Biased Problems Math

Introduction to biased problems in math:

Normally biased problems in math are nothing but a question wondered the answers are favored over others such a way. And the main thing in biased math problems are it will make some assumptions. These assumptions on a biased problems may or may not be true.

Example:

Do you want t eat pizza or burger? This is an unfair question, because it favors pizza over burger.

Let us see some examples for biased problems in math.

Examples foe biased problems in math:


Example 1:

If the following question is a biased then say the answer as 0 or 1. Where yes mean 1 and no mean 0.

Do you like math subject?

Solution:

The given question is Do you like math subject?

The answer is 0. Because here it won’t take any assumption or I didn’t take any answers over another answer. So it is an unbiased question.

Example 2:

A survey among the importance of the elder’s health care conducted. The percentage of the health care and age of the elders is given. These percentage and age gives the sample. From this find which sample is a biased one.

Sample 1:

Percentage (%)    28    25    22    23
Age limit    30 - 45    46 - 50    50 - 60    61 - 80
Sample 2:

Percentage (%)    32    28    34    6
Age limit    30 - 45    46 - 50    50 - 60    61 - 80
Sample 3:

Percentage (%)    18    19    25    26
Age limit    30 - 45    46 - 50    50 - 60    61 - 80
Sample 4:

Percentage (%)    10    15    22    20
Age limit    30 - 45    46 - 50    50 - 60    61 - 80

Solution:


From the above we understand a sample is nothing but a population sample.

When a population survey has to take mean we have to take the population sample we have to study.

Here the percentage of sample which is above 80 is 6 %. And it does not represent the opinions about the previous elders. So sample 2 is a biased one.

Negative and Positive Math

Introduction:

Negative and positive signs are the important concepts in mathematics.  In mathematics addition and subtraction and multiplication and division are the important basic arithmetic operations. Subtraction is represented as the symbol ‘-‘and addition is represented as the symbol ‘+’. In this topic we have to discuss about the negative and positive signs of math.

The Basic operations in math are

Positive (+)
Negative (-)
Multiplication (x)
Division (/)

Brief Description of Negative operation in math


Negative Operation:

Negative operation is ‘-’. It is used to subtract two or values.

For Example Subtract (5, 3) means 5-3 =8.

The most common key words used to represent subtraction are

Subtract
Difference
Minus
Negative
Less
Left
Example Problem:

Subtract 34-18

Solution:

Here the following steps to be followed,

Step 1: These are the two digit numbers.

Step 2: First we can subtract the unit digits.

Step 3: here the unit digits are 4 and 8

Step 4: 8 is greater than 4

Step 5: So we are not able to subtract directly.

Step 6: Borrow one from the ten’s digit value 3

Step 7: Now the tern’s digit value be 2

Step 8: one’s digit value be 14

Step 9: now 8 is subtracted from 14 that is 6

Step 10: therefore the unit digit is 6

Step 11: ten’s digit subtraction values are 2 and 1

Step 12: Therefore the ten’s unit digit be 1

Step 13: Therefore the difference of 34 and 18 is 16.



Brief Description of Positive operation in math


Positive Operation:

Positive operation is ‘+’. It is used to add two or values.

For Example Add (5, 3) means 5+3 =8.

The most common keywords used to represent addition are

Sum
Add
Plus
Increase
Increment
Total
Positive
More
Example Problem:

Find the sum of 15, 18.

Solution:

Here the following steps to be followed,

Step 1: These are the two digit numbers.

Step 2: First we can add the unit digits.

Step 3: The sum of the unit digits be 5 + 8 is 13.

Step 4: Then keep 3 and keep 1 as remainder to the next two digit term.

Step 5: Then the sum of ten’s digit number is 1 + 1 =2

Step 6: We can add this 2 to the remainder value 1

Step 7: Therefore the ten’s place value is 3

Step 8: And then unit place value is 3

Step 9: So the total sum of 15 + 18 be equal to 33.

Math Compatible Numbers

Introduction:

Well matched numbers are compatible numbers. Each compatible number friendly with other compatible numbers. If we want to estimate the mental computation, use the compatible numbers. The problem have actual numbers with closely related value. Addition, subtraction, product or division are estimated by using compatible numbers. Math compatible numbers have the end integers as 0 or 5.


Explanation for math compatible numbers


Examples of math compatible number:

1). If we take the 12 and 4, they are called as math compatible numbers. Because 4 divides 12 without any remaining.

2). The compatible numbers 1200 and 6 because 6 divides the 12 quickly and give the answer 2. At the end of 2, we put two zeros.

3).  100 and 20 are math compatible numbers because multiplying 1 and 2 to get 2 quickly. At the end of 2 put three zeros.

4). If we get the compatible numbers for 33 and 28, round the values. That is,compatible number for both 33 and 28 may be (35, 30) or (30, 25). The compatible number sum is 65 or 55.

