 3.81

Fill in the Blank

Perform the indicated operation.

12.7 + 5.62

Fill in the Blank

Perform the indicated operation.

1.85 + 0.86

Fill in the Blank

Perform the indicated operation.

129.08 – 3.52

Fill in the Blank

Perform the indicated operation.

84.52 – 41.8

Fill in the Blank

Mt. Everest in the Himalayas at 8,488 km is the highest mountain in the world. The Marianas Trench in the Pacific Ocean at 11.03 km is the deepestpart of the ocean. Find the vertical distance from the top of the highest mountain in the world to the deepest part of the ocean.

Fill in the Blank

The new rate of increase per kilowatt-hour of electricity is Php0.125. What is the resulting rate if the original rate per kilowatt hour was Php 8.97?

Fill in the Blank

A serving of fish has 15.2 g of protein. A serving of beef of the same size has 22.1g. How much more protein there is in beef than in the fish?

Multiple Choice

Perform the indicated operation.

$$\frac{5}{6}\ X\ \frac{2}{3}=$$  

• $$\frac{5}{9}$$  

• $$\frac{9}{5}$$  

• $$\frac{8}{9}$$  

• $$\frac{9}{8}$$  

Multiple Choice

Perform the indicated operation.

$$7\ X\ \frac{2}{3}=$$  

• $$\frac{5}{9}$$  

• $$\frac{9}{5}$$  

• $$7\frac{2}{3}$$  

• $$\frac{9}{8}$$  

Multiple Choice

Perform the indicated operation.

$$10\frac{5}{6}\ X\ 3\frac{1}{3}=$$  

• $$\frac{5}{9}$$  

• $$\frac{9}{5}$$  

• $$36\frac{1}{9}$$  

• $$\frac{9}{8}$$  

Multiple Choice

Perform the indicated operation.

$$20\ \div\ \frac{2}{3}=$$  

• $$\frac{5}{9}$$  

• $$\frac{9}{5}$$  

• $$36\frac{1}{9}$$  

• $$30$$  

Multiple Choice

Perform the indicated operation.

$$\frac{5}{12}\ \div\ \frac{3}{4}=$$  

• $$\frac{5}{9}$$  

• $$\frac{9}{5}$$  

• $$36\frac{1}{9}$$  

• $$30$$  

Fill in the Blank

Multiply the following:

562.31 X 25

Fill in the Blank

Multiply the following:

29 103 X 1.33

Fill in the Blank

Multiply the following:

0.1234 X 0.0055

Fill in the Blank

Divide the following:

34.625 ÷ 5

Fill in the Blank

Divide the following:

80.96 ÷ 2.3