When multiplying real numbers, the product 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
(+)(+)=(+) & (+)(-)=(-)
(-)(-)=(+) & (-)(+)=(-)
We want to evaluate the given expression.
- 5 ÷ 1.5
We want to divide two decimal numbers. Let's ignore the negative sign and multiply the divisor and the dividend by the same power of 10 to simplify the calculation. In this case, we can multiply by 10 so that the divisor is a whole number5* 10 &= 50
1.5* 10 &= 15
This means that 5÷ 1.5 is the same as 50÷ 15. Now we can find the exact quotient. We divide, multiply, subtract, and compare as many times as we need.
We can see that the pattern starts to repeat itself after a few steps. This means that the decimal is a repeating decimal. We can write it using bar notation. Remember, the bar goes over the decimal part that repeats itself.
3.333333... = 3.3
Since 50÷ 15=3.3, we know that 5÷ 1.5=3.3. In case of our quotient, one number is negative, - 5, and one number is positive, 1.5, so the quotient is negative.
- 5÷ 1.5=- 3.3
