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Questions and Answers
What is the set of numbers that includes all positive integers, including 0?
What is the set of numbers that includes all positive integers, including 0?
What is the operation of combining two or more whole numbers to get a total or a sum?
What is the operation of combining two or more whole numbers to get a total or a sum?
What is the property of operations where the order of numbers does not change the result?
What is the property of operations where the order of numbers does not change the result?
What is the digit to the left of the ones place, representing groups of 10?
What is the digit to the left of the ones place, representing groups of 10?
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What is the process of rounding a number to the nearest whole number by dropping the decimal part?
What is the process of rounding a number to the nearest whole number by dropping the decimal part?
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What is the result of multiplying a number by a sum is the same as multiplying by each addend separately?
What is the result of multiplying a number by a sum is the same as multiplying by each addend separately?
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Study Notes
Whole Numbers
- A set of numbers that includes all positive integers, including 0
- Example: 0, 1, 2, 3, ...
Operations with Whole Numbers
- Addition: combining two or more whole numbers to get a total or a sum
- Subtraction: finding the difference between two whole numbers
- Multiplication: repeating a whole number a certain number of times to get a product
- Division: sharing a whole number into equal parts or groups
Properties of Operations
-
Commutative Property: the order of numbers does not change the result
- Example: 2 + 3 = 3 + 2
-
Associative Property: the order in which numbers are grouped does not change the result
- Example: (2 + 3) + 4 = 2 + (3 + 4)
-
Distributive Property: multiplying a number by a sum is the same as multiplying by each addend separately
- Example: 2 × (3 + 4) = 2 × 3 + 2 × 4
Place Value
- Ones Place: the rightmost digit in a number, representing individual units
- Tens Place: the digit to the left of the ones place, representing groups of 10
- Hundreds Place: the digit to the left of the tens place, representing groups of 100
- Thousands Place: the digit to the left of the hundreds place, representing groups of 1000
Rounding Numbers
- Rounding Down: rounding a number to the nearest whole number by dropping the decimal part
- Rounding Up: rounding a number to the nearest whole number by adding 1 to the whole number part if the decimal part is 0.5 or greater
Whole Numbers
- A set of numbers including all positive integers and 0
- Examples: 0, 1, 2, 3, ...
Operations with Whole Numbers
- Addition: combining whole numbers to get a total or sum
- Subtraction: finding the difference between whole numbers
- Multiplication: repeating a whole number a certain number of times to get a product
- Division: sharing a whole number into equal parts or groups
Properties of Operations
Commutative Property
- The order of numbers does not change the result
- Example: 2 + 3 = 3 + 2
Associative Property
- The order in which numbers are grouped does not change the result
- Example: (2 + 3) + 4 = 2 + (3 + 4)
Distributive Property
- Multiplying a number by a sum is the same as multiplying by each addend separately
- Example: 2 × (3 + 4) = 2 × 3 + 2 × 4
Place Value
Ones Place
- Rightmost digit in a number, representing individual units
Tens Place
- Digit to the left of the ones place, representing groups of 10
Hundreds Place
- Digit to the left of the tens place, representing groups of 100
Thousands Place
- Digit to the left of the hundreds place, representing groups of 1000
Rounding Numbers
Rounding Down
- Rounding a number to the nearest whole number by dropping the decimal part
Rounding Up
- Rounding a number to the nearest whole number by adding 1 to the whole number part if the decimal part is 0.5 or greater
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Description
Learn about whole numbers, operations such as addition, subtraction, multiplication, and division, and properties of operations. Understand how to perform calculations and apply mathematical rules.
