Identify Place are needed to fill the blue block? Values What is - PDF document

Slide 1 / 183 Slide 2 / 183 Table of Contents Decimals Define & Review Vocabulary Identify Place Values Read and Write Decimals Compare & Order Decimals Round Numbers to Designated Place Values Relate Fractions, Decimals & Percents Decimal Operations Real Life Applications Slide 3 / 183 Slide 4 / 183 What is a decimal Define & Review number? Vocabulary Move me to find out! A Decimal Number ( based on the number 10 ) contains a Decimal Point. Return to Table of Contents Slide 5 / 183 Slide 6 / 183 Yellow Rod How many yellow rods Identify Place are needed to fill the blue block? Values What is the value of a yellow rod? Blue Block One Unit Red Block How many red blocks are needed to fill the blue block? (Hint: Fill a yellow rod with red Return to blocks) Table of What is the value of a red block? Contents

Slide 7 / 183 Slide 8 / 183 Place Value Chart hundred thousand ten thousandth hundred thousand ten thousand thousandth h hundredth t ten thousand thousand d hundred n NOTE: thousandth a million hundredth PULL thousand s CAN BE tenth hundred u one and o million ten STUDEN h tenth t d e ten n n n e o a t 9, 8 7 5, 6 1 0 . 4 7 9 4 . . . . This number is read: . Nine million, eight hundred seventy-five thousand, . six hundred ten AND four thousand, seven hundred . ninety-four ten thousandths . . Remember the place values after the decimal point . start with tenths . Slide 9 / 183 Slide 10 / 183 What digit is in the thousandths place? 1 2 What digit is in the hundreds place? 4,567,098.2318 6,789.043 A A 7 7 B 1 4 B C 3 3 C D 8 0 D Slide 11 / 183 Slide 12 / 183 3 What digit is in the millionths place? 4 What digit is in the tens place? 6,754,123.945678 5,432.981 4 A A 6 B 1 B 7 9 C 8 C 3 D 4 D

Slide 13 / 183 Slide 14 / 183 Can you read the number? 5 What digit is in the ten thousands place? thousandths s thousands h hundreds t d e tenths 543,127.9832 r ones d tens and n u h 0 . 0 7 A 3 5 4 6 . 2 5 9 B 4 8 . 3 C 2 D 5 0 . 8 9 0 . 0 1 1 2 3 5 4 . 6 9 . 7 Slide 15 / 183 Slide 16 / 183 How do you write a decimal in words? 1. Look to see if there is a number to the left of the decimal; if so write it out. If there is no number to the Read & Write left of the decimal, skip to step 3. 2. Write an and for the decimal point. Decimals 3. Write the number in the decimal part. 4. Write the word for the place value of the rightmost digit. Write 13.24 in words Thirteen and twenty-four hundredths Return to Table of Contents Slide 17 / 183 Slide 18 / 183 How does a comma help when writing a decimal Write the decimal in words number? The place value before the comma is always stated. 1) 5.04 Five and four hundredths For example: 2) 146.457 One hundred forty-six and four hundred fifty-seven thousandths 1,547 is written One THOUSAND, five hundred forty-seven 3) .0009 Nine ten-thousandths 6,547,100 is written 4) 6,345.1498 Six thousand, three hundred 6 MILLION, five hundred forty-seven THOUSAND, forty-five and one thousand, four one hundred hundred ninety-eight ten thousandths

Slide 19 / 183 Slide 20 / 183 Use the chart as a guide to write the decimal numbers Writing a decimal numerically thousandths hundredths thousands hundreds tenths ones 1 . If there is a ths , there will be a decimal tens and 2. If there is an and , there will be a whole number to the left of the decimal 3. Note the ending - this is the place where the decimal number will end 1. four hundred nineteen and five hundredths 4. Use the decimal chart to help you! 2. sixty-five and nine thousandths 3. seven thousand, four hundred thirty-three and twenty hundredths 4. six thousand and eight tenths Slide 21 / 183 Slide 22 / 183 Comparing Decimals · Line up all of the decimal points · Put zeros in wherever digits are missing · Compare the digits, from left to right Compare & Order · The largest digit, having the same place value, names the largest number Decimals Example: Why is 910.800 this the 085.007 smallest 910.801 What digit tells us number? 911.900 this is the largest 085.070 Return to number? 1 Table of Contents Compare the digits Slide 23 / 183 Slide 24 / 183 Order from least to greatest 12.405 Order from least to the greatest

