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Multiplying and dividing decimals

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Dividing decimals

Easy Peasy Divisibility and Decimals: Learn to Multiply and Divide!

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Easy Peasy Divisibility and Decimals: Learn to Multiply and Divide!
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Kaylee

@kaylee_braddy

·

23 Followers

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A comprehensive guide covering essential mathematical operations including understanding divisibility rules for numbers, step by step guide to multiplying decimals, and how to divide decimals correctly.

  • Divisibility rules provide quick methods to determine if a number is divisible by another without performing division
  • Decimal multiplication follows a systematic approach of counting decimal places and adjusting the final answer
  • Decimal division involves strategic decimal point movement before performing standard long division
  • These mathematical concepts build foundational skills for more advanced arithmetic operations

6/3/2023

52

Divisibility Rules 2 The last digit is even 3 The sum of the digits is divisible by 3 4 The last 2 digits form a number divisible by 4 5 → T

View

Multiplying Decimals

This section presents a detailed methodology for decimal multiplication through a clear three-step process. The page demonstrates multiple examples with varying decimal places to reinforce the concept.

Definition: When multiplying decimals, the process involves treating the numbers as whole numbers initially, then adjusting the decimal placement in the final answer.

Example: Multiplying 4.3 × 5.2:

  1. Multiply 43 × 52 = 2236
  2. Count decimal places (1 in 4.3 + 1 in 5.2 = 2 total)
  3. Place decimal point 2 places from right: 22.36

Highlight: The total number of decimal places in the product equals the sum of decimal places in the factors.

Divisibility Rules 2 The last digit is even 3 The sum of the digits is divisible by 3 4 The last 2 digits form a number divisible by 4 5 → T

View

Dividing Decimals

The final page explains the process of decimal division through a clear, step-by-step approach focusing on decimal point manipulation and standard long division.

Definition: Decimal division involves strategically moving decimal points in both the dividend and divisor before performing standard long division.

Example: Dividing 5.525 ÷ 4.25:

  1. Move both decimals right until divisor becomes whole number
  2. Perform long division
  3. Place decimal in quotient based on dividend's decimal position Result: 1.3

Highlight: The key to successful decimal division is ensuring the divisor becomes a whole number through decimal point movement, while maintaining the relative value of both numbers.

Divisibility Rules 2 The last digit is even 3 The sum of the digits is divisible by 3 4 The last 2 digits form a number divisible by 4 5 → T

View

Divisibility Rules

This page outlines comprehensive rules for determining divisibility of numbers from 2 through 10. Each rule provides a unique method for quick mental calculations without performing long division.

Definition: Divisibility rules are mathematical shortcuts that help determine if one number is divisible by another without performing actual division.

Example: To check if a number is divisible by 3, add all its digits. If the sum is divisible by 3, the original number is divisible by 3. For instance, 126: 1+2+6=9, and 9 is divisible by 3, so 126 is divisible by 3.

Highlight: The rules for 2, 5, and 10 are the easiest to apply as they only require looking at the last digit of the number.

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

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

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SuSSan, iOS User

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

Subjects

/

Arithmetic

/

Multiplying and dividing decimals

/

Dividing decimals

Easy Peasy Divisibility and Decimals: Learn to Multiply and Divide!

user profile picture

Kaylee

@kaylee_braddy

·

23 Followers

Follow

A comprehensive guide covering essential mathematical operations including understanding divisibility rules for numbers, step by step guide to multiplying decimals, and how to divide decimals correctly.

  • Divisibility rules provide quick methods to determine if a number is divisible by another without performing division
  • Decimal multiplication follows a systematic approach of counting decimal places and adjusting the final answer
  • Decimal division involves strategic decimal point movement before performing standard long division
  • These mathematical concepts build foundational skills for more advanced arithmetic operations

6/3/2023

52

 

6th

 

Arithmetic

10

Divisibility Rules 2 The last digit is even 3 The sum of the digits is divisible by 3 4 The last 2 digits form a number divisible by 4 5 → T

Multiplying Decimals

This section presents a detailed methodology for decimal multiplication through a clear three-step process. The page demonstrates multiple examples with varying decimal places to reinforce the concept.

Definition: When multiplying decimals, the process involves treating the numbers as whole numbers initially, then adjusting the decimal placement in the final answer.

Example: Multiplying 4.3 × 5.2:

  1. Multiply 43 × 52 = 2236
  2. Count decimal places (1 in 4.3 + 1 in 5.2 = 2 total)
  3. Place decimal point 2 places from right: 22.36

Highlight: The total number of decimal places in the product equals the sum of decimal places in the factors.

Divisibility Rules 2 The last digit is even 3 The sum of the digits is divisible by 3 4 The last 2 digits form a number divisible by 4 5 → T

Dividing Decimals

The final page explains the process of decimal division through a clear, step-by-step approach focusing on decimal point manipulation and standard long division.

Definition: Decimal division involves strategically moving decimal points in both the dividend and divisor before performing standard long division.

Example: Dividing 5.525 ÷ 4.25:

  1. Move both decimals right until divisor becomes whole number
  2. Perform long division
  3. Place decimal in quotient based on dividend's decimal position Result: 1.3

Highlight: The key to successful decimal division is ensuring the divisor becomes a whole number through decimal point movement, while maintaining the relative value of both numbers.

Divisibility Rules 2 The last digit is even 3 The sum of the digits is divisible by 3 4 The last 2 digits form a number divisible by 4 5 → T

Divisibility Rules

This page outlines comprehensive rules for determining divisibility of numbers from 2 through 10. Each rule provides a unique method for quick mental calculations without performing long division.

Definition: Divisibility rules are mathematical shortcuts that help determine if one number is divisible by another without performing actual division.

Example: To check if a number is divisible by 3, add all its digits. If the sum is divisible by 3, the original number is divisible by 3. For instance, 126: 1+2+6=9, and 9 is divisible by 3, so 126 is divisible by 3.

Highlight: The rules for 2, 5, and 10 are the easiest to apply as they only require looking at the last digit of the number.

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