Estimate the division using compatible numbers:

We cant get the exact numbers when we divide the compatible numbers. It is used for reasonable estimation. If we want to reduce the one number value, we should reduce the another one also.We must increase the value of one number when another number increased. It give the close value.

Example with division:

1). 228 divided by 4.

230 and 5 are compatible numbers for 228 and 4. Here compatible number’s value are increased. The number 5 divide the 230 to get 26.

2). 198 divided by 3.

200 and 4 are math compatible numbers for 198 and 3. Here also the values are increased. Divide the 20 by 4 and get 5. Then add one zero to 5.

Estimate the multiplication using compatible numbers:

Multiplication also follow the same procedure as division.

Example with multiplication:

1). 68 multiply with 3.

The compatible numbers for 68 and 3 are 70 and 5. The value 7 multiply with 5 to get 35. Add one zero to 35.

2). 585 multiply with 190.

The compatible numbers for 585 and 195 are 600 and 200. Multiply 6 and 2 to 12 and put four zeros.

Exercise problem for math compatible numbers:

1). Add 63 and 42.

Answer: The compatible numbers are 60 and 40.

2). Divide 450 by 25.

Answer: The compatible numbers are 500 and 30.

What Does Mean in Math Terms

Introduction of mean in math terms:

In statistics, the mean key word refers to the value of the total values and the total value is made to divide with the number of terms present in the terms. The means also termed as arithmetic mean, which equals the value on the either side of the terms. The other terms are statistics are named as median and mode. The mean is simple term in the statistics to calculate the results.


Mean in math term:


The list of values in which its sum is made to divide through the total number of values present in the list is known as mean. The mean is also known as arithmetic mean. The terms mean and average are similar. The difference of the two means are nothing but the subtraction of the first mean vale with the another mean value.

Mean = sum of the values/total number of values

The mean of the grouped data is nothing but the two list of values are made to given on the question. In which the mean are calculated through the formulae of

Mean of grouped data = SfX / Sf

The SfX is nothing but the product of values present in the both list of elements, and the sum of the total lists are denoted.

The Sf is nothing but the sum of the values present in the second list of elements.

Example problems for mean in math terms:


Example 1:

Heights in centimeters of thirteen students are:

126, 127, 145, 140, 157, 149, 130, 136, 166, 129, 143, 134, 129

Solution:

If we can find the mean, using the following formula in math:

Mean: sum of all values/total numbers

Mean= 1811/13

=139.307

Answer: 139.307

Example 2:

The highest scores of the first ten players in ICC ODI are:

198,195,192,190,186,184,182,180,179,178.

Solution:

We can find the mean, using the formula found below in math terms

Mean = sum of all values/total numbers.

= 1864/10

Answer: 186.4

4th Grade Math Practice

Introduction to 4th grade math practice:

Study of arithmetic operation and numbers system is called basic mathematics. 4th grade math practice is nothing but, it is used to practicing some basic math operation. Math practice is used to growth our mathematical knowledge.

Addition, subtraction, division and multiplication are called basic arithmetic operations of mathematics. The 4th grade math practice is deals with basic algebra, in the 4th grade math practice is involves a basic math operation only. This article we are discussing about 4th grade math practice problems.

Basic addition problems for 4th grade math practice:


1. Find the total value of the given numbers, using addition operation, 455 + 266 + 767.

Solution:

Given numbers using addition operation for, 455 + 266 + 767

First step, we are going to add the first two numbers,

455 + 266 = 721

Then add third number with first two numbers of sum values,

721 + 767 = 1488

Finally we get the answer for given numbers are 1488.


Basic subtraction problems for 4th grade math practice:


2. Find the subtract value of the given numbers, using subtraction operation, -60 - 750 – 224.

Solution:

Given numbers using subtraction operation for, -60 - 750 – 224

First step, we are going to add the first two numbers,

- 60 - 750 = -810

Then subtract third number with first two numbers of subtracted values,

- 810 - 224 = -1034

Finally we get the answer for given numbers are -1034.


Basic multiplication problems for 4th grade math practice:

3. Find the multiply value of the given numbers, using multiplication operation, 20 * 12 * 8.

Solution:

Given numbers, using multiplication operation for, 12 * 20 * 8.

First step, we are going to multiply the first two numbers,

12 * 20 = 240

Then multiply the third number with first two numbers of multiplied values,

240 * 8 = 1920

Finally we get the answer for given numbers are 1920.



4th grade math practice problems:


1. Find the add value of the given numbers, using addition operation, 55 + 26 + 74.

Answer is 155.

2. Find the add value of the given numbers, using addition operation, 31 + 26 + 69.

Answer is 126.

3. Find the subtract value of the given numbers, using subtraction operation, -54 - 7 - 16.

Answer is -77.

4. Find the subtract value of the given numbers, using subtraction operation, -5 - 7 - 22.

Answer is -34.

5. Find the multiply value of the given numbers, using multiplication operation, 2 * 5 * 9.

Answer is 90.

6. Find the multiply value of the given numbers, using multiplication operation, 6 * 5 * 2.

Answer is 60.