Slide 25 / 183 Slide 26 / 183 7 The number with the least value is: 6 The number with the least value is: A 0.01 A 12.001 B 0.011 B 12.011 C 0.001 C 12.0009 D 0.00101 D 12.0019 Slide 27 / 183 Slide 28 / 183 9 The number with the greatest value is: 8 The number with the greatest value is: A 597.65 A 2.9 B 598.09 B 2.99 598.12 C C 2.899 597.605 D D 2.8999 Slide 29 / 183 Slide 30 / 183 10 How much money would you like to win? Round Numbers to Designated Place A 1600.50 B 1599.09 Values C 1601.01 1610.02 D Return to Table of Contents

Slide 31 / 183 Slide 32 / 183 Rounding Decimals Put your pencil point under the digit in the tenths place. Let's learn how to round decimals using the 513.287 following examples: Look to the right. Round 513.287 to the nearest tenths place. Is the digit 5 or more? Yes OR No When rounding decimals, put your pencil point under the place value that you are rounding to What happens to the 2? DO NOT MOVE IT Increases by 1 OR remains the same What happens to everything to the left of the tenths 513.287 place? Those digits always remain the same. Final Answer: 513.3 Slide 33 / 183 Slide 34 / 183 Round 3.14159265 to the nearest hundredths place. What happened to the digits to the right of the First, choose the digit that represents the hundredths tenths place? place. 3.14159265 A B C D Remember, we are rounding. Choose which letter is under the hundredths place. The place values to the right of the tenths place First, put your pencil point under the 4 and look at have zero value, so now the digits 8 and 7 become the digit to the right. Ask yourself: "Is this digit 5 or zeroes. more?" Since it's a 1, the 4 remains a 4, and everything after it becomes a zero. 513.300 = 513.3 3.14000000 = 3.14 Try the next example... 11 Answer? Slide 35 / 183 Slide 36 / 183 Caution! 12 Round When rounding to a specific place, your answer 9876.543219 MUST have a digit in that place. to the nearest hundredths Example: Round 14.95 to the nearest tenth Answer: 15.0 There must be a digit in the tenths place, since we were to round to the tenths place. Try this: Round 345.6982 to the nearest hundredths place Answer: 345.70

Slide 37 / 183 Slide 38 / 183 13 Round 14 Round 9876.543219 9876.543219 to the nearest hundred to the nearest tenths Slide 39 / 183 Slide 40 / 183 15 Round 16 Round 9876.543219 9876.543219 to the nearest thousandths to the nearest unit Slide 41 / 183 Slide 42 / 183 Writing Decimals as Fractions Relate Fractions, Decimals & Percents decimals fractions Return to Table of Contents

Slide 43 / 183 Slide 44 / 183 Writing decimals as fractions... Writing decimals as fractions... Example 1: Example 1: 25 0.25 = 0.25 100 = Move the decimal part of the original number Then count the number of places to the right into the numerator (without the decimal point) of the decimal point. This place value will become your denominator... Slide 45 / 183 Slide 46 / 183 Writing decimals as fractions... Writing decimals as fractions... Example 1: Example 2: 25 1 0.25 = = 4 0.032 = 100 Move the decimal part of the original number Finally, simplify the fraction. into the numerator (without the decimal point) Slide 47 / 183 Slide 48 / 183 Writing decimals as fractions... Writing decimals as fractions... Example 2: Example 2: 32 4 32 0.032 = = 0.032 = 125 1000 1,000 Then count the number of places to the right Finally, simplify the fraction. of the decimal point. This place value will become your denominator...

Slide 49 / 183 Slide 50 / 183 Writing decimals as fractions... Writing decimals as fractions... Example 3: Example 3: 1 4.1 = 4.1 4 = 10 If there is a whole part to the original number, move the whole part to front of the fraction. Can this fraction be reduced? Move the decimal part of the original number into the numerator (without the decimal point) What will the place value be? Slide 51 / 183 Slide 52 / 183 Let's review how to write a decimal as a fraction! 17 Write the decimal as a fraction or mixed number in simplest form: · Numerator is decimal part of the original number 0.85 · Denominator is place value of rightmost digit · Simplify the fraction · Whole numbers are written in front of the fraction Slide 53 / 183 Slide 54 / 183 18 Write the decimal as a fraction or mixed 19 Write the decimal as a fraction or mixed number in simplest form: number in simplest form: 4.375 1.0025