Explanation of approximation, decimal place, significant figure

Answers

Answer 1

Answer:

im not an expert in math but i'll do my best:

1. an approximation is something that is almost, but not exactly something. for example, 5.02 is approximately 5. it's not EXACTLY 5, but it's around 5.

2. decimal place refers to the position of numbers after the decimal point. let's take the decimal number 7.89 for example. there are 2 numbers after the decimal point, which is 8 and 9. hence we say that 7.89 has 2 decimal places.

3. significant figure is kind of hard to explain, so i'll jump into the example straight away.

5.874 to 3 significant figures is 5.87. what i did was count 3 digits: starting from 5 to 7. to round to 3 significant figures, i look at the 4th digit, which is 4 in this case. if it's smaller than 5, i ignore everything past the digit 7, and leave the final answer as 5.87.

if the 4th digit is greater than or equal to 5, i add 1 to the 3rd digit THEN leave out all the numbers after the 3rd digit. (if this were the case, the answer would be 5.88)

lets take a trickier example, 0.064591

in this case i cannot start counting 3 digits starting from 0. i have to count starting from the number 6. the concept in this case is that the 1st significant figure cannot be a 0. in this case the answer to 3 significant figures would be 0.0646.

however, 0 can be a significant figure if it's after another number. for instance 0.90672

the 0 after the 9 would count as a significant figure because it's not the 1st significant figure in the number. however the 0 before the 9 would NOT count as one because 0 cannot be the 1st significant figure. the answer to 3 significant figures would be 0.907.

sorry this was so lengthy, i just hope this answers your question on what these are and how they work. good luck!


Related Questions

Find the value of x, y and z in the rhombus below

Answers

Answer:

... ................................

Find the value of a and b in parallelogram QRST

Answers

Answer:

a=7

b=11

Step-by-step explanation:

4a=3a+7

-3a -3a

a=7

2b=b+11

-b -b

b=11

sides parallel from eachother in a parallelogram are equal to eachother.

The following circular spinner has 10 sections of equal size. If the spinner is spun twice, what is the probability that the spinner lands on an odd number both times?

Answers

Answer:

The chance of anding on A for one spin is 90+45360=38. So the probability of that happening twice in a row is 38×38=964.

Step-by-step explanation:

hope this helps you mark me brinilylist

GIVING BRAINLIEST please its due in 10 min and please show work

Samantha invests a total of $18,000 in two accounts. The first account earned an annual interest rate of 11% and the second account earned an annual interest of 7%. At the end of one year, the total amount of money gained was $1,680.00. How much was invested into each account?

$ was invested in the account that earned 11% and

$ was invested in the account that earned 7%.

Answers

Answer:

Step-by-step explanation:

X + Y =  28500 (Equation 1).

1.11X + .9Y = 29010 (Equation 2).

How i can answer this question

Answers

Answer:

4k+11

Step-by-step explanation:

There you go. Happy to help.

the area of a window is 192 in squared. The width if the window is four inches more than half the length of the window. What are the dimensions of the window?

Answers

Answer:

Length = 16 inches and width = 12inches

Step-by-step explanation:

A = 192 in² . The width is 4 + 1/2x.  therefore let x = length

Area = LW

192 =  x(4 + 1/2 x)

192 = 4x + 1/2x²      

384 = 8x  + x²                            Multiply each term by 2 to make a  

384 + 16 =  x² + 8x + 16              Complete the square

400 = (x  + 4)²        

[tex]\sqrt{400} = \sqrt{(x + 4)^2}[/tex]

± 20 = x + 4

20 = x + 4  or  -20 = x + 4

20 - 4 = x     or  -20 - 4 = x

    16 = x   or   -24 = x   reject the negative amount

   Length = 16

   width = 4 + 1/2(16);   4 + 8 = 12

Can someone help me out on this math problem?

Answers

1 ,3, 1

The first one is 1 the second is 3 and the last one is 1

Pls help i give 5 stars and crown ​

Answers

Step-by-step explanation:

10 %, 7/10 and 0.2 are the three numbers that add up to 1

0.1 + 0.7 + 0.2 = 1

Answer:

1/4 = 0.25

0.5

10% = 0.1

7/10 = 0.7

15% = 0.15

0.2

10% + 7/10 +0.2 = 1

what is the value of the expression 5 + 6 x (5 - 2) + 9

Answers

i believe its 18x + 14

When Zainab started work, her original hourly wage was ‘y’ dollars. Her wage was then doubled, and then increased by $4. If Zainab now gets paid $17 an hour, what was her original hourly wage?

Answers

Answer:

$6.5 dollars

Step-by-step explanation:

We can make an equation to find out the original total.

