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Adding & subtracting with negatives on the number line

Discover 10 Fun Uses of Integers in Daily Life and Play with Number Lines!

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Discover 10 Fun Uses of Integers in Daily Life and Play with Number Lines!
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Shaivi Ramisetti

@shaivi711

·

73 Followers

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Integers and graphing are essential concepts in mathematics, with applications in real-world situations. This guide explores how to use integers in real-world applications, how to graph integers on a number line, and understanding absolute value in math.

• Integers include positive and negative whole numbers, as well as zero.
• Graphing integers on number lines helps visualize their relationships.
• Absolute value represents the distance of a number from zero on a number line.
• Comparing and ordering integers involves understanding their position on a number line.
• Rational numbers can be expressed as terminating or repeating decimals.
• Comparing and ordering rational numbers requires converting them to a common form.

5/10/2023

267

<h2 id="essentialquestion">Essential Question</h2> <p>How are integers and absolute value used in real-world situations?</p> <h3 id="intege

View

Comparing and Ordering Integers

This section teaches how to compare and order integers using number lines and by comparing signs and magnitudes.

Highlight: When comparing integers, remember that positive numbers are greater than negative numbers, and numbers further right on the number line are greater.

Example: Compare -2 and 6 Solution: -2 < 6 because -2 is to the left of 6 on the number line.

The page also introduces real-world applications of comparing integers:

Example: Comparing low temperatures in different cities using inequalities.

<h2 id="essentialquestion">Essential Question</h2> <p>How are integers and absolute value used in real-world situations?</p> <h3 id="intege

View

Converting Fractions to Decimals

This page provides more examples of converting fractions to decimals, including negative fractions and mixed numbers.

Example: Write -20/11 as a decimal Solution: -1.81 (repeating)

Example: Write 2 3/11 as a decimal Solution: 2.27 (repeating)

The section concludes with a real-world application problem involving strike averages in bowling, demonstrating the practical use of decimal conversions.

<h2 id="essentialquestion">Essential Question</h2> <p>How are integers and absolute value used in real-world situations?</p> <h3 id="intege

View

Ordering Integers

This section expands on ordering multiple integers from least to greatest.

Two methods are presented:

  1. Using a number line
  2. Comparing signs and values

Example: Order 18, 0, -10, and 12 from least to greatest Solution: -10, 0, 12, 18

This approach reinforces the visual representation of integers on a number line and the concept of comparing negative and positive numbers separately.

<h2 id="essentialquestion">Essential Question</h2> <p>How are integers and absolute value used in real-world situations?</p> <h3 id="intege

View

Absolute Value

This section explores the concept of absolute value and its representation on a number line.

Definition: Absolute value is the distance of a number from zero on a number line, always resulting in a positive value or zero.

The page explains two methods for finding the opposite of a number:

  1. Using a number line
  2. Using symbols

Example: The opposite of -12 is 12, as they are equidistant from zero on opposite sides of the number line.

Vocabulary: The absolute value symbol is represented by two vertical bars | |.

The section includes examples of evaluating absolute value expressions, reinforcing the concept that absolute value is always positive or zero.

<h2 id="essentialquestion">Essential Question</h2> <p>How are integers and absolute value used in real-world situations?</p> <h3 id="intege

View

Integers and Graphing

This section introduces the concept of integers and their real-world applications. It explains how to represent data using integers and graph them on number lines.

Definition: An integer is a positive whole number, its opposite, or zero.

Example: To represent 12 feet below sea level, use the integer -12. Zero represents sea level in this context.

Highlight: Positive integers represent data greater than zero, while negative integers represent data less than zero.

The page demonstrates how to graph integers on horizontal and vertical number lines, emphasizing the importance of zero as a reference point.

Example: To graph the set of integers (-3, 1, 0) on a number line, plot each point in relation to zero.

<h2 id="essentialquestion">Essential Question</h2> <p>How are integers and absolute value used in real-world situations?</p> <h3 id="intege

View

Evaluating Absolute Value Expressions

This page provides additional examples of evaluating absolute value expressions, including more complex calculations.

Example: Evaluate |-12| + |7| Solution: 12 + 7 = 19

Example: Evaluate |1| + |-7| - |9| Solution: 1 + 7 - 9 = -1

These examples demonstrate how to handle multiple absolute value terms within a single expression, emphasizing the importance of understanding absolute value in math questions.

