We want to divide two decimal numbers. The calculations are easier if we multiply the divisor and the dividend by the same power of 10 so that the divisor is a whole number. In this case, we will multiply by 10.
- 8* 10 &= - 80
- 2.2* 10 &= - 22This means that - 8Ă· (- 2.2) is the same as - 80Ă· (- 22). Next, recall that when dividing real numbers, the quotient will be positive if the signs are the same and it will be negative if the signs are different.
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Same Sign & Different Signs
(+)Ă· (+)=(+) & (+)Ă· (-)=(-)
(-)Ă· (-)=(+) & (-)Ă· (+)=(-)
In our case both numbers are negative, so the quotient will be positive.
- 80Ă· (- 22)=80Ă· 22
Let's find the quotient! We will divide, multiply, subtract, and compare as many times as we need.
We found a pattern in the given quotient!
80Ă· 22 = 3.6363...
We can write this repeating pattern as 3.63.
80Ă· 22 = 3.63
Since 80Ă· 22=3.63, we know that 8Ă· 2.2=3.63. This means that - 8Ă· (- 2.2)=3.63.
