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Term 1 - Exploring whole numbers
( Number Operations & Number Theory )
Module : 1 - Capturing Data Unit 1 : Numbers Made Easy |
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History Of Numbers | |||||
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Sets Of Numbers - ( Descriptions , Definitions & examples ) | ||||
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Name the Set | |||||
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Describe the Set | |||||
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Matching the Set | |||||
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Use Of Numbers by Early Man & The Babylonians (over 3000 yrs ago) | ||||
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Convert Numbers - From Babylonians Days To Present | |||||
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Convert Numbers - From Present Days To Babylonians Days | |||||
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From Babylonians To Bar Codes ( bars to decimal) | |||||
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Use Of Numbers by - The Ancient Egyptians | ||||
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Convert From Ancient Egyptian To Decimal | |||||
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Convert From Decimal To Ancient Egyptian | |||||
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Sequencing with Ancient Egyptian numbers | |||||
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Use Of Numbers by - The Maya Indians Of Mexico & America | ||||
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Convert From Ancient Maya To Decimal | |||||
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Convert From Decimal To Ancient Maya | |||||
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Sequencing with Ancient Maya numbers | |||||
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Roman Numerals (used for over 2,000 years ) | ||||
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Convert Numbers - From Roman Numerals To Decimal | |||||
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Convert Numbers - From Decimal To Roman Numerals | |||||
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Sequencing - Roman Numerals | |||||
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Today's Decimal and Binary Numbering Systems | ||||
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Convert Numbers - From Binary To Decimal | |||||
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Convert Numbers - From Decimal To Binary | |||||
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Sequencing - Binary & Decimal | |||||
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Number Theory ( properties, rules, types, etc. ) | |||||
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Mathematics - Properties and Rules | ||||
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Properties of Math Operations (i) | |||||
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Properties of Math Operations (ii) | |||||
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Rules for Mathematics | |||||
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Rules for Mathematics (examples) | |||||
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Problems using Mathematical Rules | |||||
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Mathematics - Number Types | ||||
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Number Types - identify | |||||
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Number types (definitions) - examples | |||||
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Number types - examples | |||||
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Number Types - what does not belong | |||||
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Number Types - sequencing | |||||
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Whole Numbers | |||||
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Operations on Whole Numbers | |||||
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Additions | ||||
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Addition using the number line - whole numbers | |||||
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Addition using the number line - quantities | |||||
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Addition with whole numbers | |||||
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Addition ( word problems ) | |||||
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Subtractions | ||||
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Subtraction using the number line - whole numbers | |||||
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Subtraction using the number line - quantities | |||||
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Subtraction with whole numbers | |||||
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Subtraction ( word problems ) | |||||
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Multiplication | ||||
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Multiplication using the number line - whole numbers | |||||
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Multiplication using the number line - quantities | |||||
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Multiplication using the number line - sets | |||||
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Multiplication with whole numbers | |||||
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Long Multiplication with whole numbers | |||||
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Multiplication ( word problems ) | |||||
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Division | ||||
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Division using the number line - whole numbers | |||||
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Division using the number line - quantities | |||||
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Division with whole numbers | |||||
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Long Division with whole numbers | |||||
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Division ( word problems ) | |||||
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Order of Operations - (rules & problems) | ||||
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Rules concerning the order of math operations | |||||
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Problems Involving The Order Of Math Operations - ( whole numbers 1 ) | |||||
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Problems Involving The Order Of Math Operations - ( whole numbers 2 ) | |||||
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Problems Involving The Order Of Math Operations - ( word problems 1 ) | |||||
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Problems Involving The Order Of Math Operations - ( word problems 2 ) | |||||
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Problems Involving The Order Of Math Operations - ( word problems 3 ) | |||||
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Problems Involving The Order Of Math Operations - ( word problems 4 ) | |||||
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Whole Numbers - Index Form | |||||
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Understanding Indices and it's rules | ||||
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Find Repeating Factors | |||||
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Basic rules & facts | |||||
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Converting To Index Form | ||||
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Evaluate The Index Numbers. | |||||
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Convert To Index Form. | |||||
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Index Problems (converting to powers of 10, etc.) | ||||
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Express indexed expressions & expanded numbers as whole nos. | |||||
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Express Whole Numbers As Base 10 Exponents. | |||||
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Whole Numbers - Sequences and Patterns | |||||
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Recognizing Patterns - additions | ||||
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Simple Patterns - The Number Square. | |||||
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Interesting Patterns - The Number Square. | |||||
