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Is the number $1 + -1$ rational or irrational? $\newline$ Choices: $\newline$ (A) rational $\newline$ (B) irrational

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Classify rational and irrational numbers

Full solution

Q. Is the number

1 + -1

rational or irrational?

\newline

Choices:

\newline

(A) rational

\newline

(B) irrational

Evaluate $1 + (-1)$ : Evaluate $1 + (-1)$ . $\newline$ $1 + (-1)$ $\newline$ $= 1 - 1$ $\newline$ $= 0$
Identify number type: Identify whether $0$ is a rational or irrational number. $\newline$ A rational number is any number that can be expressed as the quotient or fraction $\frac{p}{q}$ of two integers, with the denominator $q$ not equal to zero. $\newline$ Since $0$ can be expressed as $\frac{0}{1}$ , where $0$ is an integer and $1$ is a non-zero integer, $0$ is a rational number.

More problems from Classify rational and irrational numbers

Question

-7 + 9

rational or irrational?

\newline

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Posted 8 months ago

Question

3 + -5

rational or irrational?

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Question

a

is irrational. Which statement about

a^{38}

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Question

w

x

are both rational. Which statement about

w-x

\newline

w-x

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w-x

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w-x

can be rational or irrational, depending on the values of

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Question

the following number rational or irrational?

\sqrt{50}

\newline

1

\newline

1

\newline

(Choice A) Rational

\newline

\newline

(Choice B) Irrational

\newline

Posted 2 months ago

Question

You pick a card at random, put it back, and then pick another card at random.

\newline

4

\newline

5

\newline

6

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7

\newline

What is the probability of picking a number greater than

5

and then picking a

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\newline

Write your answer as a percentage.

Posted 1 month ago

Question

Jeanne's bank account earns interest annually. The equation shows her starting balance of

\$500

and her balance at the end of three years,

\$546.36

r

did Jeanne earn interest?

\newline

546.36 = 500(1 + r)

Posted 1 month ago

Question

Jeanne's bank account earns interest annually. The equation shows her starting balance of

\$ 350

and her balance at the end of three years,

\$ 422.78

. At what rate r did Jeanne earn interest?

\newline

422.78=350(1+r)^{3}

Posted 1 month ago

Question

10\text{-kg}

bucket is lifted from the ground to a height of

14\, \text{m}

at a constant speed with a rope that weighs

0.6\, \text{kg/m}

. Initially the bucket contains

42\, \text{kg}

of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the

14\, \text{m}

level. How much work is done? (Use

9.8\, \text{m/s}^2

g

.) Show how to approximate the required work (in

\text{J}

) by a Riemann sum. (Let

x

be the height in meters above the ground. Enter

x_i^*

x_i

Posted 1 month ago

Question

10-\mathrm{kg}

bucket is lifted from the ground to a height of

14

m at a constant speed with a rope that weighs

0.6 \mathrm{~kg} / \mathrm{m}

. Initially the bucket contains

42

kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the

14-\mathrm{m}

level. How much work is done? (Use

9.8 \mathrm{~m} / \mathrm{s}^{2}

\newline

Show how to approximate the required work (in J) by a Riemann sum. (Let

x

be the height in meters above the ground. Enter

x_{i}^{* *}

x_{i}

\newline

\lim _{n \rightarrow \infty} \sum_{i=1}^{n}\left(\boxed{98+35.28 x_{i}}\right) \Delta x

\newline

Express the work (in J) as an integral in terms of

x

\newline

\int_{0}^{14}(98+35.28 x

\newline

Evaluate the integral (in J). (Round your answer to the nearest integer.)

Posted 1 month ago

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