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Introduction to Decimals

Introduction to Decimals. Introduction to Decimals. Where do you use decimals?. The decimal point is the separator between the whole part and fractional part. 10,379.2568. A decimal can be written as a fraction. Introduction to Decimals. YTI#2: Name each decimal in words.

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Introduction to Decimals

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  1. Introduction to Decimals

  2. Introduction to Decimals Where do you use decimals? The decimal point is the separator between the whole part and fractional part. 10,379.2568 A decimal can be written as a fraction.

  3. Introduction to Decimals YTI#2:Name each decimal in words. a) .04 b) .009 c) .031 d) .20 Decimal Fractions: Any fraction with a denominator that is a power of ten. YTI#3:Write decimal as a fraction. a) .3 b) .197 c).07 d) .0086

  4. Introduction to Decimals Writing & Reading Decimals: 1) Read the whole number 2) Read “and” in place of the decimal 3) Read the fractional part as a whole number with the name of the place of the last digit to the right. Example:Put in written form. a) 5.398 b) 12.0075 Example:Write in decimal form a) fifteen thousandths b) sixty-two and forty-three hundreths c) six hundred and five thousandths Example:Write $356.43, like you would on a check.

  5. Introduction to Decimals Writing Mixed Numbers as Decimal Fractions YTI#5:Write as an improper fraction & mixed number. a) 3.51 d) 7.012

  6. Introduction to Decimals Writing Decimal Fractions as Decimals: In a decimal fraction  # of zeros in the denominators power of ten indicates the # of decimal places the number will contain. YTI#6:Write as a decimal. a) c) d) e) 87 10 504 10 6 100 98 1000 Place Value & Powers of 10: Let’s look at 25…..Are the following the same number? 025 0025 00025

  7. Introduction to Decimals Let’s look at….. 1 5 2 10 20 10 The zeros at the end of a decimal number don’t effect the number. Let’s look at money: $10.2 $4

  8. Introduction to Decimals Types of Decimals: Terminating Decimals: Decimals that end after a few places. Ex. 1.25 Non-Terminating Decimals: Decimals that don’t end or terminate. Ex. 3.141592653589…….. Repeating Decimals: Nonterminating decimals that have a repeating pattern of the same number. Ex. 1.251251251251251…… a) 4.37213213213213…. b) .012323232323…. c) .12121212… d) .66666….

  9. Introduction to Decimals Ex:The number of decimal places in the decimal determines the number of zeros in the power of 10 in the denominator. a) .005 b) .072 c) 2.015 d) 52.027 Ex:Writing fractions as decimals. a) 17 b) 72 100 100 c) 3 d) 252 10 1000

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