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Learning Goal You will understand and use the math vocabulary of chapter 1 to solve problems. You will understand and use the math vocabulary of chapter 1 to solve problems. Digits Individual numbers within the standard number Examples 32,456 any of these numbers are digits 1-1 You will understand and use the math vocabulary of chapter 1 to solve problems. Standard Form Uses digits and place value Examples 81, 234 45 1289 1-1 You will understand and use the math vocabulary of chapter 1 to solve problems. Whole Number The counting numbers Examples 1, 2, 3, 4, 5, 100, 2300, 170000 NO 0 1-1 You will understand and use the math vocabulary of chapter 1 to solve problems. Compare 1-1 A symbol that shows which value is larger and smaller ( ) Examples Greater than Less than 16 7 10 12 You will understand and use the math vocabulary of chapter 1 to solve problems. Estimate Close to the actual answer Example 5+4 10 113+27 140 1-2 You will understand and use the math vocabulary of chapter 1 to solve problems. Rounding 1-2 Process of changing a number to replace its value with another value that is approximately equal The number goes up if it is 5, 6, 7, 8, 9 The number remains the same or goes down if it is 1, 2, 3, 4 Examples 13 is rounded to 10 27 is rounded to 30 15 is rounded to 20 You will understand and use the math vocabulary of chapter 1 to solve problems. Compatible Number 1-2 Are numbers that are well matched and used during estimation Examples 29/6.5 28/7=4 (the 29 becomes 28 and 6.5 becomes 7 to find an estimated answer of 4) 32+5 30+5=35 (the 32 becomes 30 to find an estimated answer of 35) You will understand and use the math vocabulary of chapter 1 to solve problems. Sum The answer to an addition (+) problem or to add (+) Examples 4+6=10 Find the sum of 1 and 2 means 1+2 1-3 You will understand and use the math vocabulary of chapter 1 to solve problems. Commutative Property of Addition Changing the order of numbers in an addition problem will NOT change the sum Examples 5+9=9+5 4+6=10 and 6+4=10 Think about it: Is this rule also true for multiplication, subtraction, and/or division? 1-3 You will understand and use the math vocabulary of chapter 1 to solve problems. Associative Property of Addition Changing the grouping of numbers in an addition problem will NOT change the sum Examples (9+5)+4=9+(4+5) Think about it: Is this rule also true for multiplication, subtraction, and/or division? 1-3 You will understand and use the math vocabulary of chapter 1 to solve problems. Identity Property of Addition The sum of 0 and any number is that number Examples 0+6=6 4+0=4 1000+0=1000 Think about it: Is this rule also true for multiplication, subtraction, and/or division? 1-3 You will understand and use the math vocabulary of chapter 1 to solve problems. Order of Operations Tells which steps should be solved first from left to right (PEMDAS) First Parenthesis () or Exponents 5 Second Multiplication x or Division Third Add + or Subtract – 1-4 2 Examples 4+6x2 the 6x2 needs to be done first 4+12=16 You will understand and use the math vocabulary of chapter 1 to solve problems. Value Means the same as answer Examples Find the value for 10x0 0 Find the value for 5-2 3 1-4 You will understand and use the math vocabulary of chapter 1 to solve problems. Expression A symbol or combination of symbols (numbers and x,+, -, /) that represent a value Examples 11+6x2 33/11+1 1-4 You will understand and use the math vocabulary of chapter 1 to solve problems. Expanded Form Is the sum (+) that shows place and value of each digit of a number Examples 0.32 = 0.3+0.02 0.10+0.07 = 0.17 1-5 You will understand and use the math vocabulary of chapter 1 to solve problems. Expanded Form Is the sum (+) that shows place and value of each digit of a number Examples 0.32 = 0.3+0.02 0.10+0.07 = 0.17 1-5 You will understand and use the math vocabulary of chapter 1 to solve problems. Decimal Place Value Chart 1-5 Right of the decimal – “ths” You will understand and use the math vocabulary of chapter 1 to solve problems. Difference 1-7 To subtract (-)or to find the answer to a subtraction problem (-) Examples 4-2=2 Find the difference of 2 and 1 means 2-1 You will understand and use the math vocabulary of chapter 1 to solve problems. Front- end Estimation Estimate by adding the “front-end digits” Examples 3.035+14.7+1.12 = 3 + 15 + 1 Notice that 14.7 rounds to 15 1-7 You will understand and use the math vocabulary of chapter 1 to solve problems. Check for Reasonableness 1-7 Check to see if your answer makes sense Examples Yes Does it make sense that 35+37 = 72 ?? Does it make sense that 0x3 = 400 ?? No You will understand and use the math vocabulary of chapter 1 to solve problems. Product 1-8 To multiply (x)or to find the answer to a multiplication problem (x) Examples 4x2=8 Find the product of 2 and 1 means 2x1 You will understand and use the math vocabulary of chapter 1 to solve problems. Quotient 1-9 To divide (/ or )or to find the answer to a division problem (/ or ) Examples 4/2=2 Find the quotient of 2 and 1 means 2 1