Converting Decimals and Percents
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How to convert percents to decimals and decimals to percents. Learnist Board: http://bit.ly/13AGhZq More information at http://bit.ly/ZXLw0I #P2
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Percent to Decimal
This document provides instructions for converting percentages to decimals in 2 steps:
1) Remove the % sign
2) Move the decimal point two places to the left
It then demonstrates this process for converting several percentages to decimals, such as 97% to 0.97, and explains that percentages and decimals represent equivalent values. Converting a percentage to a decimal simply involves multiplying the percentage by 100, which does not change the value.
Fractions, Decimals, and Percents
This document defines decimals, fractions, and percents and provides steps for converting between them. Decimals are numbers with a decimal point, fractions show parts of a whole, and percents express amounts out of 100. To convert a fraction to a decimal, divide the numerator by the denominator. To convert a fraction to a percent, change it to a decimal then multiply by 100. Converting between other forms follows similar steps of changing the number to an equivalent decimal or percent value.
Rounding Decimal Numbers
Here are the steps to round each number as indicated in Exercise 3.2 on pages 105 and 106:
a. 4.231 to 2 decimal places is 4.23
b. 0.75 to 1 decimal place is 0.8
c. 2.076 to 2 decimal places is 2.08
d. 0.698 to 2 decimal places is 0.70
e. 23.357 to 1 decimal place is 23.4
f. 48.6929 to 3 decimal places is 48.693
g. 639.678 to the nearest hundred is 640
h. 12.364 to the nearest ten is 12.4
i. 95.89 to the nearest ten is 100
j.
Multiply Two-Digit Numbers
This document provides instructions for multiplying two-digit numbers by two-digit numbers in 5 steps:
1) Multiply the ones place of the first number by the ones place of the second number.
2) Multiply the ones place of the first number by the tens place of the second number and add any carries.
3) Repeat for the tens place of the first number.
4) Add the partial products together.
5) The sum is the total product of the multiplication problem.
Two-Digit Division
1. The document explains the steps for long division with a 2 digit divisor through an example of dividing 418 by 21.
2. It breaks down the process into 5 steps - dividing, multiplying, subtracting, bringing down remaining digits, and repeating the steps or noting the remainder.
3. Following these steps, the example divides 418 by 21 and gets a quotient of 20 with a remainder of 3.
Place Value and Decimals
The document reviews place value and place names for decimal numbers. It discusses how to read and write numbers with decimals, such as four and five tenths or five and sixty-seven hundredths. It has students practice comparing the value of decimal numbers, such as determining whether 0.3 or 0.03 is greater, by representing them with place value counters on a place value chart.
Fraction To Decimal
This document provides instructions for converting decimals to fractions and fractions to decimals. It explains that the place value of the last digit determines the denominator of the fraction. For decimals, the place value is determined by powers of ten. For fractions, the place value determines where the digit goes in the decimal. It also addresses situations where the denominator is not a power of ten, in which case the fraction needs to be divided.
Percentages
This document discusses percentages and percent problems. It defines a percentage as a fraction with a denominator of 100. Percentages make it easy to compare quantities. A percent problem has three parts: the amount, the base, and the percent. The amount is part of the whole (base). The percent expresses the ratio of the amount to the base as a percentage. The document provides examples and exercises for identifying these parts and calculating unknown values in percent problems using the formula: Percent = Amount/Base x 100.
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Percent to Decimal
This document provides instructions for converting percentages to decimals in 2 steps:
1) Remove the % sign
2) Move the decimal point two places to the left
It then demonstrates this process for converting several percentages to decimals, such as 97% to 0.97, and explains that percentages and decimals represent equivalent values. Converting a percentage to a decimal simply involves multiplying the percentage by 100, which does not change the value.
Fractions, Decimals, and Percents
This document defines decimals, fractions, and percents and provides steps for converting between them. Decimals are numbers with a decimal point, fractions show parts of a whole, and percents express amounts out of 100. To convert a fraction to a decimal, divide the numerator by the denominator. To convert a fraction to a percent, change it to a decimal then multiply by 100. Converting between other forms follows similar steps of changing the number to an equivalent decimal or percent value.
Rounding Decimal Numbers
Here are the steps to round each number as indicated in Exercise 3.2 on pages 105 and 106:
a. 4.231 to 2 decimal places is 4.23
b. 0.75 to 1 decimal place is 0.8
c. 2.076 to 2 decimal places is 2.08
d. 0.698 to 2 decimal places is 0.70
e. 23.357 to 1 decimal place is 23.4
f. 48.6929 to 3 decimal places is 48.693
g. 639.678 to the nearest hundred is 640
h. 12.364 to the nearest ten is 12.4
i. 95.89 to the nearest ten is 100
j.
Multiply Two-Digit Numbers
This document provides instructions for multiplying two-digit numbers by two-digit numbers in 5 steps:
1) Multiply the ones place of the first number by the ones place of the second number.
2) Multiply the ones place of the first number by the tens place of the second number and add any carries.
3) Repeat for the tens place of the first number.
4) Add the partial products together.
5) The sum is the total product of the multiplication problem.
