Converting Simple Decimals to Fractions and Vice Versa
![Converting Simple Decimals to Fractions and Vice Versa Converting Simple Decimals to Fractions and Vice Versa](https://slidetodoc.com/presentation_image_h/278ca2bb5fb111f90480823588d9b8db/image-1.jpg)
![Today’s Learning Goals § We will continue to link our understanding of fractions with Today’s Learning Goals § We will continue to link our understanding of fractions with](https://slidetodoc.com/presentation_image_h/278ca2bb5fb111f90480823588d9b8db/image-2.jpg)
![Representing Decimals n n Recently, we have seen how to represent a decimal number Representing Decimals n n Recently, we have seen how to represent a decimal number](https://slidetodoc.com/presentation_image_h/278ca2bb5fb111f90480823588d9b8db/image-3.jpg)
![Decimals to Fractions n n The number 2. 34 and the representation above show Decimals to Fractions n n The number 2. 34 and the representation above show](https://slidetodoc.com/presentation_image_h/278ca2bb5fb111f90480823588d9b8db/image-4.jpg)
![Decimals to Fractions n When writing a decimal as a mixed fraction, we must Decimals to Fractions n When writing a decimal as a mixed fraction, we must](https://slidetodoc.com/presentation_image_h/278ca2bb5fb111f90480823588d9b8db/image-5.jpg)
![Decimals to Fractions n n A third way to write a decimal is just Decimals to Fractions n n A third way to write a decimal is just](https://slidetodoc.com/presentation_image_h/278ca2bb5fb111f90480823588d9b8db/image-6.jpg)
![Fractions to Decimals n n a) d) As we have discussed, all decimal numbers Fractions to Decimals n n a) d) As we have discussed, all decimal numbers](https://slidetodoc.com/presentation_image_h/278ca2bb5fb111f90480823588d9b8db/image-7.jpg)
![Fractions to Decimals Suppose the fraction was. This fraction is not in tenths or Fractions to Decimals Suppose the fraction was. This fraction is not in tenths or](https://slidetodoc.com/presentation_image_h/278ca2bb5fb111f90480823588d9b8db/image-8.jpg)
![Fractions to Decimals n a) Consider the following fractions. How would you write the Fractions to Decimals n a) Consider the following fractions. How would you write the](https://slidetodoc.com/presentation_image_h/278ca2bb5fb111f90480823588d9b8db/image-9.jpg)
![Partner Work n You have 20 minutes to work on the following problems with Partner Work n You have 20 minutes to work on the following problems with](https://slidetodoc.com/presentation_image_h/278ca2bb5fb111f90480823588d9b8db/image-10.jpg)
![For those that finish early What number does each letter represent? A 0 C For those that finish early What number does each letter represent? A 0 C](https://slidetodoc.com/presentation_image_h/278ca2bb5fb111f90480823588d9b8db/image-11.jpg)
![Big Idea from Today’s Lesson n We can represent the same decimal number in Big Idea from Today’s Lesson n We can represent the same decimal number in](https://slidetodoc.com/presentation_image_h/278ca2bb5fb111f90480823588d9b8db/image-12.jpg)
![Homework n n Complete Homework Worksheet. Pg. 155 (2, 3, 15, 17, 18) Homework n n Complete Homework Worksheet. Pg. 155 (2, 3, 15, 17, 18)](https://slidetodoc.com/presentation_image_h/278ca2bb5fb111f90480823588d9b8db/image-13.jpg)
- Slides: 13
![Converting Simple Decimals to Fractions and Vice Versa Converting Simple Decimals to Fractions and Vice Versa](https://slidetodoc.com/presentation_image_h/278ca2bb5fb111f90480823588d9b8db/image-1.jpg)
Converting Simple Decimals to Fractions and Vice Versa
![Todays Learning Goals We will continue to link our understanding of fractions with Today’s Learning Goals § We will continue to link our understanding of fractions with](https://slidetodoc.com/presentation_image_h/278ca2bb5fb111f90480823588d9b8db/image-2.jpg)
Today’s Learning Goals § We will continue to link our understanding of fractions with decimals. § We will continue to develop our understanding of place value when determining the fraction equivalence of decimals.
![Representing Decimals n n Recently we have seen how to represent a decimal number Representing Decimals n n Recently, we have seen how to represent a decimal number](https://slidetodoc.com/presentation_image_h/278ca2bb5fb111f90480823588d9b8db/image-3.jpg)
Representing Decimals n n Recently, we have seen how to represent a decimal number to the hundredths using a rectangle cut up into 100 parts. For example, how would we represent the number 2. 34 if we let the large rectangle below represent 1 whole? Good…we need 2 wholes and 34 hundredths.
