11. What are integers?
Integers are whole numbers, including positive numbers, negative numbers, and zero.
22. How do you see integers on a number line?
Imagine a line that goes on forever in both directions. Positive numbers go to the right of zero, and negative numbers go to the left.
33. What is a successor?
A successor is the next number on the number line.
44. What is a predecessor?
A predecessor is the number just before on the number line.
55. What is absolute value?
Absolute value is how far a number is from zero, always positive.
66. What are additive inverses?
Additive inverses are pairs of numbers that add up to zero, like 3 and -3.
77. What are multiplicative inverses?
Multiplicative inverses are pairs of numbers that multiply to one, like 1 and 1.
88. What are even numbers?
Even numbers can be divided evenly by 2.
99. What are odd numbers?
Odd numbers cannot be divided evenly by 2.
1010. How do you add integers with the same sign?
Add them and keep the same sign.
1111. How do you add integers with different signs?
Subtract and use the sign of the bigger number.
1212. How do you subtract integers?
Change the subtraction to addition and follow the rules for adding integers.
1313. How do you multiply integers with the same sign?
The answer is positive.
1414. How do you multiply integers with different signs?
The answer is negative.
1515. How do you divide integers?
Divide normally and then think about the signs to decide if the answer is positive or negative.
Absolutely, let's simplify further and add more flashcards for each concept related to transposition and solving equations:
161. What is transposition in math?
Transposition means moving parts of an equation to solve for a variable, changing signs as needed.
172. How do you solve equations using transposition?
To solve, move numbers and variables to different sides of the equation, using opposite operations to keep the equation balanced.
183. What is a linear equation?
A linear equation involves variables (like \( x \)) with no exponents other than 1 and constants (like \( 3x + 2 = 8 \)).
194. How do you balance an equation?
Balance by doing the same math operations on both sides, such as adding or subtracting, to keep the equation equal.
205. What are variables and constants in equations?
Variables (like \( x \)) are unknowns, and constants (like \( 5 \)) are fixed numbers in equations.
216. Why is transposition important in math?
Transposition helps rearrange equations to find solutions, which is essential for solving problems and understanding math concepts.
227. How do you isolate a variable using transposition?
Isolate by moving all other terms away from the variable using opposite operations on both sides of the equation.
238. What are inverse operations in math?
Inverse operations undo each other, like adding and subtracting or multiplying and dividing, used to solve equations.
249. Give an example of solving an equation using transposition.
In \( 4y - 7 = 5 \), add 7 to both sides, then divide by 4 to find \( y = 3 \).
2510. How do you check if a solution is correct?
Verify by substituting the solution back into the original equation to see if both sides are equal.
These flashcards should make it easier to understand the concepts of transposition and solving equations in mathematics.