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
negative numbers closed under subtraction.
True or false
My answer is false, is this correct
6 answers
false
Rational numbers are closed under subtraction (true or false)
False
Composite numbers are closed under
subtraction true false mamá examples
subtraction true false mamá examples
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
(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