If you multiply a negative by a negative, you get a positive because the two negative signs cancel.
Multiplying a negative number by another negative number makes the product positive.
So the fact that the product of two negative numbers is positive is because the inverse of the inverse of a positive number returns that positive number.
Using the fact that multiplication is commutative, a negative times a positive is also negative. Likewise, we can prove that a negative times a negative is a positive. Since we know that −ab is negative and the sum of these two terms is 0, (−a) × (−b) is positive.
When two negative numbers are multiplied or divided together, the answer is positive. When a positive number and a negative number are multiplied or divided, the result is negative.
Rule 2: A negative number multiplied by a positive number results in a negative number. If you multiply a negative number by a positive number, your answer is a negative number. It doesn’t matter in which order the positive and negative numbers are multiplied, the result is always a negative number.
BODMAS is an acronym for the sequence of operations that must be performed while simplifying the mathematical expressions. So BODMAS stands for parentheses, order, division, multiplication, addition and subtraction.
If you multiply a negative number by a positive number, then the product is always negative. When you multiply two negative numbers or two positive numbers, the product is always positive. 3 times 4 is 12.
Yes, two negatives make one positive, and we’ll explain why with examples!
“Zero and its operation were first defined by [Hindu astronomer and mathematician] Brahmagupta in the year 628,” Gobets said. He developed a symbol for zero: a dot among numbers.
The term PEMDAS is mainly used in the US, but in India and the UK we call it BODMAS. But there is no difference between them. The order of operations for brackets, orders, addition, subtraction, multiplication, and division is the same for both rules.
This would be a really useful algorithm if it worked in every situation, but consider the much simpler expression 1 – 2 + 4 . It doesn’t contain parentheses, powers, divisions or multiplications, so we follow BODMAS and do the addition followed by the subtraction: This is wrong.