Set up and use a proportion

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1 Daily Do Question from last class Set up and use a proportion If you are driving 70 miles per hour and you have 280 miles to go on the highway part of your trip. How long will it take? adding, subtracting, multiplying and dividing decimals Your Name Mrs. T 8/ /17 Notes 1

2 Objective: To add and subtract decimals by applying the Law of Sameness and applying place value. To multiply and divide decimals. As well as learn Powers of 10 and scientific notation.to be able to use the 10 trick to multiply by powers of 10. To be able to turn any number into scientific notation, and to be able to understand the number being discussed in scientific notation. Virtue/Skill: You will be able to handle money correctly when the register doesn't work. To later apply this understanding to adding, subtracting, multiplying and dividing variables. To learn one way in which trail activities work in this class. Science uses scientific notation when measuring and describing many things, distances or forces that are really big or really small. Law of Sameness: You can only add or subtract things that have the same name. 2

3 Adding Lining up the decimals is the easiest way to line up place values ex Thousands Hundreds Tens Ones.Tenths Hundredths Thousandths ex Subtracting When Borrowing: Always start at the next closest non zero number and carry over to and borrow from each digit until you get to the one you needed to subtract with ex Thousands Hundreds Tens Ones.Tenths Hundredths Thousandths ex

4 Multiplying Is really just saying how many groups of that number. ex. 8.5 x is just 8 groups and a half a group of What to do: First Estimate! That is the best way to know where the decimal goes. After we have multiplied the numbers, we count the number of decimal places and move the decimal from the right that many times towards the left. ex x 8.5 ex x

5 Daily Do Question Answer the following a b x 1.6 Homework Answers pg $ Answers to pg Dividing Is really just saying how many groups of these are in that. ex / 4.01 is how many groups of 4 are in 390 What to do: We would like to forget about the decimal, so we count how many times we need to move the decimal in the divisor so that it is a whole number, then we move the decimal in the divadend the same amount of times. ex.1 Three ways to write your answer when dividing: Remainder Fraction Decimal rounded to nearest 10th ex. 2 Remainder Fraction Decimal rounded to nearest 10th

6 Powers of Ten When you multiply by powers of 10, the number gains place value, simply put the decimal moves to the right the number of times there are 0s in the power of 10 number and if there are extra spots they are filled with 0s. ex x 10 ex x 100 ex x When you multiply by a decimal power of 10, you are really dividing by powers of 10, and the number loses place value, simply put the decimal moves to the left the number of times there are 0s in the power of 10 number and if there are extra spots they are filled with 0s. ex x.1 ex x.001 ex x Scientific Notation When a really big number or small number need to be discussed, they are rounded to three digits, and the number is turned into a number between 1 and 10 using powers of ten. ex x ex x ex x 10 7 If the exponent is positive move that many places to the right, so the number is bigger If the exponent is negative move that many places to the left, so the number is smaller. ex x 10 9 ex x 10 8 ex x 10 7 ex x

7 Turn a # into Scientific Notation How to turn a number into scientific notation. Step 1 Rewrite the number with the first three digits and a decimal after the first (so it's between 1 and 10) Step 2 Count how many places you had to move the decimal to get there, make that the exponent. Step 3 If the number was big, keep the exponent postive, if the number was small, make the exponent negative ex. 1 7,392,534,851,234 ex. 2 4,718,634 ex ex ex x 10 8 ex x 10 7 ex x Summary Objective: To add and subtract decimals by applying the Law of Sameness and applying place value. To multiply and divide decimals. As well as learn Powers of 10 and scientific notation.to be able to use the 10 trick to multiply by powers of 10. To be able to turn any number into scientific notation, and to be able to understand the number being discussed in scientific notation. Virtue/Skill: You will be able to handle money correctly when the register doesn't work. To later apply this understanding to adding, subtracting, multiplying and dividing variables. To learn one way in which trail activities work in this class. Science uses scientific notation when measuring and describing many things, distances or forces that are really big or really small. Assignment: Workbooks pg. 23,28,32,34,36 7

8 Exit Questions 1. Answer the following a b c write the remainder x as a decimal rounded to the nearest 100th place 8

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