Learn Fast Math: Mental Tricks, Sempoa, and Cool Math Worksheets

Stylecoff

4/19/2023

Arithmetic

Arithmetic and Fractions of real number

1,769

•

Apr 19, 2023

•

8 pages

Learn Fast Math: Mental Tricks, Sempoa, and Cool Math Worksheets

Name: Knowunity
Brand: Knowunity

Stylecoff

@stylecoff_zphi

Hey there! Ready to become a math whiz with mental calculation tricks for addition and subtraction? Discover how to use the sempoa and why it's fun to learn arithmetic like multiplication with it. Download PDFs with sempoa questions, including level 1 and example problems with answers. Explore arithmetic sequences, series, and properties like the distributive property with step-by-step worksheets. Dive into the world of math with easy guides, comparison between Sempoa vs Kumon, and see how fun math can be!

1 / 8

●
ax (bx ()
2x (3x5)
2x 15
=
C
-
(axb)xc
:
:
* Addition & multiplication are assosiative
** Substraction & division aren't assasiative
3.) D

Associative and Distributive Properties

This page introduces key arithmetic properties, focusing on the associative and distributive properties. These fundamental concepts are crucial for understanding more advanced mathematical operations.

Definition: The associative property states that the grouping of numbers in addition and multiplication does not affect the result.

Example: $a x b$ x c = a x (b x c)

The distributive property is explained with practical examples:

Example: a x $b + c$ = a x b + a x c

Highlight: While addition and multiplication are associative, subtraction and division are not.

The page also covers special properties related to multiplying and dividing by one, as well as multiplying by zero.

Vocabulary:

Associative property: The grouping of numbers does not affect the result in addition and multiplication
Distributive property: Multiplying a number by a sum is the same as multiplying the number by each addend and then adding the products

Mental Math Addition and Subtraction Techniques

This section introduces practical techniques for performing mental math calculations quickly and efficiently. The focus is on addition and subtraction of two-digit numbers.

Highlight: Every two-digit number can be broken down into a multiple of ten plus a single-digit number, making mental calculations easier.

The document provides a step-by-step approach to adding two-digit numbers mentally:

Break down each number into tens and ones
Add the tens
Add the ones
Combine the results

Example: To add 47 + 36 mentally:

47 = 40 + 7, 36 = 30 + 6
40 + 30 = 70
7 + 6 = 13
70 + 13 = 83

Several practice exercises are provided to reinforce this technique.

Vocabulary:

Mental math: Performing calculations in your head without writing them down
Teknik perhitungan mental penjumlahan dan pengurangan pdf: Mental calculation techniques for addition and subtraction

Advanced Subtraction Techniques

This page delves deeper into mental math techniques for subtraction. It introduces a method for subtracting two-digit numbers by breaking them down into tens and ones.

Highlight: When each digit of the first number is larger than the corresponding digit in the second number, subtraction can be simplified by separating the tens and ones.

The document explains the concept of "borrowing" in subtraction, reframing it as adding the same amount to both numbers to make the calculation easier.

Example: To subtract 56 - 19 mentally:

Add 1 to both numbers: 57 - 20
Calculate: 57 - 20 = 37

Several practice exercises are provided to reinforce these subtraction techniques.

Vocabulary:

Borrowing: In subtraction, taking a value from a higher place value to enable subtraction in a lower place value
Cara menghitung cepat dengan otak: Methods for quick mental calculations

Arithmetic and Fractions

This section introduces the concept of real numbers and their properties. It explains that real numbers include all numbers on the number line, encompassing whole numbers, fractions, and decimals.

Definition: A real number is any number on the number line, including whole numbers, fractions, and decimals.

The document clarifies that when a math problem refers to a "number," it can be positive, negative, or zero, and can be a whole number, fraction, or decimal.

Highlight: Zero is the only number that is neither positive nor negative.

The concept of integers is introduced, defined as all positive and negative whole numbers, including zero.

Vocabulary:

Real number: Any number on the number line
Integer: A whole number that can be positive, negative, or zero
Aritmatika Matematika: Arithmetic mathematics

Fundamental Arithmetic Properties

This page discusses fundamental arithmetic properties that apply to all real numbers. It introduces the use of variables (a, b, c) to represent real numbers in mathematical expressions.

The commutative property is explained for addition and multiplication:

Definition: The commutative property allows changing the order of numbers in addition and multiplication without affecting the result.

Example: a + b = b + a, and a × b = b × a

The document notes that subtraction and division are generally not commutative.

Highlight: While addition and multiplication are commutative, subtraction and division are not.

Vocabulary:

Commutative property: The ability to change the order of numbers in addition and multiplication without affecting the result
Distributive property examples: Illustrations of how the distributive property works in mathematical operations

Arithmetic Properties and Mental Math Techniques

This document covers fundamental arithmetic properties and mental math strategies for addition and subtraction. It provides a comprehensive overview of key mathematical concepts and practical techniques for performing calculations quickly and efficiently.

Key points:

Explanation of associative and distributive properties
Mental math tricks for addition and subtraction
Overview of real numbers, integers, and arithmetic operations
Fundamental arithmetic properties applicable to all real numbers

Highlight: The document emphasizes practical mental math techniques that can be applied to quickly solve addition and subtraction problems without relying on written calculations.

Vocabulary:

Sum: The result of addition
Difference: The result of subtraction
Product: The result of multiplication
Quotient: The result of division

We thought you’d never ask...

