Math worksheet for identifying properties of mathematics with examples and space for answers.
Worksheet titled "Identify the Properties of Mathematics" with 15 numbered statements about math properties, space for name, teacher, score, and date, and a Math-Aids.com logo.
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Show Answer Key & Explanations
Step-by-step solution for: Properties Worksheets | Properties of Mathematics Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Properties Worksheets | Properties of Mathematics Worksheets
Here is the completed worksheet with the correct mathematical property identified for each statement:
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1) The product of any number and one is that number. For example a x 1 = a.
✔ Multiplicative Identity Property
> *Explanation:* Multiplying any number by 1 leaves it unchanged. 1 is called the multiplicative identity.
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2) Adding 0 to any number leaves it unchanged. For example a + 0 = a.
✔ Additive Identity Property
> *Explanation:* Adding 0 to any number doesn’t change its value. 0 is the additive identity.
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3) If you subtract the same number from both sides of an equation, the equation is still true. For example if a = b, then a - c = b - c.
✔ Subtraction Property of Equality
> *Explanation:* You can subtract the same quantity from both sides of an equation without changing the equality.
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4) When three or more numbers are multiplied, the product is the same regardless of the order of the multiplicands. For example (a x b) x c = a x (b x c)
✔ Associative Property of Multiplication
> *Explanation:* Grouping doesn’t matter when multiplying — you can regroup the numbers and get the same result.
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5) When three or more numbers are added, the sum is the same regardless of the grouping of the addends. For example (a + b) + c = a + (b + c)
✔ Associative Property of Addition
> *Explanation:* Grouping doesn’t affect the sum — parentheses can be moved without changing the total.
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6) If you add the same number to both sides of an equation, the equation is still true. For example if a = b, then a + c = b + c.
✔ Addition Property of Equality
> *Explanation:* Adding the same value to both sides preserves the equality.
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7) Multiplying any number by 0 yields 0. For example a x 0 = 0.
✔ Zero Property of Multiplication
> *Explanation:* Any number multiplied by zero equals zero.
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8) If you divide the same number to both sides of an equation, the equation is still true. For example if a = b, then a / c = b / c.
✔ Division Property of Equality
> *Explanation:* Dividing both sides of an equation by the same non-zero number maintains equality.
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9) If you multiply the same number to both sides of an equation, the equation is still true. For example if a = b, then a x c = b x c.
✔ Multiplication Property of Equality
> *Explanation:* Multiplying both sides by the same number preserves the equality.
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10) The sum of two numbers times a third number is equal to the sum of each addend times the third number. For example a x (b + c) = a x b + a x c
✔ Distributive Property
> *Explanation:* Multiplication distributes over addition: a(b + c) = ab + ac.
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11) The multiplicative inverse of a number, a is 1/a so that a x 1/a = 1.
✔ Multiplicative Inverse Property
> *Explanation:* Every non-zero number has a reciprocal (inverse) such that their product is 1.
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12) When two numbers are added, the sum is the same regardless of the order of the addends. For example a + b = b + a
✔ Commutative Property of Addition
> *Explanation:* Order doesn’t matter in addition — switching the addends doesn’t change the sum.
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13) The sum of any number and zero is the original number. For example a + 0 = a.
✔ Additive Identity Property
> *Note:* This is the same as #2 — both describe the additive identity. So again: Additive Identity Property
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14) When two numbers are multiplied together, the product is the same regardless of the order of the multiplicands. For example a x b = b x a
✔ Commutative Property of Multiplication
> *Explanation:* Order doesn’t matter in multiplication — switching the factors doesn’t change the product.
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15) The additive inverse of a number, a is -a so that a + (-a) = 0.
✔ Additive Inverse Property
> *Explanation:* Every number has an opposite (additive inverse) such that their sum is zero.
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1. Multiplicative Identity Property
2. Additive Identity Property
3. Subtraction Property of Equality
4. Associative Property of Multiplication
5. Associative Property of Addition
6. Addition Property of Equality
7. Zero Property of Multiplication
8. Division Property of Equality
9. Multiplication Property of Equality
10. Distributive Property
11. Multiplicative Inverse Property
12. Commutative Property of Addition
13. Additive Identity Property
14. Commutative Property of Multiplication
15. Additive Inverse Property
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Let me know if you’d like this formatted as a printable answer sheet!
