th 5 Grade , By Monica Yuskaitis California Standard Addressed Number Sense Fifth Grade 1.1 Estimate, round, & manipulate very large…numbers. Objectives Be able to read numbers to billions Be able to identify the place value of each digit in numbers up to one billion Know how to write a number in word form Vocabulary Digits – numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 Place value – tells you how much each digit stands for Vocabulary Standard form – A number written with one digit for each place value. 123,789 Word form – A number written in words. One hundred twenty-three thousand, seven hundred eighty-nine Vocabulary Short Word Form – A number written in both words and numbers. Write the numbers between the commas and then write the name of the period those numbers represent. 3,698,123,789 3 trillion, 698 million, 123 thousand, 789 Vocabulary Expanded form – A way to write numbers that shows the place value of each digit. 100,000 + 20,000 + 3,000 + 700 + 9 = 123, 709 Vocabulary Ones Thousand Million Periods – A group of 3 places used for the digits in large numbers. Periods are usually separated by commas. Billion 684,367,671,690,492 The binoculars magnify the otter. (Trillion, billion, million, thousand, ones.) Which period is missing? Ones Thousand Billion Million 684,367,671,690,492 Which period is missing? Ones Million Billion Thousand 684,367,671,690,492 Which period is missing? Ones Thousand Million Billion Trillion 684,367,671,690,492 Which period is missing? Thousand Million Billion Ones 684,367,671,690,492 Which period is missing? Ones Thousand Million Billion 684,367,671,690,492 Ones Thousand Million Billion What are the periods of this number? 684,367,671,690,492 Remember that each period has three place values within the period 684,367,671,690,492 What place is the yellow number in? hundred billion 684,367,671,690,492 What place is the yellow number in? ten million 684,367,671,690,492 What place is the yellow number in? (one) billion 684,367,671,690,492 What place is the yellow number in? ten thousand 684,367,671,690,492 What place is the yellow number in? ten billion 684,367,671,690,492 What place is the yellow number in? (one) million 684,367,671,690,492 What place is the yellow number in? hundred million 684,367,671,690,492 What place is the yellow number in? hundred thousand 684,367,671,690,492 What place is the yellow number in? (one) thousand 684,367,671,690,492 What place is the yellow number in? (one) trillion 684,367,671,690,492 What place value is the 3 in this number? 264,789,134 ten What place value is the 8 in this number? 4,829,905 hundred thousand What place value is the 9 in this number? 4,829,105 thousand What place value is the 5 in this number? 654,829,103 ten million What place value is the 6 in this number? 654,829,105 hundred million What place value is the 2 in this number? 254,789,103 hundred million What place value is the 3 in this number? 234,789,104 ten million What place value is the 7 in this number? 254,729,103 hundred thousand What place value is the 4 in this number? 4,829,105 million What place value is the 2 in this number? 4,829,105 ten thousand How to read large numbers Ones Thousand Million Billion Read the numbers before the comma as if you were reading in the one’s column. Say the period you are in when you get to the comma except for the one’s period. 684,367,671,690,492 Tip Do not use “and” when reading whole numbers. The word “and” will be used when you are reading numbers with decimals. 690,492 Six hundred and ninety-thousand, and four hundred and ninety-two. Use the short word form to help you read large numbers Read this number 384,133,472 384 million, 133 thousand, 472 three hundred eighty-four million, one hundred thirty-three thousand, four hundred seventy-two Read this number 1,874,304,039,270 1 trillion, 874 billion, 304 million, 39 thousand, 270 one trillion, eight hundred seventyfour billion, three hundred four million, thirty-nine thousand, two hundred seventy Read this number 24,829,905 24 million, 829 thousand, 905 twenty-four million, eight hundred twenty-nine thousand, nine hundred five Read this number 973,104 973 thousand, 104 nine hundred seventy-three thousand, one hundred four Read this number 4,371,024 4 million, 371 thousand, 24 four million, three hundred seventy-one thousand, twenty-four Read this number 864,371,029 864 million, 371 thousand, 29 eight hundred sixty-four million, three hundred seventy-one thousand, twenty-nine Read this number 36,454,297,004 36 billion, 454 million, 297 thousand, 4 thirty-six billion, four hundred fifty-four million, two hundred ninety-seven thousand, four Read this number 9,356,094,064 9 billion, 356 million, 94 thousand, 64 nine billion, three hundred fifty-six million, ninety-four thousand, sixty-four Review Standard form – A number written with one digit for each place value. 123,789 Word form – A number written in words. One hundred twenty-three thousand, seven hundred eighty-nine Review Expanded form – A way to write numbers that shows the place value of each digit. 100,000 + 20,000 + 3,000 + 700 + 9 = 123, 709 What is the standard form of? 104,367 104,367 What is the expanded form of? 104,367 100,000 + 4,000 + 300 + 60 + 7 What is the expanded form of? 9,356,803 9,000,000 + 300,000 + 50,000 + 6,000 + 800 + 3 What is the standard form of? 200,000,000 + 9,000,000 + 6,000 + 800 + 20 + 3 209,006,823 What is the word form of? 1,014,367 one million, fourteen thousand, three hundred sixty-seven What is this number in standard form? ninety thousand, four hundred eight 90,408 What is this number in standard form? seven million, twenty-two thousand, two hundred 7,022,200 What is this number in expanded form? 7,021,500 7,000,000 + 20,000 + 1,000 + 500 Credits Clipart from “Microsoft Clip Gallery” located on the Internet at http://cgl.microsoft.com/ clipgallerylive/default.asp •Clipart from ClickArt 125,000 Deluxe Image Pak, T/Maker Co., Broderbund Software, Inc.
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