Two-Digit Division
1. The document explains the steps for long division with a 2 digit divisor through an example of dividing 418 by 21.
2. It breaks down the process into 5 steps - dividing, multiplying, subtracting, bringing down remaining digits, and repeating the steps or noting the remainder.
3. Following these steps, the example divides 418 by 21 and gets a quotient of 20 with a remainder of 3.
Place Value and Decimals
The document reviews place value and place names for decimal numbers. It discusses how to read and write numbers with decimals, such as four and five tenths or five and sixty-seven hundredths. It has students practice comparing the value of decimal numbers, such as determining whether 0.3 or 0.03 is greater, by representing them with place value counters on a place value chart.
Fraction To Decimal
This document provides instructions for converting decimals to fractions and fractions to decimals. It explains that the place value of the last digit determines the denominator of the fraction. For decimals, the place value is determined by powers of ten. For fractions, the place value determines where the digit goes in the decimal. It also addresses situations where the denominator is not a power of ten, in which case the fraction needs to be divided.
Percentages
This document discusses percentages and percent problems. It defines a percentage as a fraction with a denominator of 100. Percentages make it easy to compare quantities. A percent problem has three parts: the amount, the base, and the percent. The amount is part of the whole (base). The percent expresses the ratio of the amount to the base as a percentage. The document provides examples and exercises for identifying these parts and calculating unknown values in percent problems using the formula: Percent = Amount/Base x 100.
Add Fractions With Unlike Denominators
This document provides steps for adding fractions with unlike denominators:
1) Find equivalent fractions with a common denominator
2) Add the numerators and use the sum as the new numerator
3) Keep the common denominator as the denominator
4) Simplify the resulting fraction if possible by reducing to lowest terms
Worked examples demonstrate applying the steps to add several pairs of fractions.
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Fractions to percents
The document provides a 5-step process for changing fractions to percents:
1. Divide the numerator by the denominator
2. Add a decimal and two zeros to the dividend
3. Place the decimal in the quotient above the division symbol
4. Perform long division
5. Move the decimal two places right and change it to a percent sign
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2 Digit Multiplication Easily Explained
The document explains how to perform 2-digit multiplication. It goes through the step-by-step process, which includes: 1) lining up the numbers with their place values, 2) multiplying the ones place and carrying numbers, 3) multiplying the tens place and using a placeholder zero, and 4) adding the partial products together to get the final product. The example shown is 26 x 12 = 312, and each step of the multiplication is demonstrated.
Division of decimals
Dividing decimals involves the following steps:
1. When dividing a decimal by a whole number, place the decimal point in the quotient above the decimal point in the dividend. Divide as usual.
2. When dividing one decimal by another, move the decimal point in the divisor right until the end of its digits and move the decimal point in the dividend the same number of places.
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The document provides instructions and examples for converting decimals to fractions and fractions to decimals. It explains that to write a decimal as a fraction, you write the fraction based on the place value name of the decimal. Several examples are provided, such as 0.15 written as 15/100. It also explains that when converting a fraction to a decimal, the numerator is written with as many decimal places as the denominator's place value. More examples are given to demonstrate this, such as 1/4 written as 0.25.
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and write it as a percent.
Learnist Board: http://bit.ly/13AGhZq
More information at http://bit.ly/ZXLw0I
#P16
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Long Division
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Percentages
This document provides information on calculating percentages. It defines what a percentage is as a fraction of 100 and explains how to calculate percentages using a simple formula. An example is provided to demonstrate calculating the percentage of different types of fruits in a basket containing a total of 20 fruits. The percentages are calculated by taking the number of fruits of each type, dividing by the total number of fruits, and multiplying by 100. The document also shows how to calculate percentages when given the percentage, whole, or part.
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2) Visual representations are used to demonstrate multiplying fractions, such as fractions multiplied by whole numbers or other fractions. Mixed numbers are also covered.
3) Cancelling terms before and after calculations is discussed as a way to simplify fractions. Dividing fractions is explained as turning the second fraction upside down and multiplying instead of dividing.
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This document provides instructions for performing basic operations with decimals such as addition, subtraction, multiplication, and division. It explains how to align the decimals and describes the steps for each operation. Examples are provided for adding, subtracting, multiplying, and dividing decimals. The document also covers comparing and converting fractions and decimals, with examples of how to convert a fraction to a decimal and vice versa. It concludes with contact information.
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Meaning of Percent.pptx
The document defines percent as a ratio with 100 as the second term, meaning "per hundred" or "out of a hundred." It provides examples of converting between fractions, decimals, and percents by moving decimal points and changing denominators. Conversions include renaming 5/4 as 0.8 or 80%, 0.45 as 45%, and 60% as 12/20 or 3/5.
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Worked examples demonstrate applying the steps to add several pairs of fractions.
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The document is about decimals and how they represent parts of whole numbers. It explains that decimals have a decimal point separating the whole numbers on the left from the part numbers on the right. It provides examples of what different decimals look like in diagrams and on a number line. It discusses rounding, adding, subtracting, multiplying and dividing decimals.