<h2 id="essentialquestion">Essential Question</h2> <p>How are integers and absolute value used in real-world situations?</p> <h3 id="intege

View

Comparing and Ordering Rational Numbers

This section teaches how to compare decimals and fractions, and how to order rational numbers.

Highlight: When comparing rational numbers, it's important to convert them to the same form (either all fractions or all decimals) for accurate comparison.

The page demonstrates two methods for comparison:

  1. Graphing on a number line
  2. Converting to equivalent forms and comparing numerically

Example: Compare 0.4 and 1.1 Solution: 0.4 < 1.1 because 0.4 is to the left of 1.1 on the number line.

<h2 id="essentialquestion">Essential Question</h2> <p>How are integers and absolute value used in real-world situations?</p> <h3 id="intege

View

Ordering Rational Numbers

This page expands on ordering rational numbers, including a mix of fractions and decimals.

Example: Order the set (-3 5/12, -3.25, -3.3) from least to greatest Solution: -3 5/12, -3.3, -3.25

The process involves:

  1. Converting fractions to decimals
  2. Graphing all numbers on a number line
  3. Ordering from left to right on the number line

This approach reinforces the visual representation of rational numbers and their relationships, which is essential for understanding integers in real life situations worksheets.

<h2 id="essentialquestion">Essential Question</h2> <p>How are integers and absolute value used in real-world situations?</p> <h3 id="intege

View

Terminating and Repeating Decimals

This page introduces the concepts of terminating and repeating decimals as representations of rational numbers.

Vocabulary:

  • Terminating decimal: A decimal form of a rational number that ends.
  • Repeating decimal: A decimal form of a rational number where a group of digits repeats indefinitely.
  • Rational number: Any number that can be written as a fraction.

Example: Write 2/11 as a decimal Solution: 0.18 (repeating)

The section also introduces bar notation to indicate repeating decimal patterns.

Highlight: Understanding these concepts is crucial for real life applications of integers in class 7 and beyond.

<h2 id="essentialquestion">Essential Question</h2> <p>How are integers and absolute value used in real-world situations?</p> <h3 id="intege

View

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Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

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Knowunity is the # 1 ranked education app in five European countries

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Students use Knowunity

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Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying

Subjects

/

Arithmetic

/

Negative numbers

/

Adding & subtracting with negatives on the number line

Discover 10 Fun Uses of Integers in Daily Life and Play with Number Lines!

user profile picture

Shaivi Ramisetti

@shaivi711

·

73 Followers

Follow

Integers and graphing are essential concepts in mathematics, with applications in real-world situations. This guide explores how to use integers in real-world applications, how to graph integers on a number line, and understanding absolute value in math.

• Integers include positive and negative whole numbers, as well as zero.
• Graphing integers on number lines helps visualize their relationships.
• Absolute value represents the distance of a number from zero on a number line.
• Comparing and ordering integers involves understanding their position on a number line.
• Rational numbers can be expressed as terminating or repeating decimals.
• Comparing and ordering rational numbers requires converting them to a common form.

5/10/2023

267

 

7th

 

Arithmetic

34

<h2 id="essentialquestion">Essential Question</h2> <p>How are integers and absolute value used in real-world situations?</p> <h3 id="intege

Comparing and Ordering Integers

This section teaches how to compare and order integers using number lines and by comparing signs and magnitudes.

Highlight: When comparing integers, remember that positive numbers are greater than negative numbers, and numbers further right on the number line are greater.

Example: Compare -2 and 6 Solution: -2 < 6 because -2 is to the left of 6 on the number line.

The page also introduces real-world applications of comparing integers:

Example: Comparing low temperatures in different cities using inequalities.

<h2 id="essentialquestion">Essential Question</h2> <p>How are integers and absolute value used in real-world situations?</p> <h3 id="intege

Converting Fractions to Decimals

This page provides more examples of converting fractions to decimals, including negative fractions and mixed numbers.

Example: Write -20/11 as a decimal Solution: -1.81 (repeating)

Example: Write 2 3/11 as a decimal Solution: 2.27 (repeating)

The section concludes with a real-world application problem involving strike averages in bowling, demonstrating the practical use of decimal conversions.

<h2 id="essentialquestion">Essential Question</h2> <p>How are integers and absolute value used in real-world situations?</p> <h3 id="intege

Ordering Integers

This section expands on ordering multiple integers from least to greatest.

