Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
Sure! Let's address each part of the question step-by-step.
### 6. Find the square of 32:
To find the square of a number, you multiply the number by itself.
[tex]\[ 32^2 = 32 \times 32 = 1024 \][/tex]
So, the square of 32 is 1024.
### 7. Represent [tex]\(\frac{2}{7}\)[/tex] on the number line:
To represent [tex]\(\frac{2}{7}\)[/tex] on the number line, observe that it is a positive fraction slightly less than [tex]\(\frac{1}{3}\)[/tex]. On a number line, you divide the section between 0 and 1 into 7 equal parts. The fraction [tex]\(\frac{2}{7}\)[/tex] will be 2 parts out of those 7 parts. Numerically, [tex]\(\frac{2}{7}\)[/tex] approximates to:
[tex]\[ \frac{2}{7} \approx 0.2857 \][/tex]
So, [tex]\(\frac{2}{7}\)[/tex] would be placed slightly to the left of 0.3 on the number line.
### 8. Write Multiplicative inverse of 0:
The multiplicative inverse of a number [tex]\(a\)[/tex] is another number [tex]\(b\)[/tex] such that [tex]\(a \times b = 1\)[/tex].
For 0, there's no number that you can multiply by 0 that results in 1. Therefore,
The multiplicative inverse of 0 does not exist.
### 9. The product of a number and its reciprocal is:
A number's reciprocal is [tex]\( \frac{1}{a} \)[/tex]. When you multiply a number by its reciprocal, you get:
[tex]\[ a \times \left(\frac{1}{a}\right) = 1 \][/tex]
For instance, let's use the number 5 as an example. Its reciprocal is [tex]\(\frac{1}{5}\)[/tex]. Therefore,
[tex]\[ 5 \times \left(\frac{1}{5}\right) = 1 \][/tex]
So, the product of a number and its reciprocal is 1.
### 10. Write in ascending and descending order:
Consider the fractions given:
[tex]\[ \frac{4}{5}, \frac{3}{7}, \frac{-1}{5}, \frac{2}{3}, \frac{5}{7} \][/tex]
First, we convert these fractions into decimal form to easily compare them:
[tex]\[ \begin{align*} \frac{4}{5} & = 0.8 \\ \frac{3}{7} & \approx 0.4286 \\ \frac{-1}{5} & = -0.2 \\ \frac{2}{3} & \approx 0.6667 \\ \frac{5}{7} & \approx 0.7143 \\ \end{align*} \][/tex]
Ascending Order:
[tex]\[ \frac{-1}{5}, \frac{3}{7}, \frac{2}{3}, \frac{5}{7}, \frac{4}{5} \][/tex]
In decimal form, this is:
[tex]\[ -0.2, 0.4286, 0.6667, 0.7143, 0.8 \][/tex]
Descending Order:
[tex]\[ \frac{4}{5}, \frac{5}{7}, \frac{2}{3}, \frac{3}{7}, \frac{-1}{5} \][/tex]
In decimal form, this is:
[tex]\[ 0.8, 0.7143, 0.6667, 0.4286, -0.2 \][/tex]
### Summary of Solutions:
1. The square of 32 is 1024.
2. [tex]\(\frac{2}{7}\)[/tex] on the number line is approximately 0.2857.
3. The multiplicative inverse of 0 does not exist.
4. The product of a number and its reciprocal is 1.
5. Ascending Order: [tex]\(-0.2, 0.4286, 0.6667, 0.7143, 0.8\)[/tex]
Descending Order: [tex]\(0.8, 0.7143, 0.6667, 0.4286, -0.2\)[/tex]
### 6. Find the square of 32:
To find the square of a number, you multiply the number by itself.
[tex]\[ 32^2 = 32 \times 32 = 1024 \][/tex]
So, the square of 32 is 1024.
### 7. Represent [tex]\(\frac{2}{7}\)[/tex] on the number line:
To represent [tex]\(\frac{2}{7}\)[/tex] on the number line, observe that it is a positive fraction slightly less than [tex]\(\frac{1}{3}\)[/tex]. On a number line, you divide the section between 0 and 1 into 7 equal parts. The fraction [tex]\(\frac{2}{7}\)[/tex] will be 2 parts out of those 7 parts. Numerically, [tex]\(\frac{2}{7}\)[/tex] approximates to:
[tex]\[ \frac{2}{7} \approx 0.2857 \][/tex]
So, [tex]\(\frac{2}{7}\)[/tex] would be placed slightly to the left of 0.3 on the number line.
### 8. Write Multiplicative inverse of 0:
The multiplicative inverse of a number [tex]\(a\)[/tex] is another number [tex]\(b\)[/tex] such that [tex]\(a \times b = 1\)[/tex].
For 0, there's no number that you can multiply by 0 that results in 1. Therefore,
The multiplicative inverse of 0 does not exist.
### 9. The product of a number and its reciprocal is:
A number's reciprocal is [tex]\( \frac{1}{a} \)[/tex]. When you multiply a number by its reciprocal, you get:
[tex]\[ a \times \left(\frac{1}{a}\right) = 1 \][/tex]
For instance, let's use the number 5 as an example. Its reciprocal is [tex]\(\frac{1}{5}\)[/tex]. Therefore,
[tex]\[ 5 \times \left(\frac{1}{5}\right) = 1 \][/tex]
So, the product of a number and its reciprocal is 1.
### 10. Write in ascending and descending order:
Consider the fractions given:
[tex]\[ \frac{4}{5}, \frac{3}{7}, \frac{-1}{5}, \frac{2}{3}, \frac{5}{7} \][/tex]
First, we convert these fractions into decimal form to easily compare them:
[tex]\[ \begin{align*} \frac{4}{5} & = 0.8 \\ \frac{3}{7} & \approx 0.4286 \\ \frac{-1}{5} & = -0.2 \\ \frac{2}{3} & \approx 0.6667 \\ \frac{5}{7} & \approx 0.7143 \\ \end{align*} \][/tex]
Ascending Order:
[tex]\[ \frac{-1}{5}, \frac{3}{7}, \frac{2}{3}, \frac{5}{7}, \frac{4}{5} \][/tex]
In decimal form, this is:
[tex]\[ -0.2, 0.4286, 0.6667, 0.7143, 0.8 \][/tex]
Descending Order:
[tex]\[ \frac{4}{5}, \frac{5}{7}, \frac{2}{3}, \frac{3}{7}, \frac{-1}{5} \][/tex]
In decimal form, this is:
[tex]\[ 0.8, 0.7143, 0.6667, 0.4286, -0.2 \][/tex]
### Summary of Solutions:
1. The square of 32 is 1024.
2. [tex]\(\frac{2}{7}\)[/tex] on the number line is approximately 0.2857.
3. The multiplicative inverse of 0 does not exist.
4. The product of a number and its reciprocal is 1.
5. Ascending Order: [tex]\(-0.2, 0.4286, 0.6667, 0.7143, 0.8\)[/tex]
Descending Order: [tex]\(0.8, 0.7143, 0.6667, 0.4286, -0.2\)[/tex]
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.
