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Anvisha [2.4K]
3 years ago
5

We’ve seen that natural numbers are closed under addition. Determine the closure of natural numbers under the other three operat

ions, and give examples to support your answers.

Mathematics
1 answer:
nevsk [136]3 years ago
7 0

Natural numbers are not closed under subtraction. In fact, any operation x-y,\quad y>x has no solution using natural numbers.


Natural numbers are closed under multiplication. In fact, any operation x\cdot y means to sum x by itself y times, and we already know that natural numbers are closed under sum.


Natural numbers are not closed under division. In fact, if y doesn't divide x, any operation \frac{x}{y} has no solution using natural numbers.

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Read 2 more answers
(2) Using the distance formula, d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (-2, 2) and point (4, 4) rounde
monitta

Using the distance formula, d = \sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2  } \\, what is the distance between point (-2, 2) and point (4, 4) rounded to the nearest tenth?

Using the points given, plug them into the equation.

d = \sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2  } \\d = \sqrt{((4) - (-2))^2 + ((4) - (2)^2  } \\d=\sqrt{(4+2)^2 + (4-2)^2}\\d=\sqrt{(6)^2 + (2)^2}  \\d=\sqrt{36+4} \\d=\sqrt{40} \\

Plug this into a calculator and you get 6.32455532

Since you only need it up to the tenth (0.1), round up 6.32

<em>Five or more, let it soar. Four or less, let it rest.</em>

Since two is lower than four, we drop it.

Therefore, the distance between points (-2, 2) and (4, 4) is 6.3

Hope this helps ^w^

8 0
3 years ago
5(2+ 3n) equals what
kati45 [8]

Answer: The Answer To Your Question Is 25n

Step-by-step explanation: 5(2+3n)

1. Do the Parenthesis: (2+3n)= 5n

2. Multiply: 5 times 5n= 25n

HOPE I WAS HELPFUL I KNOW THE ANSWER IS RIGHT......

8 0
3 years ago
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