negative numbers closed under subtraction.
True or false
My answer is false, is this correct
Right - the answer is false. The idea of a set of numbers being closed under an operation (like subtraction, addition, etc.) is that you can apply the operation to members of that set of numbers and only get more members from that set.
So, if you try it with negative numbers and subtraction, you can quickly find examples where subtracting negative numbers gives a positive number as a result. So, the set of negative numbers is not "closed" to subtraction.
For example, (-4) - (-10) = 6 (positive).
As an opposite example, negative numbers are a closed set under addition. You can add negative numbers all day in any way you want, and you will only get negative numbers as your result. For example,
(-4) + (-10) = -14
(-25) + (-2) = -27
false
Rational numbers are closed under subtraction (true or false)
Please express your answer in scientific notation.
(6.0 x 105) x (3.0 x 104) = (1 point)
18 x 1020
18 x 109
1.8 x 1020
1.8 x 1010
2. Please express your answer in scientific notation.
(5 x 10–2) ÷ (2 x 103) = (1 point)
2.5 x 10-5
2.5 x 10-1
25 x 101
25 x 102
3. Please express your answer in scientific notation.
(2.56 x 106) x (3.56 x 102) = (1 point)
9.1136 x 1012
91.136 x 108
9.1136 x 108
91.136 x 1012
4. In a recent year, the population of California was about 2.52 x 107 people. Its land area is about 4.05 x 105 km2. What was the average number of people per square kilometer? (1 point)
0.62 x 105
6.2 x 101
0.62 x 1014
6.2 x 109
False
Composite numbers are closed under
subtraction true false mamá examples
Your answer is incorrect. The statement "negative numbers are closed under subtraction" is true.
To confirm this, let's first understand what it means for a set of numbers to be closed under an operation. Closure under an operation means that when you perform the operation on any two numbers within the set, the result will also be in the set. In this case, the set we are considering is the set of negative numbers, and the operation is subtraction.
When subtracting two negative numbers, you can think of it as adding the opposite (positive) value. For example, (-5) - (-3) is equivalent to (-5) + 3, which gives us -2. In this case, the result (-2) is also a negative number, which means it belongs to the set of negative numbers.
Therefore, since the subtraction of negative numbers results in a negative number, the set of negative numbers is closed under subtraction. Hence, the statement is true.