Understanding Place Value and Decimal Relationships
Dive into the world of numbers with lessons on place value, comparing whole numbers, and the relationship between fractions and decimals. Explore examples, standard forms, expanded forms, and learn how to order decimals. Enhance your knowledge with visual aids and detailed explanations.
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Presentation Transcript
CHAPTER 1 PLACE VALUE
LESSON 1 PLACE VALUE THROUGH MILLIONS Standard form: 804,932,008 *Each group of three digits is called a period and is separated by a comma Word form: eight hundred four million, nine hundred thirty-two thousand, eight *When you get to the comma, say the period * Expanded form: 8 x 100,000,000 + 4x 4,000,000 + 9x 100,000 + 3 x 10,000 + 2 x 1,000 + 8 *Split up the number using place value. For example, an 8 in the hundred millions place equals 8 x 100,000,000.
LESSON 2 COMPARE AND ORDER WHOLE NUMBERS You can line up the numbers to compare Example: 76,552 76,852 76,552 76,852 5 < 8 so 76,552 < 76,852
LESSONS 3 & 4 RELATING FRACTIONS AND DECIMALS Examples: 7 17 = 0.7 = 0.017 54 = 0.54 10 100 1,000
LESSONS 5 & 6 PLACE VALUE OF DECIMALS Word form 0.55 1. Say the decimal as a whole number fifty-five 2. Label the place value. In what column does the number end? hundredths Word form is fifty-five hundredths
LESSONS 5 & 6 PLACE VALUE OF DECIMALS Standard form twenty-seven thousandths 1. What is the place value? Thousandths = 0. __ __ __ 2. Place the numbers to the right 0. 0 2 7 Standard form is 0.027
LESSONS 5 & 6 PLACE VALUE OF DECIMALS Expanded form 0.95 Multiply each number by it s place value. 0.95 = (9 x 1/10) + (5x 1/100)
LESSONS 7 & 8 COMPARE AND ORDER DECIMALS You can line up the numbers to compare Example: 0.592 0.512 0.592 0.512 9 > 1 so 0.592 > 0.512
