Decimals and the Area Model

Slides:



Advertisements
Similar presentations
Changing Fractions into Decimals
Advertisements

A whole 1 1 Half Half Third Third Third Quarter
Section 1.3 Integer Exponents.
Fractions, Decimals, and Percents
Comparing and Rounding Decimals
Scientific Notation A short-hand way of writing large numbers without
WHO WANTS TO BE A MILLIONAIRE? CAPACITY STYLE.
Example:                                         Calculate how many squares altogether (2 x 5 = 10)
EXAMPLE 1 Multiply Decimals Using Mental Math a
How to Find the Square Root of a Non-Perfect Square
1.5 Decimals Expanded Form.
 Which number is in exponential form: -10,, 10  Identify the Base of that number  What is the exponent in that number? - the number being multiplied.
ConversionsConversions Decimals to Fractions and Fractions to Decimals.
Introduction to Pharmaceutical Calculation
Finding Percents 6.RP.3c.
TOPICS COVERED ON “NUMBER SENSE” TEST:
Decimals Start by turning to page 35 in the book. Discuss the 3 pictures.
4.1 Powers of 10.
EXAMPLE 3 Writing a Percent as a Fraction = = 1 4 = a %
1 One whole. A decimal is a part of one whole A grid is a picture that shows the value of a decimal.
Fractions, Decimals, & Percent Conversions
Modeling Multiplication of Fractions
Fractions & Decimals.
2-1 Terminating and Repeating Decimals
Converting Repeating Decimals to Fractions. This Gets a Little Complex As we go through a few examples, I want you to look for patterns.
Rational Numbers Math 7/8.
Previously, we learned how to convert a decimal to a fraction
Tenths and Hundredths By Mr. Bales Objective By the end of the lesson, you will be able to identify, read, and write tenths and hundredths as decimals.
By Sheikh Nawab K.V. No - 1 Srinagar
Estimating Square Roots to the Tenths and Hundredths Place.
CA Math 3.1 Fractions and Decimals. Terminating decimal – When the conversion of a fraction to decimals end with a remainder of zero. Writing Fractions.
Today we will review “Multiplying & Dividing Decimals”
BINARY 1. Number Systems Base 10 uses the numbers 0-9 Represents numbers as ones, tens, hundreds etc HundredsTensOnesSolution = =
Rational numbers. Whole numbers Whole numbers Rational numbers Whole numbers Natural numbers Integers / ¾ 18% A rational number.
Multiplying Mixed Numbers and Fractions Section 6-5.
I can read, write, and connect models of fractions, decimals, whole numbers, and percents in several different ways. Elaine Murphy CWE.
Today’s Plan: -Mental math with decimals -Multiply decimals -Add and Subtract Decimals 11/17/10 Decimals Learning Target: -I can solve problems containing.
Decimals, Fractions, and Percents
Percents To Reduced Fractions Decimals To Percents.
Mathletes Fab Five Divide ) 122 2) ) 0.5.
Today’s Plan: -Compare and order decimals -Human Number Line -Compare and order fractions 11/17/10 Compare and Order Rational Numbers Learning Target:
Warm Up The school play is going to be held in the auditorium that will hold 200 people. Gina sold 36 adult tickets to the play. She sold 4 times as many.
Converting Decimals to Fractions: Read it, Write it, Reduce it! Math-7 NOTES DATE: ______/_______/_______ What: Converting Fractions and decimals Why:
Percents, Fractions, and Decimals 12/7
Guide to Math Knowledge. Numbers, Number Systems and Number Relationships.
Whole, Integers, Rational and Natural Numbers M7N1. Students will understand the meaning of positive and negative rational numbers and use them in computation.
Dimensional Analysis  What happens when you divide a number by itself?  What happens when you divide a unit by itself?  In both cases, you get the.
Fractions and Decimal Fractions Fractions Decimal Fractions
Practice using fractions, decimals, and percents with place value, number lines, shaded shapes, and shaded 10 x 10 grids.
Rename Fractions as Decimals SWBAT express fractions and mixed numbers as decimals.
Convert scientific notation to standard notation
Convert to a Percent %.
“Take the top #, Divide by the bottom #!”
Models and Pictorials Warm - up Remember…? Power point Represent
Model Multiplication of Decimals
Modeling Multiplication of Fractions
Fractions.
Decimal Place Value with Base Ten Blocks and Grids
© T Madas.
Dividing Fraction and Whole number
Conversions of Percentages & Fractions
© T Madas.
Percentage Conversion
Scientific Notation Very large numbers and very small numbers are written in scientific notation.
Modelling Multiplication of Fractions
Express the fraction to decimal.
Fractions to Decimals to Percentages to Ratios – Connect 3
Decimals to Fractions – Connect 3
Equivalence – Fractions, Decimals & Percentages – Connect 3
Equivalence – Fractions, Decimals, Percentages & Ratios – Connect 3
Presentation transcript:

Decimals and the Area Model

Decimals are fractions written in a different form Decimals are fractions written in a different form. They represent a part of the whole

For example how do we shade a portion of the grid that represents 1 10 ?

How many of these long bars fit in our grid? 10

Since there are 10 of the long bars in the entire unit grid, each bar represents… or

Your turn – Shade a part of the whole that is represented by the decimal .3 How can we write this as a fraction?

.1 + .1 + .1 = .3 or 1 10 + 1 10 + 1 10 = 𝟑 𝟏𝟎

What fraction of the whole is shaded? How do we represent this as a decimal?

There are 10 columns

and there are 10 rows..

So, in the entire grid, there are 10 x 10 = 100 medium squares.

So, the fraction is … …and as a decimal …

Your turn – shade a part of the whole that is represented by .25 How do we write this as a fraction?

.2 + .05 = .𝟐𝟓

…and as a fraction – 25 100 Since 25 out of 100 boxes are shaded

Is there another way to write the fraction 25 100 ?

1 3 2 4 How many of these fit in the whole unit?

…so we can write the fraction 25 100 = 1 4 Therefore .25 = 25 100 = 1 4

There are many ways to write the portion of a whole with fractions… 25 100 = 1 4 = But, only one way to write that portion as a decimal .25

100 10 How many of these little bars fit across the top of our grid? How many of these little bars fit down the side of our grid? 10 So, in the entire grid, there are 10 x 100 = 1000 little bars.

Since there are 1000 of the little bars in the entire unit grid, each bar represents… or

Your turn – shade a portion of the whole that represents .004 How can we write this as a fraction?

.001 + .001 + .001 + .001 = .004

100 100 How many little squares fit across the top of our grid? How many little squares fit down the side of our grid? 100 So there are 100 x 100 = 10000 little squares in the entire grid.

Since there are 10000 of the little squares in the entire unit grid, each square represents… or

0.1 0.01 0.001 0.0001

What decimal number is represented by the shaded area? 0.1 0.02 + 0.005 0.125

What decimal number is represented by the shaded area? 0.2 0.05 0.007 + 0.0003 0.2573

Let’s start with the fraction Now for the very cool application of the decimal grid to the conversion of fractions into decimal notation Let’s start with the fraction

This can be read as 1 part out of every 4 So, out of these 4 bars, we can shade 1 And out of these 4 bars, we can shade 1 Out of these 4 squares, we can shade 1 And so forth… Until we have used up all of the original unit

Use the decimal grid to convert to decimal notation

Use the decimal grid to convert to decimal notation

Use a grid to convert the following fractions into decimal notation 3 4 5 8 7 20