Integers, and Ratio & Proportion - Review

Integers, and Ratio & Proportion - Review

By Aldwin Martinada

INTEGERS

Positive and negative whole numbers.

Multiple Select

Which of the following word/words tell us positive directions?

Select all that applies.

• East

• Upward

• Below

• Increase

• backward

Multiple Select

Which of the following word/words signifies negative integers?

Select all that applies.

• withdraw

• incorrect

• forward

• rising

• backward

Multiple Choice

Zero is a ______

• positive integer

• negative integer

• neither

Integers in Real-World

Choose the integer and the word that tells us the sign of the integer.

Multiple Select

20 km to west of Metro Manila

• +20

• -20

• west

• km

Multiple Select

A deposit amounting to Php3500

• +3500

• -3500

• deposit

• amounting

Multiple Select

33 correct answers in SA1 in Mathamatics

• +33

• -33

• correct

• answers

INTEGERS

Positive and negative whole numbers.

Integers on Number Line

Type <. > or = or you may type them in words.

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Comparing Integers

Type <. > or = or you may type them in words.

​	​Like Integers	​Unlike Integers
Multiplication or Division	​Operation: Multiply/Divide Sign of the Answer: + positive	​Operation: Multiply/Divide Sign of the Answer: - negative
​Addition or Subtraction remember in Subtraction of integers to apply the K.O.C or Vertical Line Rules before your proceed to FAR or following addition rule of integers	​​Operation: Add the numbers Sign of the Answer: Copy the sign of the like integers (both positive then positive, both negative then negative)	​​Operation: Subtract the numbers Sign of the Answer: Copy the sign of the higher group (more positive, then positive or more negative, then negative)

General Rules on Operation of Integers

Simplifying Ratio

Read and analyze the following situation. Find and always simplify your final ratio.

Types of Proportion

Identify what type of proportion is applicable between the two quantities being compared.

Multiple Choice

Speed of a car to the Time Duration travelled at a certain distance.

• Direct Proportion

• Indirect/Inverse Proportion

Multiple Choice

Amount of Ingredients to the No. of Servings.

• Direct Proportion

• Indirect/Inverse Proportion

Multiple Choice

Distance reach to the No. of Hours travelled at a certain speed.

• Direct Proportion

• Indirect/Inverse Proportion

Multiple Choice

No. of Workers to the No. of Hours/Days to finish a certain task.

• Direct Proportion

• Indirect/Inverse Proportion

Proportion Word Problem

Direct or Indirect/Inverse Proportion

Steps in Solving Word Problems involving Direct and Indirect/Inverse Proportion Identify the two quantities being compared Identify the two ratios in proportion form Identify the TYPE of Proportion (Direct or Indirect/Inverse) Identify the proper METHOD according to type (Cross-Product or Parallel-Product) Solve accordingly and do not forget to put the correct unit on your final answer.

Multiple Choice

1. Mickey already reached 50 km after 2 hours. How many kilometers can he reach in all if he continuously drive at the same speed for 3 more hours?

a. What are the two quantities compared?

• distance reached to no. of hours drove

• distance reached to the speed of the car

Multiple Choice

1. Mickey already reached 50 km after 2 hours. How many kilometers can he reach in all if he continuously drive at the same speed for 3 more hours?

a. What is the two ratios in the form of equality(proportion)?

• 50 km to 2 hours = x km to 5 hours

• 50 km to 2 hours = x km to 3 hours

Multiple Choice

1. Mickey already reached 50 km after 2 hours. How many kilometers can he reach in all if he continuously drive at the same speed for 3 more hours?

a. What type of Proportion is shown in the problem?

• Direct Proportion

• Indirect/Inverse Proportion