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1) The product of any number and one is that number. For example a x 1 = a.
✔ Multiplicative Identity Property
> *Explanation:* Multiplying any number by 1 leaves it unchanged. 1 is called the multiplicative identity.
---
2) Adding 0 to any number leaves it unchanged. For example a + 0 = a.
✔ Additive Identity Property
> *Explanation:* Adding 0 to any number doesn’t change its value. 0 is the additive identity.
---
3) If you subtract the same number from both sides of an equation, the equation is still true. For example if a = b, then a - c = b - c.
✔ Subtraction Property of Equality
> *Explanation:* You can subtract the same quantity from both sides of an equation without changing the equality.
---
4) When three or more numbers are multiplied, the product is the same regardless of the order of the multiplicands. For example (a x b) x c = a x (b x c)
✔ Associative Property of Multiplication
> *Explanation:* Grouping doesn’t matter when multiplying — you can regroup the numbers and get the same result.
---
5) When three or more numbers are added, the sum is the same regardless of the grouping of the addends. For example (a + b) + c = a + (b + c)
✔ Associative Property of Addition
> *Explanation:* Grouping doesn’t affect the sum — parentheses can be moved without changing the total.
---
6) If you add the same number to both sides of an equation, the equation is still true. For example if a = b, then a + c = b + c.
✔ Addition Property of Equality
> *Explanation:* Adding the same value to both sides preserves the equality.
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7) Multiplying any number by 0 yields 0. For example a x 0 = 0.
✔ Zero Property of Multiplication
> *Explanation:* Any number multiplied by zero equals zero.
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8) If you divide the same number to both sides of an equation, the equation is still true. For example if a = b, then a / c = b / c.
✔ Division Property of Equality
> *Explanation:* Dividing both sides of an equation by the same non-zero number maintains equality.
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9) If you multiply the same number to both sides of an equation, the equation is still true. For example if a = b, then a x c = b x c.
✔ Multiplication Property of Equality
> *Explanation:* Multiplying both sides by the same number preserves the equality.
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10) The sum of two numbers times a third number is equal to the sum of each addend times the third number. For example a x (b + c) = a x b + a x c
✔ Distributive Property
> *Explanation:* Multiplication distributes over addition: a(b + c) = ab + ac.
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11) The multiplicative inverse of a number, a is 1/a so that a x 1/a = 1.
✔ Multiplicative Inverse Property
> *Explanation:* Every non-zero number has a reciprocal (inverse) such that their product is 1.
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12) When two numbers are added, the sum is the same regardless of the order of the addends. For example a + b = b + a
✔ Commutative Property of Addition
> *Explanation:* Order doesn’t matter in addition — switching the addends doesn’t change the sum.
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13) The sum of any number and zero is the original number. For example a + 0 = a.
✔ Additive Identity Property
> *Note:* This is the same as #2 — both describe the additive identity. So again: Additive Identity Property
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14) When two numbers are multiplied together, the product is the same regardless of the order of the multiplicands. For example a x b = b x a
✔ Commutative Property of Multiplication
> *Explanation:* Order doesn’t matter in multiplication — switching the factors doesn’t change the product.
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15) The additive inverse of a number, a is -a so that a + (-a) = 0.
✔ Additive Inverse Property
> *Explanation:* Every number has an opposite (additive inverse) such that their sum is zero.
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✔ Final Answer Key:
1. Multiplicative Identity Property
2. Additive Identity Property
3. Subtraction Property of Equality
4. Associative Property of Multiplication
5. Associative Property of Addition
6. Addition Property of Equality
7. Zero Property of Multiplication
8. Division Property of Equality
9. Multiplication Property of Equality
10. Distributive Property
11. Multiplicative Inverse Property
12. Commutative Property of Addition
13. Additive Identity Property
14. Commutative Property of Multiplication
15. Additive Inverse Property
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Let me know if you’d like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of identifying properties worksheet.
