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Division of integersDivision of integers is the opposite operation of multiplying integers It is the process by which one is trying to determine how many times a number is contained into another. Say for instance you do 42 ÷ 6 You are trying to find out how many times 6 is contained into 42 Since 6 × 7 = 42, 6 is contained into 42 seven times Thus, 42 ÷ 6 = 7  Notice that quotient × divisor = dividend dividend ÷ divisor = quotient dividend ÷ quotient = divisor In other words, the product of 4 × 5 = 20 Then, dividing the product, which is 20 by 4 gives you back 5 However, dividing the product(20) by 5 gives you back 4 We can use this fact to find the rule for dividing integers 2 × 6 = 12 12 ÷ 6 = 2 12, 6, and 2 are positive, so Positive ÷ Positive = Positive 2 × -6 = -12 -12 ÷ -6 = 2 12 and 6 are negative, but 2 is positive, so Negative ÷ Negative = Positive In the previous example, notice that -12 ÷ 2 = -6 12 is negative, 2 is positive, but 6 is negative, so Negative ÷ Positive = Negative Finally, consider: -2 × - 6 = 12 12 ÷ -2 = -6 12 is positive, 2 is negative, and 6 is negative, so Positive ÷ Negative = Negative Notice also that the rule for division of integers is the same for multiplying integers.Therefore, if you remember the rule for multiplying integers, you already know it for division. The division of two integers with the same signs is positive The division of two integers with different signs is Negative
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|Comparing integers
| Adding integers
| Subtracting integers
| Multiplying integers
|Division of integers
| Variables in algebra
| Linear equations
| Solving equations using addition
| Solving equations using subtraction
| Solving multiplication equations
| Solving two-step equations
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