Integers with algebra
Introduction :
Integers are set of numbers that include 0, whole numbers greater than 0 that is 1,2,3...... and the whole numbers less than 0 that is -1, -2, -3, -4, -5,....... . the integers with algebra is nothing but how the integers used in algebra. The algebra mainly uses integers so called integers with algebra. In this article we shall discuss about the concepts and problems involved in integers with algebra.
Integers with algebra:
How to solve one step equations:
1) Rewrite the equation to add, subtract, multiply or divide the opposite Number to each side.
2) Rewrite the equation on each side to simplify sort of addition and subtraction.
Examples:
Simplify `X/2` = 8
`X/2` · 2 = 8 · 2
X = 16
Simplify X – 7 = 10
X – 7 + 7 = 10 + 7
X – 7 + 7 = 10 + 7
X = 17
Simplify 2X = 7
`(2X) / 2` = 7 / 2
`(2X) / 2` = 7 / 2
X = 3.5
How to solve two step equations:
1) Rewrite the equation in-order to add or subtract the opposite number to each side
2) Rewrite the equation in which each side we can simplify all addition or subtraction.
3) Rewrite the equation to multiply or divide the number next to the variable on each side of the equation.
4) Simply your new equation.
Examples:
Simplify `X/2` + 2 = 10
`X/2` + 2 – 2 = 10 – 2
`X/2` + 2 – 2 = 10 – 2
`X/2` = 8
`X/2` = 8
`X/2` · 2 = 8 · 2
`X/2` · 2 = 8 · 2
X = 16
Simplify 2X – 4 = 3
2X – 4 + 4 = 3 + 4
2X – 4 + 4 = 3 + 4
2X = 7
2X = 7
`(2X)/2` = 7/2
`(2X)/2` = 7/2
X = 3.5
Integers with algebra:
Rules to add integers:
1. Look at the sign for each number.
Example: -6 + -6 = (The signs would be and)
2. If the signs are the same, add the two numbers and take that sign.
Example: -6 + -6 = 12, 6 + 6 = 12
3. If the signs are different, take the larger number minus the smaller number. The sign on the answer is the sign of the higher number in the problem.
Example: -6 + 3 = -3 (6-3 =3 and 6 is the higher number so the answer is negative.)
Rules to subtract integers:
1) Look at your problem and circle all of the signs that are side by side without a number in between the two signs.
Example: -3+ -6, -3- - 6
2) If there are two negatives side by side, change them into a positive. If there is a negative and a positive side by side, change them into a negative. we need to rewrite the problem.
Example: -3+ -6 = -3 – 6, -3 - - 6 = -3 + 6 .
3) Look at the sign for each number.
Example: -6 -6 = (The signs would be – and -)
4) If the signs are the same, add the two numbers and take that sign.
Example: - 6 - 6 = 12
5) If the signs are different, subtract the larger number minus the smaller number. The sign on the answer is the sign of the higher number in the problem.
Example: 6 - 3 = 3 (6 - 3 =3 and 6 is the higher number so the answer is positive.)
Rules to multiply integers:
1) Look at the signs of each number.
2) If the signs are the same, multiply or divide the numbers and your answer would be positive.
Examples: 6* -3 = 18, 5 * 3 = 15, 24/6 = 4, -24/-6 = 4
3)If the signs are different, multiply or divide the numbers and your answer would be negative.
Examples: 6 * - 3 = - 18, - 5 * 3 = -15, - 24/6 = - 4, 24/ -6 = - 4 .
Integers are set of numbers that include 0, whole numbers greater than 0 that is 1,2,3...... and the whole numbers less than 0 that is -1, -2, -3, -4, -5,....... . the integers with algebra is nothing but how the integers used in algebra. The algebra mainly uses integers so called integers with algebra. In this article we shall discuss about the concepts and problems involved in integers with algebra.
Integers with algebra:
How to solve one step equations:
1) Rewrite the equation to add, subtract, multiply or divide the opposite Number to each side.
2) Rewrite the equation on each side to simplify sort of addition and subtraction.
Examples:
Simplify `X/2` = 8
`X/2` · 2 = 8 · 2
X = 16
Simplify X – 7 = 10
X – 7 + 7 = 10 + 7
X – 7 + 7 = 10 + 7
X = 17
Simplify 2X = 7
`(2X) / 2` = 7 / 2
`(2X) / 2` = 7 / 2
X = 3.5
How to solve two step equations:
1) Rewrite the equation in-order to add or subtract the opposite number to each side
2) Rewrite the equation in which each side we can simplify all addition or subtraction.
3) Rewrite the equation to multiply or divide the number next to the variable on each side of the equation.
4) Simply your new equation.
Examples:
Simplify `X/2` + 2 = 10
`X/2` + 2 – 2 = 10 – 2
`X/2` + 2 – 2 = 10 – 2
`X/2` = 8
`X/2` = 8
`X/2` · 2 = 8 · 2
`X/2` · 2 = 8 · 2
X = 16
Simplify 2X – 4 = 3
2X – 4 + 4 = 3 + 4
2X – 4 + 4 = 3 + 4
2X = 7
2X = 7
`(2X)/2` = 7/2
`(2X)/2` = 7/2
X = 3.5
Integers with algebra:
Rules to add integers:
1. Look at the sign for each number.
Example: -6 + -6 = (The signs would be and)
2. If the signs are the same, add the two numbers and take that sign.
Example: -6 + -6 = 12, 6 + 6 = 12
3. If the signs are different, take the larger number minus the smaller number. The sign on the answer is the sign of the higher number in the problem.
Example: -6 + 3 = -3 (6-3 =3 and 6 is the higher number so the answer is negative.)
Rules to subtract integers:
1) Look at your problem and circle all of the signs that are side by side without a number in between the two signs.
Example: -3+ -6, -3- - 6
2) If there are two negatives side by side, change them into a positive. If there is a negative and a positive side by side, change them into a negative. we need to rewrite the problem.
Example: -3+ -6 = -3 – 6, -3 - - 6 = -3 + 6 .
3) Look at the sign for each number.
Example: -6 -6 = (The signs would be – and -)
4) If the signs are the same, add the two numbers and take that sign.
Example: - 6 - 6 = 12
5) If the signs are different, subtract the larger number minus the smaller number. The sign on the answer is the sign of the higher number in the problem.
Example: 6 - 3 = 3 (6 - 3 =3 and 6 is the higher number so the answer is positive.)
Rules to multiply integers:
1) Look at the signs of each number.
2) If the signs are the same, multiply or divide the numbers and your answer would be positive.
Examples: 6* -3 = 18, 5 * 3 = 15, 24/6 = 4, -24/-6 = 4
3)If the signs are different, multiply or divide the numbers and your answer would be negative.
Examples: 6 * - 3 = - 18, - 5 * 3 = -15, - 24/6 = - 4, 24/ -6 = - 4 .