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Decimals Explained: Introduction, Writing, & Types

Learn about decimals, their uses, and conversion to fractions. Practice writing and reading decimals, including mixed numbers, money format, and recognizing different types of decimals. Understand place value and powers of 10 in decimals.

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Decimals Explained: Introduction, Writing, & Types

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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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