What is the Knowunity AI companion?

Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.

Where can I download the Knowunity app?

You can download the app in the Google Play Store and in the Apple App Store.

Is Knowunity really free of charge?

That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.

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

Students love us — and so will you.

4.9/5

App Store

4.8/5

Google Play

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user

Stefan S

iOS user

Samantha Klich

Android user

Anna

iOS user

Thomas R

iOS user

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

Elisha

iOS user

Paul T

iOS user

Arithmetic

•

1,769

•

Apr 19, 2023

•

8 pages

Learn Fast Math: Mental Tricks, Sempoa, and Cool Math Worksheets

Stylecoff

@stylecoff_zphi

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Associative and Distributive Properties

Definition: The associative property states that the grouping of numbers in addition and multiplication does not affect the result.

Example: $a x b$ x c = a x (b x c)

The distributive property is explained with practical examples:

Example: a x $b + c$ = a x b + a x c

Highlight: While addition and multiplication are associative, subtraction and division are not.

The page also covers special properties related to multiplying and dividing by one, as well as multiplying by zero.

Vocabulary:

Associative property: The grouping of numbers does not affect the result in addition and multiplication
Distributive property: Multiplying a number by a sum is the same as multiplying the number by each addend and then adding the products

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Mental Math Addition and Subtraction Techniques

This section introduces practical techniques for performing mental math calculations quickly and efficiently. The focus is on addition and subtraction of two-digit numbers.

Highlight: Every two-digit number can be broken down into a multiple of ten plus a single-digit number, making mental calculations easier.

The document provides a step-by-step approach to adding two-digit numbers mentally:

Break down each number into tens and ones
Add the tens
Add the ones
Combine the results

Example: To add 47 + 36 mentally:

47 = 40 + 7, 36 = 30 + 6
40 + 30 = 70
7 + 6 = 13
70 + 13 = 83

Several practice exercises are provided to reinforce this technique.

Vocabulary:

Mental math: Performing calculations in your head without writing them down
Teknik perhitungan mental penjumlahan dan pengurangan pdf: Mental calculation techniques for addition and subtraction

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Advanced Subtraction Techniques

This page delves deeper into mental math techniques for subtraction. It introduces a method for subtracting two-digit numbers by breaking them down into tens and ones.

Highlight: When each digit of the first number is larger than the corresponding digit in the second number, subtraction can be simplified by separating the tens and ones.

The document explains the concept of "borrowing" in subtraction, reframing it as adding the same amount to both numbers to make the calculation easier.

Example: To subtract 56 - 19 mentally:

Add 1 to both numbers: 57 - 20
Calculate: 57 - 20 = 37

Several practice exercises are provided to reinforce these subtraction techniques.

Vocabulary:

Borrowing: In subtraction, taking a value from a higher place value to enable subtraction in a lower place value
Cara menghitung cepat dengan otak: Methods for quick mental calculations

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Arithmetic and Fractions

This section introduces the concept of real numbers and their properties. It explains that real numbers include all numbers on the number line, encompassing whole numbers, fractions, and decimals.

Definition: A real number is any number on the number line, including whole numbers, fractions, and decimals.

The document clarifies that when a math problem refers to a "number," it can be positive, negative, or zero, and can be a whole number, fraction, or decimal.

Highlight: Zero is the only number that is neither positive nor negative.

The concept of integers is introduced, defined as all positive and negative whole numbers, including zero.

Vocabulary:

Real number: Any number on the number line
Integer: A whole number that can be positive, negative, or zero
Aritmatika Matematika: Arithmetic mathematics

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Fundamental Arithmetic Properties

This page discusses fundamental arithmetic properties that apply to all real numbers. It introduces the use of variables (a, b, c) to represent real numbers in mathematical expressions.

The commutative property is explained for addition and multiplication:

Definition: The commutative property allows changing the order of numbers in addition and multiplication without affecting the result.

Example: a + b = b + a, and a × b = b × a

The document notes that subtraction and division are generally not commutative.

Highlight: While addition and multiplication are commutative, subtraction and division are not.

Vocabulary:

Commutative property: The ability to change the order of numbers in addition and multiplication without affecting the result
Distributive property examples: Illustrations of how the distributive property works in mathematical operations

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Arithmetic Properties and Mental Math Techniques

Key points:

Explanation of associative and distributive properties
Mental math tricks for addition and subtraction
Overview of real numbers, integers, and arithmetic operations
Fundamental arithmetic properties applicable to all real numbers

Highlight: The document emphasizes practical mental math techniques that can be applied to quickly solve addition and subtraction problems without relying on written calculations.

Vocabulary:

Sum: The result of addition
Difference: The result of subtraction
Product: The result of multiplication
Quotient: The result of division

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

We thought you’d never ask...

What is the Knowunity AI companion?

Where can I download the Knowunity app?

You can download the app in the Google Play Store and in the Apple App Store.

Is Knowunity really free of charge?

That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.

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

Students love us — and so will you.

4.9/5

App Store

4.8/5

Google Play

Stefan S

iOS user

Samantha Klich

Android user

Anna

iOS user

Thomas R

iOS user

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

Elisha

iOS user

Paul T

iOS user

Stefan S

iOS user

Samantha Klich

Android user

Anna

iOS user

Thomas R

iOS user

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

Elisha

iOS user

Paul T

iOS user