Two methods are presented:

  1. Using a number line
  2. Comparing signs and values

Example: Order 18, 0, -10, and 12 from least to greatest Solution: -10, 0, 12, 18

This approach reinforces the visual representation of integers on a number line and the concept of comparing negative and positive numbers separately.

<h2 id="essentialquestion">Essential Question</h2> <p>How are integers and absolute value used in real-world situations?</p> <h3 id="intege

Absolute Value

This section explores the concept of absolute value and its representation on a number line.

Definition: Absolute value is the distance of a number from zero on a number line, always resulting in a positive value or zero.

The page explains two methods for finding the opposite of a number:

  1. Using a number line
  2. Using symbols

Example: The opposite of -12 is 12, as they are equidistant from zero on opposite sides of the number line.

Vocabulary: The absolute value symbol is represented by two vertical bars | |.

The section includes examples of evaluating absolute value expressions, reinforcing the concept that absolute value is always positive or zero.

<h2 id="essentialquestion">Essential Question</h2> <p>How are integers and absolute value used in real-world situations?</p> <h3 id="intege

Integers and Graphing

This section introduces the concept of integers and their real-world applications. It explains how to represent data using integers and graph them on number lines.

Definition: An integer is a positive whole number, its opposite, or zero.

Example: To represent 12 feet below sea level, use the integer -12. Zero represents sea level in this context.

Highlight: Positive integers represent data greater than zero, while negative integers represent data less than zero.

The page demonstrates how to graph integers on horizontal and vertical number lines, emphasizing the importance of zero as a reference point.

Example: To graph the set of integers (-3, 1, 0) on a number line, plot each point in relation to zero.

<h2 id="essentialquestion">Essential Question</h2> <p>How are integers and absolute value used in real-world situations?</p> <h3 id="intege

Evaluating Absolute Value Expressions

This page provides additional examples of evaluating absolute value expressions, including more complex calculations.

Example: Evaluate |-12| + |7| Solution: 12 + 7 = 19

Example: Evaluate |1| + |-7| - |9| Solution: 1 + 7 - 9 = -1

These examples demonstrate how to handle multiple absolute value terms within a single expression, emphasizing the importance of understanding absolute value in math questions.

<h2 id="essentialquestion">Essential Question</h2> <p>How are integers and absolute value used in real-world situations?</p> <h3 id="intege

Comparing and Ordering Rational Numbers

This section teaches how to compare decimals and fractions, and how to order rational numbers.

Highlight: When comparing rational numbers, it's important to convert them to the same form (either all fractions or all decimals) for accurate comparison.

The page demonstrates two methods for comparison:

  1. Graphing on a number line
  2. Converting to equivalent forms and comparing numerically

Example: Compare 0.4 and 1.1 Solution: 0.4 < 1.1 because 0.4 is to the left of 1.1 on the number line.

<h2 id="essentialquestion">Essential Question</h2> <p>How are integers and absolute value used in real-world situations?</p> <h3 id="intege

Ordering Rational Numbers

This page expands on ordering rational numbers, including a mix of fractions and decimals.

Example: Order the set (-3 5/12, -3.25, -3.3) from least to greatest Solution: -3 5/12, -3.3, -3.25

The process involves:

  1. Converting fractions to decimals
  2. Graphing all numbers on a number line
  3. Ordering from left to right on the number line

This approach reinforces the visual representation of rational numbers and their relationships, which is essential for understanding integers in real life situations worksheets.

<h2 id="essentialquestion">Essential Question</h2> <p>How are integers and absolute value used in real-world situations?</p> <h3 id="intege

Terminating and Repeating Decimals

This page introduces the concepts of terminating and repeating decimals as representations of rational numbers.

Vocabulary:

  • Terminating decimal: A decimal form of a rational number that ends.
  • Repeating decimal: A decimal form of a rational number where a group of digits repeats indefinitely.
  • Rational number: Any number that can be written as a fraction.

Example: Write 2/11 as a decimal Solution: 0.18 (repeating)

The section also introduces bar notation to indicate repeating decimal patterns.

Highlight: Understanding these concepts is crucial for real life applications of integers in class 7 and beyond.

<h2 id="essentialquestion">Essential Question</h2> <p>How are integers and absolute value used in real-world situations?</p> <h3 id="intege

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Knowunity is the # 1 ranked education app in five European countries

4.9+

Average App Rating

13 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying