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I want in english

ScanSolve AI Tutor · Accepted Answer

Here are the answers to your questions:

1. Represent $\frac{-3}{4}$ on a number line.

$\frac{-3}{4}$ is a negative rational number that lies between 0 and $-1$ .
Divide the segment between 0 and $-1$ on the number line into 4 equal parts.
The third point to the left of 0 will represent $\frac{-3}{4}$ .
$\text{Representation of } \frac{-3}{4} \text{ on a number line:}$ $\boxed{ \text{<--- -1 ---- } \frac{-3}{4} \text{ ---- } \frac{-2}{4} \text{ ---- } \frac{-1}{4} \text{ ---- 0 --->} }$
2. Write $0, 7, 10, -4$ in the form $\frac{p}{q}$ .
Any integer can be expressed in the form $\frac{p}{q}$ where $q \neq 0$ and $q=1$ .
Write the given integers in the form $\frac{p}{q}$
- $0 = \frac{0}{1}$
- $7 = \frac{7}{1}$
- $10 = \frac{10}{1}$
- $-4 = \frac{-4}{1}$
$\boxed{ 0 = \frac{0}{1}, \quad 7 = \frac{7}{1}, \quad 10 = \frac{10}{1}, \quad -4 = \frac{-4}{1} }$
3. Guess my number: Your friend picks an integer between 0 and 100. You have to find that number, but your friend can only answer 'yes' or 'no'. What strategy would you use?
The most effective strategy for solving this type of problem is binary search or the halving strategy.
First, ask if the number is greater than 50.
Based on the answer, halve the possible range of the number.
For example, if the answer is 'yes', the number is between 51 and 100; if 'no', the number is between 0 and 50.
Continue this process, always asking about the middle of the current range, until the number is found.
With each question, the number of possible values is halved, making it quick to pinpoint the exact number.

4. Are the following statements true? Give reasons with examples for your answers.
i. Every rational number is an integer.
This statement is false.
A rational number is any number that can be expressed in the form $\frac{p}{q}$ , where $p$ and $q$ are integers and $q \neq 0$ .
An integer is a whole number (e.g., $-2, -1, 0, 1, 2$ ).
For example, $\frac{1}{2}$ is a rational number, but it is not an integer.
Similarly, $\frac{3}{4}$ and $\frac{-5}{7}$ are also rational numbers that are not integers.
$\boxed{ \text{False} }$

I want in english

Step-by-step solution

$\frac{-3}{4}$ is a negative rational number that lies between 0 and $-1$ .

Divide the segment between 0 and $-1$ on the number line into 4 equal parts.

The third point to the left of 0 will represent $\frac{-3}{4}$ .

Any integer can be expressed in the form $\frac{p}{q}$ where $q \neq 0$ and $q=1$ .

Write the given integers in the form $\frac{p}{q}$

The most effective strategy for solving this type of problem is binary search or the halving strategy.

First, ask if the number is greater than 50.

Based on the answer, halve the possible range of the number.

Continue this process, always asking about the middle of the current range, until the number is found.

This statement is false.

A rational number is any number that can be expressed in the form $\frac{p}{q}$ , where $p$ and $q$ are integers and $q \neq 0$ .

For example, $\frac{1}{2}$ is a rational number, but it is not an integer.

Still stuck on this one?

More English Questions

I want in english

Step-by-step solution

−34\frac{-3}{4}4−3​ is a negative rational number that lies between 0 and −1-1−1.

Divide the segment between 0 and −1-1−1 on the number line into 4 equal parts.

The third point to the left of 0 will represent −34\frac{-3}{4}4−3​.

Any integer can be expressed in the form pq\frac{p}{q}qp​ where q≠0q \neq 0q=0 and q=1q=1q=1.

Write the given integers in the form pq\frac{p}{q}qp​

The most effective strategy for solving this type of problem is binary search or the halving strategy.

First, ask if the number is greater than 50.

Based on the answer, halve the possible range of the number.

Continue this process, always asking about the middle of the current range, until the number is found.

This statement is false.

A rational number is any number that can be expressed in the form pq\frac{p}{q}qp​, where ppp and qqq are integers and q≠0q \neq 0q=0.

For example, 12\frac{1}{2}21​ is a rational number, but it is not an integer.

Still stuck on this one?

More English Questions

$\frac{-3}{4}$ is a negative rational number that lies between 0 and $-1$ .

Divide the segment between 0 and $-1$ on the number line into 4 equal parts.

The third point to the left of 0 will represent $\frac{-3}{4}$ .

Any integer can be expressed in the form $\frac{p}{q}$ where $q \neq 0$ and $q=1$ .

Write the given integers in the form $\frac{p}{q}$

A rational number is any number that can be expressed in the form $\frac{p}{q}$ , where $p$ and $q$ are integers and $q \neq 0$ .

For example, $\frac{1}{2}$ is a rational number, but it is not an integer.