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The document defines key terms related to percentages, including defining a percentage as a fraction with a denominator of 100 or a decimal in the hundredths place. It provides examples of converting between percentages, fractions, and decimals. Several examples are given of calculating percentages for parts of a whole using diagrams of squares. The document emphasizes best practices for solving routine and non-routine percentage problems using appropriate strategies and tools.
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The document provides a 5-step process for changing fractions to percents:
1. Divide the numerator by the denominator
2. Add a decimal and two zeros to the dividend
3. Place the decimal in the quotient above the division symbol
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This document is a lesson on powers of ten and scientific notation. It begins with examples of multiplying numbers by powers of ten by moving the decimal point. It then explains how to write numbers in scientific notation as a number between 1 and 10 multiplied by a power of 10. Examples are provided of writing numbers in scientific notation and standard form. The document concludes with a quiz reviewing the concepts taught.
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The document explains how to perform 2-digit multiplication. It goes through the step-by-step process, which includes: 1) lining up the numbers with their place values, 2) multiplying the ones place and carrying numbers, 3) multiplying the tens place and using a placeholder zero, and 4) adding the partial products together to get the final product. The example shown is 26 x 12 = 312, and each step of the multiplication is demonstrated.
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Dividing decimals involves the following steps:
1. When dividing a decimal by a whole number, place the decimal point in the quotient above the decimal point in the dividend. Divide as usual.
2. When dividing one decimal by another, move the decimal point in the divisor right until the end of its digits and move the decimal point in the dividend the same number of places.
3. Terminating decimals stop at a certain digit. Repeating decimals have a repeating digit or group of digits that is usually denoted with a bar.
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This document defines and provides examples of linear equations in one variable. It explains that a linear equation is an equation that can be written in the form ax + b = c or ax = b, where a, b, c are constants and a ≠ 0. Examples of linear equations given include 3x + 9 = 0 and 7x + 5 = 2x - 9. The document also discusses how to determine if a value is a solution to a linear equation by substitution and simplification. Steps for solving linear equations are provided, which include isolating the variable using inverse operations like addition/subtraction and multiplication/division.
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The document provides instructions and examples for converting decimals to fractions and fractions to decimals. It explains that to write a decimal as a fraction, you write the fraction based on the place value name of the decimal. Several examples are provided, such as 0.15 written as 15/100. It also explains that when converting a fraction to a decimal, the numerator is written with as many decimal places as the denominator's place value. More examples are given to demonstrate this, such as 1/4 written as 0.25.
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Long division is explained using a family as an analogy to represent the steps. Dad represents dividing, Mom represents multiplying, Sister represents subtracting, Brother represents bringing down digits, and Rover represents repeating the process or getting the remainder. The document then walks through a long division problem step-by-step using this personification analogy to illustrate each part of the long division process.
Percentages
This document provides information on calculating percentages. It defines what a percentage is as a fraction of 100 and explains how to calculate percentages using a simple formula. An example is provided to demonstrate calculating the percentage of different types of fruits in a basket containing a total of 20 fruits. The percentages are calculated by taking the number of fruits of each type, dividing by the total number of fruits, and multiplying by 100. The document also shows how to calculate percentages when given the percentage, whole, or part.
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1) This document provides instructions on multiplying and dividing fractions. It explains how to multiply and divide fractions by multiplying or dividing their numerators and denominators.
2) Visual representations are used to demonstrate multiplying fractions, such as fractions multiplied by whole numbers or other fractions. Mixed numbers are also covered.
3) Cancelling terms before and after calculations is discussed as a way to simplify fractions. Dividing fractions is explained as turning the second fraction upside down and multiplying instead of dividing.
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This document provides instructions for performing basic operations with decimals such as addition, subtraction, multiplication, and division. It explains how to align the decimals and describes the steps for each operation. Examples are provided for adding, subtracting, multiplying, and dividing decimals. The document also covers comparing and converting fractions and decimals, with examples of how to convert a fraction to a decimal and vice versa. It concludes with contact information.
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Converting Decimals and Percents
- 1. Converting Decimals & Percents To convert between decimals and percents move the decimal point (exactly!) 2 places. By Jim Olsen, W.I.U. #P2
- 2. Percent to Decimal • Per means ‘divided by’ • Cent means 100 • Percent means ‘divided by 100’ • To convert a percent to a decimal, divide by 100, which means to move the decimal point two places to the left and drop the percent sign.
- 3. 8% 8% = 8.% = .08
- 4. 70% 70% = 70.% = .70 = .7
- 5. More Examples 2.4% = 2.4% = .024 160% = 160.% = 1.6 123.456% = 1.23456 .12% = .0012 700% = 7
- 6. Decimal to Percent • This is the reverse process, so go the other way. • To convert a decimal to a percent, move the decimal point two places to the right and put on the percent sign. .83 = 83%
- 7. Decimal to Percent Examples • .09 = 9.% = 9% • .6 = 60.% = 60% • .375 = 37.5% • .0008 = .08% • 4.567 = 456.7% • 2 = 200%
- 8. .007 (a percent less than 1%) • .007 = .7% = 0.7%
- 9. 1.6 (a percent bigger than 100%) • 1.6 = 160.% = 160%
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