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.
- 6* 10 &= - 60
- 1.1* 10 &= - 11This means that - 6Ă· (- 1.1) is the same as - 60Ă· (- 11). 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.
cc
Same Sign & Different Signs
(+)Ă· (+)=(+) & (+)Ă· (-)=(-)
(-)Ă· (-)=(+) & (-)Ă· (+)=(-)
In our case both numbers are negative, so the quotient will be positive.
- 60Ă· (- 11)=60Ă· 11
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!
60Ă· 11 = 5.4545...
We can write this repeating pattern as 5.45.
60Ă· 11 = 5.45
Since 60Ă· 11=5.45, we know that 6Ă· 1.1=5.45. This means that - 6Ă· (- 1.1)=5.45.
