## Envision Math Grade 8 Volume 1 Chapter 1: Real Number

**Page 63 Exercise 1 Answer**

The video mentioned above shown some images that predict the pattern of the most hard-working organs in our body.

The reason is for knowing how each of them works and what does the pattern each of them follows.

You may frequently utilize visual cues to figure out what’s in the shot and what the remainder of the thing could appear like.

The first question that comes to my mind after watching this video is “How many times heart beats I have per minute?”.

“How many times heart beats I have per minute?”.

This is the question that made up my mind after watching this video.

**Page 63 Exercise 2 Answer**

The video mentioned above shown some images that predict the pattern of the most hard-working organs in our body.

The reason is for knowing how each of them works and what does the pattern each of them follows.

You may frequently utilize visual cues to figure out what’s in the shot and what the remainder of the thing could appear like.

The main question that comes to my mind after watching this video is “How many times heartbeats I have per minute?”.

The main question that I will answer that I saw in the video is “How many times heartbeats I have per minute?”.

**Page 63 Exercise 3 Answer**

A conjecture is a result or statement in math that is thought to be valid based on basic evidence to back it up but for which no evidence or falsifiability has ever been produced.

A conjecture is nothing but a conclusion we made up where it doesn’t have any proof to make it false.

The first question that comes to my mind after watching this video is “How many times heartbeats do I have per minute?”.

An answer that I was predicted to this main question is “78” heartbeats per minute.

An answer that I was predicted to this main question is “78” heartbeats per minute. I found this answer by keeping my right thumb over the wrist of the left hand and by calculating the number of beats I hear per minute.

**Page 63 Exercise 4 Answer**

Informally, a conjecture is simply making judgments over something based on what you understand and monitor.

A conjecture is a declaration that is thought to be accurate based on data.

In general, a conjecture is your view or an informed guess over something you recognize.

You can’t indicate any of it; you simply observed a pattern and conclude.A number that I know which is too small to be the answer is 50since heartbeat below 60

results in death.

A number which is too large to be the answer is 110 since heartbeat above 110 will result in cardiac arrest.

On the number line below, we have written a number that is too small to be the answer. Also, we have written a number that is too large.

**Page 63 Exercise 5 Answer**

Informally, a conjecture is simply making judgments over something based on what you understand and monitor.

A conjecture is a declaration that is thought to be accurate based on data.

In general, a conjecture is your view or an informed guess over something you recognize.

You can’t indicate any of it; you simply observed a pattern and conclude.

A number that I know which is too small to be the answer is 50 since heartbeat below 60 results in death.

A number which is too large to be the answer is 110

since heartbeat above 110 will result in cardiac arrest.

My heartbeat is 78 beats per minute.

Plotting my prediction on the same number line, I get,

**Page 64 Exercise 8 Answer**

A conjecture is a result or statement in math that is thought to be valid based on basic evidence to back it up but for which no evidence or falsifiability has ever been produced.

A conjecture is nothing but a conclusion we made up where it doesn’t have any proof to make it false.

The following steps are used to refine my conjecture:

Take your pulses several times.

Recognize each one of the conjecture’s circumstances – The situations of a conjecture are the requirements that must be met already when we acknowledge the conjecture’s findings.

Create both examples and non-examples – Find items that meet the criteria and verify to see if they also fulfill the conjecture’s inference. Start by removing each situation one at a time and build non-examples that gratify the other circumstances but not the inference.

Seek out counterexamples – A counterexample meets all of the circumstances of a statement except the conclusion.

Try comparing yours with others.

From this way, I have found out that my heartbeats 78 times per minute.

**Page 64 Exercise 9 Answer**

Informally, a conjecture is simply making judgments over something based on what you understand and monitor.

A conjecture is a declaration that is thought to be accurate based on data.

In general, a conjecture is your view or an informed guess over something you recognize.

You can’t indicate any of it; you simply observed a pattern and conclude. I have found out that my heartbeats 78 times per minute.

The number of heartbeats per minute of an average healthy person is 72.

This is lesser than my prediction.

The answer to the Main Question is that the number of heartbeats per minute of an average healthy person is 72. It is less than my prediction.

**Page 65 Exercise 10 Answer**

A conjecture is a result or statement in math that is thought to be valid based on basic evidence to back it up but for which no evidence or falsifiability has ever been produced.

A conjecture is nothing but a conclusion we made up where it doesn’t have any proof to make it false.

The first question that comes to my mind after watching this video is “How many times heartbeats do I have per minute?”.

An answer that I was predicted to this main question is “78” heartbeats per minute.

The answer that I saw in the video is “72” heartbeats per minute.

The answer that I saw in the video is “72” heartbeats per minute.

**Page 65 Exercise 11 Answer**

The first question that comes to my mind after watching this video is “How many times heartbeats do I have per minute?”.

An answer that I was predicted to this main question is “78” heartbeats per minute.

The answer that I saw in the video is “72” heartbeats per minute.

My answer doesn’t match the answer in the video. This is because I may have done some serious physical activity before taking my pulse rate which makes it to be more than the normal rate.

My answer doesn’t match the answer in the video. This is because physical activity before taking my pulse rate increases my heartbeat.

**Page 65 Exercise 12 Answer**

A conjecture is a result or statement in math that is thought to be valid based on basic evidence to back it up but for which no evidence or falsifiability has ever been produced.

A conjecture is nothing but a conclusion we made up where it doesn’t have any proof to make it false.

An answer that I was predicted to this main question is “78” heartbeats per minute.

The answer that I saw in the video is “72” heartbeats per minute.

My answer doesn’t match the answer in the video. This is because I may have done some serious physical activity before taking my pulse rate which makes it to be more than the normal rate.

I am going to do some breathing exercises before taking my heartbeat to change my model.

Yes, I would change my model now that you know the answer.

**Page 66 Exercise 14 Answer**

An answer that I was predicted to this main question is “78” heartbeats per minute.

The answer that I saw in the video is “72” heartbeats per minute.

My answer doesn’t match the answer in the video. This is because I may have done some serious physical activity before taking my pulse rate which makes it to be more than the normal rate.

The pattern which I notice in my calculations is that the calculations differ based on the mental and physical condition I am in.

This helps me to know under which conditions my heartbeat increases or decreases.

The calculations differ based on the mental and physical condition I am in. This helps me to know under which conditions my heartbeat increases or decreases.