Across
- 3. If a = b, then b = a.
- 5. If a = b, then a + c = b + c: if you add the same number to (or subtract the same number from) both sides of an equation, the equation continues to be true.
- 8. If a = b and b = c, then a = c.
- 9. a = a: anything is congruent to itself: the equals sign is like a mirror, and the image it "reflects" is the same as the original.
- 11. Can change the order of the number involved without changing the result. Addition and Subtraction only. a+b=b+a
- 12. Another number that you can add to the original number to get the additive identity. For example, the additive inverse of 67 is -67, because 67 + -67 = 0
Down
- 1. The inverse of something is that thing turned inside out or upside down. The inverse of an operation undoes the operation: division undoes multiplication.
- 2. If a = b, then a * c = b * c: if you multiply (or divide) by the same number on both sides of an equation, the equation continues to be true.
- 4. When one number is multiplied by the sum of two other numbers, the first number can be handed out or distributed to both of those numbers and multiplied by each of them seperately. a(b+c)=a*b+a*c
- 6. If the product of two numbers is the multiplicative identity. Since 6 * 1/6 = 1 (the multiplicative identity), 6 is 1/6.
- 7. Can group numbers in any way without changing the answer. It doesnt matter how you combine them, the answer will always be the same. EX: a+(b+c)=(a+b)+c
- 10. Equal sign in an equation is like a scale: both sides, left and right, must be the same in order for the scale to stay in balance and the equation to be true