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To add two numbers with like signs, add their absolute values. The sum has the same sign as both addends.

1. 6 + 4 = |6| + |4| = 10

2. -6 + (-4) = |-6| + |-4| = 6 + 4 = 10 So,

-6 + (-4) = -10

To add two numbers with unlike signs, subtract the lesser absolute value from the greater absolute value. The sum has the sign as the addended with the greater absolute value.

1. -14 + 5

|-14| = 14 and |5| = 5

14 - 5 = 9 So,

-14 + 5 = -9

2. -5 + 14

|-5| = 5 and |14| = 14

14 - 5 = 9 So,

-5 + 14 = -9

To subtract a signed number, add its opposite.

Using this rule you can rewrite any subtraction a - b as a + (-b). Then you procced by following the rules for adding signed numbers.

1. -8 - (-25) = -8 + 25 = 17

2. -7 - 19 = -7 + (-19) = -26

3. 3 - 15 = 3 + (-15) = -8

The rules for adding and subtracting signed numbers can also applied to decimals and fractions.

To multiply or divide two numbers with like signs, multiply or divide their absolute values. The production or quotient is positive.

1. 2 x 3 = |2| x |3| = 2 x 3 = 6

2. 21/ 7 = |21|/|7| = 21/7 = 3

3. (-2) x (-3) = |-2| x |-3| = 2 x 3 = 6

4. -63/-9 = |-63|/|-9| = 63/9 = 7

To multiply or divide two numbers with unlike signs, multiply or divide their absolute values. The product or quotient will be negative.

1. -11 x 5 = |-11| x |5| = 11 x 5 = -55

2. 28/-4 = |28|/|-4| = 28/4 = -7

To divide two fractions, multiply the dividend by the reciprocal of the divisor, and simplify the result.

1. (-3/5)/(9/7) = |-3/5| x |7/9| = 3/5 x 7/9 = (3 x 7)/(5 x 9) = - 21/45 = - 7/15

2. (-2/3)/(-5/8) = |-2/3| x |-8/5| = 2/3 x 8/5 = (2 x 8)/(3 x 5) = 16/15

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Q: Substraction is a form of addition and division is a form of multiplication give example?
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