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Chapter 1 Math Vocabulary. 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. 1-1. Individual numbers within the standard number Examples
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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 1-1 • Individual numbers within the standard number • Examples 32,456 any of these numbers are digits
You will understand and use the math vocabulary of chapter 1 to solve problems. Standard Form 1-1 • Uses digits and place value • Examples 81, 234 45 1289
You will understand and use the math vocabulary of chapter 1 to solve problems. Whole Number 1-1 • The counting numbers • Examples 1, 2, 3, 4, 5, 100, 2300, 170000 NO 0
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 16 10 Less than 7 12
You will understand and use the math vocabulary of chapter 1 to solve problems. Estimate 1-2 • Close to the actual answer • Example 5+4 10 113+27 140
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 1-3 • The answer to an addition (+) problem or to add (+) • Examples 4+6=10 Find the sum of 1 and 2 means 1+2
You will understand and use the math vocabulary of chapter 1 to solve problems. Commutative Property of Addition 1-3 • 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?
You will understand and use the math vocabulary of chapter 1 to solve problems. Associative Property of Addition 1-3 • 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?
You will understand and use the math vocabulary of chapter 1 to solve problems. Identity Property of Addition 1-3 • 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?
You will understand and use the math vocabulary of chapter 1 to solve problems. Order of Operations 1-4 • Tells which steps should be solved first from left to right (PEMDAS) • FirstParenthesis () or Exponents 5 2 • SecondMultiplication x or Division • ThirdAdd + or Subtract – • 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 1-4 • Means the same as answer • Examples Find the value for 10x0 0 Find the value for 5-2 3
You will understand and use the math vocabulary of chapter 1 to solve problems. Expression 1-4 • A symbol or combination of symbols (numbers and x,+, -, /) that represent a value • Examples 11+6x2 33/11+1
You will understand and use the math vocabulary of chapter 1 to solve problems. Expanded Form 1-5 • 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
You will understand and use the math vocabulary of chapter 1 to solve problems. Expanded Form 1-5 • 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
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 1-7 • Estimate by adding the “front-end digits” • Examples 3.035+14.7+1.12 = 3 + 15 + 1 Notice that 14.7 rounds to 15
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 Does it make sense that 35+37 = 72 ?? Does it make sense that 0x3 = 400 ?? Yes 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