![Decimals to Fractions n n The number 2 34 and the representation above show Decimals to Fractions n n The number 2. 34 and the representation above show](https://slidetodoc.com/presentation_image_h/278ca2bb5fb111f90480823588d9b8db/image-4.jpg)
Decimals to Fractions n n The number 2. 34 and the representation above show different ways to write the number as a fraction. First, you could write the decimal out in expanded form. Expanded form shows the value of each place. 3 4 on huetes nd nt re hs dt hs 2 n How would we write 2. 34 in expanded form? Nice…
![Decimals to Fractions n When writing a decimal as a mixed fraction we must Decimals to Fractions n When writing a decimal as a mixed fraction, we must](https://slidetodoc.com/presentation_image_h/278ca2bb5fb111f90480823588d9b8db/image-5.jpg)
Decimals to Fractions n When writing a decimal as a mixed fraction, we must state how many wholes there and then what part of another whole by combining everything to the right of the decimal place. n How would we write 2. 34 as 2 3 4 a mixed fraction? on huetes nd nt re hs dt hs n Another way to write a decimal is as a mixed fraction. Good…
![Decimals to Fractions n n A third way to write a decimal is just Decimals to Fractions n n A third way to write a decimal is just](https://slidetodoc.com/presentation_image_h/278ca2bb5fb111f90480823588d9b8db/image-6.jpg)
Decimals to Fractions n n A third way to write a decimal is just as a single fraction. When writing a decimal as a single fraction, we must combine all place values together. 3 4 on huetes nd nt re hs dt hs 2 n How would we write 2. 34 as a single fraction? Good…
![Fractions to Decimals n n a d As we have discussed all decimal numbers Fractions to Decimals n n a) d) As we have discussed, all decimal numbers](https://slidetodoc.com/presentation_image_h/278ca2bb5fb111f90480823588d9b8db/image-7.jpg)
Fractions to Decimals n n a) d) As we have discussed, all decimal numbers are fractions with a denominator that is a power of 10 (e. g. tenths, hundredths). Consider the following fractions. How would you write the following as decimals? = 0. 3 = 2. 6 b) e) = 0. 06 = 35. 24 c) = 0. 52 f) = 1. 07
![Fractions to Decimals Suppose the fraction was This fraction is not in tenths or Fractions to Decimals Suppose the fraction was. This fraction is not in tenths or](https://slidetodoc.com/presentation_image_h/278ca2bb5fb111f90480823588d9b8db/image-8.jpg)
Fractions to Decimals Suppose the fraction was. This fraction is not in tenths or hundredths. What could we do to write this fraction as a decimal? Excellent…we could get an equivalent fraction for 2/5. n n Now that we have 2/5 written with a base-10 denominator, how could we write 2/5 as a decimal? Awesome… = 0. 4
![Fractions to Decimals n a Consider the following fractions How would you write the Fractions to Decimals n a) Consider the following fractions. How would you write the](https://slidetodoc.com/presentation_image_h/278ca2bb5fb111f90480823588d9b8db/image-9.jpg)
Fractions to Decimals n a) Consider the following fractions. How would you write the following as decimals? b) c)
![Partner Work n You have 20 minutes to work on the following problems with Partner Work n You have 20 minutes to work on the following problems with](https://slidetodoc.com/presentation_image_h/278ca2bb5fb111f90480823588d9b8db/image-10.jpg)
Partner Work n You have 20 minutes to work on the following problems with your partner.
![For those that finish early What number does each letter represent A 0 C For those that finish early What number does each letter represent? A 0 C](https://slidetodoc.com/presentation_image_h/278ca2bb5fb111f90480823588d9b8db/image-11.jpg)
For those that finish early What number does each letter represent? A 0 C B 0. 05 0. 1 E D 0. 15 0. 25
![Big Idea from Todays Lesson n We can represent the same decimal number in Big Idea from Today’s Lesson n We can represent the same decimal number in](https://slidetodoc.com/presentation_image_h/278ca2bb5fb111f90480823588d9b8db/image-12.jpg)
Big Idea from Today’s Lesson n We can represent the same decimal number in many different ways. n n In expanded form, mixed fraction form, or as a single fraction. One way to go from a fraction to a decimal is to get the fraction to have a denominator that is a power of 10.
![Homework n n Complete Homework Worksheet Pg 155 2 3 15 17 18 Homework n n Complete Homework Worksheet. Pg. 155 (2, 3, 15, 17, 18)](https://slidetodoc.com/presentation_image_h/278ca2bb5fb111f90480823588d9b8db/image-13.jpg)
Homework n n Complete Homework Worksheet. Pg. 155 (2, 3, 15, 17, 18)
Changing decimals to fractions and vice versa
A percent is a fraction whose denominator is 100
Converting between percents decimals and fractions
Conversion of work into heat and vice versa
Converting fractions to decimals lesson
Decimal into mixed number
Compare fractions and decimals
How to multiply fractions with decimals
Order positive and negative integers decimals and fractions
Addition of binary numbers
What
Multi step equations with fractions
Lesson 5 decimals and fractions
Roots of decimals and fractions