Express the following in mathematical from simplify and give your answer with the correct signs Negative four multiplied by negative ten is subtract from positive eighty multiplied by negative one
Answers
Answer:
Standard numbers, anything greater than zero, are described as ‘positive’ numbers. We don’t put a plus sign (+) in front of them because we don’t need to since the general understanding is that numbers without a sign are positive.
Numbers that are less than zero are known as 'negative' numbers. These have a minus sign (−) in front of them to indicate that they are less than zero (for example, -10 or 'minus 10').
Visualising Negative and Positive Numbers
Probably the easiest way to visualise negative and positive numbers is using a number line, a tool with which you may well be familiar, especially if you have children at primary school.
It looks something like this:
Number line showing a scale of -25 to +25.
A number line can help you to visualise both positive and negative numbers and the operations (adding and subtracting) that you can do with them.
When you have an addition or subtraction to calculate, you start at the first number and move the second number of places either to the right (for an addition) or left (for a subtraction).
This number line is a simplified version, but you can draw them with every number included if you wish. The big advantage of a number line is that it is very easy to draw for yourself on the back of an envelope or a piece of scrap paper, and it is also quite hard to go wrong with the calculation. As long as you are careful to count the number of places that you are moving, you will reach the correct answer.
Worked Examples
What is 10 − 25?
Starting at 10, you move 25 numbers to the left, and you see immediately that the answer is −15.
Number line showing the sum 10 - 25.
What is −17 + 23?
This time you start at -17 and move 23 places to the right. You can see straight away that the answer is 6.
Number line showing the sum -17 + 23.
Subtracting Negative Numbers
If you subtract a negative number, the two negatives combine to make a positive.
−10−(−10) is not −20. Instead, you can think of it as turning one of the negative signs upright, to cross over the other, and make a plus. The sum would then be −10+10 = 0..
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[(80) x (-1)] - [(-4) x (-10)] = 120