Answer Pre Algebra Questions

Introduction to answer pre algebra questions:

Pre algebra is a method of calculating the number system by different methods like linear equations and geometry methods. In algebra each and every systems has a common formula to explain its all concepts.
Pre algebra is a easiest number system where we can implement the techniques for any algebra calculations.
Pre algebra describes about the fraction, decimals, polynomials, ratios, geometry, measurements and integers and other number formats.

Example for answer pre algebra questions :


1)  solve the question:   g + 79 = 194

Answer:

g + 79 = 194

g + 79 - 79 = 194 - 79 ( add -79 on both sides, we get)

g = 115.

2)    Solve:   n - 56 = 604

Answer:

n - 56 = 604

n - 56 + 56 = 604 + 56 ( add 56 on both sides,we get)

n = 660

3)    compute:   `m / 5` = 10

Answer:

`m / 5` = 10

5`(m / 5)` = 10(5) ( multiply by 5 on both sides, we get)

m = 50

4)    fine the value of s in the given question:   7s - 7 = 42

Answer:

7s - 7  = 42

7s - 7 + 7 = 42 + 7 (  add 7 on both sides, we get)

7s = 49

(7s) / 7 = 49 / 7 ( divide by 7 on both sides, we get)

s = 7

5)    find:   5(h + 2) = 25

Answer:

5(h + 2) = 25

[5(h + 2]/5 = 25/5 (divide by 5 on both sides, we get)

h + 2 = 5

h + 2 -2 = 5 -2 ( add -2 on both sides, we get)

h = 3

6)    The amount of twice a digit plus 13 is 75.  Find the number.

Answer:
Answer:

•    The word "is" represents equals.

•    The word "and" represents plus.

•    Therefore, we can rewrite the problem like the following:

•    The total of twice a number and 13 equals 75.

•     Using figures and a variable that denotes something, D in this case (for digit),

•    we can write an equation that represents the same thing as the given problem.

2D + 13 = 75

By solving this equation by isolating the variable.

2D + 13 = 75 Equation.

- 13 = -13 Add (-13) to both sides.

-------------------

2D = 62

D = 31 Divide 2 on both sides.

So the number is 31.


Answer pre algebra questions: Practice problems


1) (9n 2 + 15n + 9) + (14n 2 + 12n + 8) = ?

Answer: 23n 2 + 27n + 17  (after solving the question)

2) (2a + b) + ( –a + 4b) = ?

Answer: a + 5b ( after solving the question)

Sunshine Math Answers

Introduction to sunshine math answers:-

SUNSHINE MATH, this course is planned to improve your child’s voyage from first to last in mathematics. It is a math fortification course offered by Somerset Academy. Mission of Sunshine Maths is to put forward each and every students the chance to defy themselves in all category of math conception by giving them additional learning activities.

Sunshine Math Word Problems with Answers:-


Prob 1 :

Ram can cut a piece of wood in to three pieces in 20 minutes. How long it takes for him to cut the piece of wood in to 6 pieces.

Sol :

Given:-

Ram can cut a piece of wood in to three pieces in 20 minutes.

Find in how many minutes ram cut 6 pieces of wood.

3 pieces = 20 minutes. ------------> (1)

6 pieces = ? Minutes

6 is two times of 3.

So he takes double the time he took for cutting the piece in to three pieces.

The time taken to cut the wood in to three pieces is 20 minutes.

Double the times of 20 minutes is 40 minutes.

The time taken to cut the wood in to six pieces is 40 minutes.

Ans : 40 minutes



More examples:-Sunshine Math Equation Problems with Answers:-


Prob 2 :

When I was at the park I saw some girls and cats. Counting heads and legs I got 32 and 104 respectively. Find the total number of girls and cats in the park.

Sol :

Given there are totally 32 heads and 104 legs respectively.

The equation for head can be written as x + y = 32.

Let x – girls, y – cats.

The equation for legs can be written as 2x + 4y = 104.

By solving the above two equation we get

y = 20 and x = 12 .

Ans : The number of girls in the park is 12 and number of cats in the park is 20.

Prob 3 :

23 + 21 + 5+ 3 + 56 = 159.

Find the given expression correct or not.

Sol :

The given expression is 23 + 21 + 5+ 3 + 56 = 159.

The sum of numbers in right hand side is 106.

Ans : So the given expression is algebraically wrong .

Prob 4 :

13 + 41 + 51+ 32 + 34 = 171.

Find the given expression correct or not.

Sol:-

The given expression is 13 + 41 + 51+ 32 + 34 = 171.

The sum of numbers in right hand side is171.

Ans : So the given expression is algebraically correct.

Prob 5 :

3 + 1 + 5+ 32 - 34 = 11.

Find the given expression correct or not.

Sol :

The given expression is 3 + 1 + 5+ 32 - 34 = 11.

The sum of numbers in right hand side is 7.

Ans :So the given expression is algebraically wrong.