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Recognizing Patterns - multiplications | ||||
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Simple Patterns - The Multiplication Table. | |||||
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Interesting Patterns - The Multiplication Table. | |||||
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Recognizing Patterns - Pascal's Triangle and Other Relationships | ||||
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Pascal' s Triangle. | |||||
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Other Patterns - (coordinates ). | |||||
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Rational Numbers | |||||
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Fundamental Properties and Special Operations | |||||
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Properties & Facts | ||||
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Identify The Properties I | |||||
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Identify The Properties II | |||||
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Match The Properties | |||||
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Equivalent Fractions | ||||
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Factoring Fractions | |||||
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Simplifying Fractions | |||||
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Find Equivalent Fractions | |||||
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Changing Denominators in Fractions | |||||
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Ordering Fractions | |||||
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Lowest Common Multiple (LCM) & LCD. (lowest common denominator) | ||||
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Finding Multiples of numbers | |||||
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Finding Prime Factors of numbers | |||||
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Finding LCM / LCD - Using common multiples | |||||
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Finding LCM / LCD - Using prime factors | |||||
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Highest Common Factor (HCF) or GCD. (greatest common factor) | ||||
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Finding Prime Factors of numbers | |||||
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Finding Common Factors in Numbers | |||||
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Finding The (Highest Common Factor ) HCF or GCF | |||||
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Converting Fractions | ||||
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Converting Mixed Numbers To Improper fractions | |||||
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Converting Improper fractions To Mixed Numbers | |||||
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Converting Fractions To Decimals | |||||
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Converting Decimals To Fractions | |||||
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Converting To and From - Pictorial Representation | |||||
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Multiplication Of Rational Numbers | ||||
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Cancelling common factors when Multiplying | |||||
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Multiplying Fractions | |||||
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Preparing Mixed Numbers for multiplication | |||||
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Multiplying Mixed Numbers | |||||
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Division Of Rational Numbers | ||||
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Divide - Fractions | |||||
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Divide Mixed Numbers | |||||
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Addition and Subtraction Of Rational Numbers | ||||
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Addition & Subtraction Of Fractions | |||||
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Addition Of Mixed Numbers | |||||
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Subtraction Of Mixed Numbers | |||||
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Ratios And Proportions | |||||
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Working With Ratios | ||||
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Identifying Ratios | |||||
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Creating Ratios | |||||
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Solving Ratio - (unknown quantities ) | |||||
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Simplifying Ratios | |||||
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Finding The LCD of Ratios - ( LCM ) | |||||
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Sorting Ratios | |||||
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Working With Proportions | ||||
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Proportions - Equal Ratios | |||||
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Equivalent Ratios | |||||
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Solving Direct Proportions - ( The Unitary method ) | |||||
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Solving Direct Proportions - ( Creating variables ) | |||||
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Applications involving rational numbers | |||||
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Decimals | |||||
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Understanding Decimal Fractions | ||||
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Place Value System of Decimals | |||||
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Decimal Numbers - Visual Discrimination | |||||
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Reading A Decimal Numbers Line. | |||||
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From The Numbers Line To Decimal Fractions. | |||||
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Pictorial Representation Of Decimal Fractions | |||||
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Pictorial Representation Of Decimals | |||||
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Comparing Decimal Fractions | |||||
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Rounding Decimals | |||||
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Addition and Subtraction With Decimals | ||||
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Addition of Decimals | |||||
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Subtraction of Decimals | |||||
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Multiplication and Division With Decimals | ||||
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Multiplication with Decimals | |||||
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Multiplying Decimals By Powers Of Ten | |||||
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Division with Decimals | |||||
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Dividing Decimals By Powers Of Ten | |||||
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Problems In Science And Real Applications Involving Decimals | |||||
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Approximations and Estimations | |||||
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Rounding Whole Numbers | ||||
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Front End Rounding | |||||
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Rounding To The Nearest Ten | |||||
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Rounding To The Nearest Hundred | |||||
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Rounding To The Nearest Thousand | |||||
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Approximating Whole Numbers As An Amount Of Tens, Hundreds, Etc. | ||||
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Approximating The amount of Tens | |||||
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Approximating The amount of Hundreds | |||||
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Approximating The amount of Thousands | |||||
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Approximating and Estimating Your Calculations | ||||
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Approximation - Using Front-end rounding | |||||
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Approximation - Using number of tens/hundreds, rounding. | |||||
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