2y+4=17

(subtract 4 from both sides)

2y=13

(divide by 2)

y=6.5

Hope this helped :D

if l||m, find the value of x.

Answers

l || mWhen two parallel lines are intersect by a transversal, then the corresponding angles are equal.[tex]11x - 47 = 6x - 2 \\ = > 11x - 6x = - 2 + 47 \\ = > 5x = 45 \\ = > x = 9[/tex]

Answer:

9

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

Step-by-step explanation:

11x - 47 = 6x - 2                  Corresponding angle. Add 47 to both sides

11x = 6x + 47 - 2                 Combine

11x = 6x + 45                      Subtract 6x from both sides

11x - 6x = 45                       Combine

5x = 45                              Divide by 5

5x/5 = 45/5

x = 9

evaluate the expression for the given value of x.
4x+9 for x =9​

Answers

45

since x=9 plug in 9 into the equation to get

4(9)+9

multiply 4(9) to get

36

Then add 9

which then equals 45

Answer:

answer is 45

Step-by-step explanation:

4×9=36

36+9=45

HELP MEEEE PLEASEEEE!!!!!

The graph of the step function g(x) = -x] + 3 is
shown.
What is the domain of g(x)?
5
O {xx is a real number}
O {x|x is an integer}
O {XI-2 s x <5)
O {xl-1 sxs5}

Answers

Answer:

{x| -2 ≤ x < 5}

Step-by-step explanation:

The domain is the x value in a graph, function e.t.c. From the farthest point to the left of the x-axis, we see -2. And from the farthest point to the right of the x-axis, we see 5. Therefore, the domain is {x| -2 ≤ x < 5}, Option C

Look here for visuals:

The domain of the step function g(x) is (c) {x I -2 <= x <5 }

The domain of a function is the set of input values the function can take.

From the graph, the x-values begin as -2 with a closed circle, and it ends at 5 with an open circle

The open circle means that -5 is not part of the domain, while the closed circle means that -2 is inclusive of the x-values

Hence, the domain of the step function g(x) is (c) {x I -2 <= x <5 }

Read more about domain at:

https://brainly.com/question/1770447

easy problem nice about of points

Answers

Answer:

1

Step-by-step explanation: i am not sure

Write the equation of the line that passes through the given points.
​(0​,−5​) and ​(9​,−1​)

Answers

Answer:

y=4/9x-5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-(-5))/(9-0)

m=(-1+5)/9

m=4/9

y-y1=m(x-x1)

y-(-5)=4/9(x-0)

y+5=4/9(x)

y+5=4/9x

y=4/9x-5

The table displays the amount of money Stephen has in his piggy bank.

Stephen’s Piggy Bank
Types of Coins Amount ($)
Quarters 7.50
Dimes 6.00
Nickels 5.50
Pennies 3.00

Which answer choices accurately approximate a comparison between the value of the dimes in the piggy bank and the total value of Stephen’s coins?
Select all the correct answers.


Answer choices:
6%
3/11
6/22
60%
27%
3/5

Answers

Answer:

The answer is 27%, 6/22, and 3/11.

Pls mark brainliest. :D

what is 3 1/2 X 2 X 9 1/3

Answers

Answer: 21

Steps: Convert the mixed number to an improper fraction and Reduce the numbers with the greatest common factor

- 7/2 * 2 * 3

Reduce the numbers with the greatest common factor

7 * 3

Answer = 21

There is a string of red and blue lights strung around
a window. The red lights blink every 3 seconds, and
the blue lights blink every 5
seconds. How many
times will they blink at the same time in one
minutes?

Answers

Answer:

4 times because they will have the common number of 15 and since there is 60 seconds in a minute you would divide 60 by 15, and that equals 4

Step-by-step explanation:

Carmen is given a parallelogram and is trying to prove that the opposite angles of a parallelogram are congruent. She draws a parallelogram and a diagonal as shown.Along with the definition of a parallelogram, which pair of reasons can Carmen use for her proof?

Answers

Angles theorem and Reflexive property of congurence

The solution is

Each diagonal of a parallelogram separates it into two congruent triangles

So , ΔABC ≅ ΔCDA

Opposite angles are congruent

So , ∠B ≅ ∠D

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be ABCD

Now , AC is a diagonal of the parallelogram

According to the postulates of parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

And ,

From the figure , we can deduct that ΔABC ≅ ΔCDA by

Angle A is congruent to angle C, and angle D is congruent to angle B

So , from congruent triangle theorem ΔABC ≅ ΔCDA

And ,

∠B ≅ ∠D

Because Opposite angles are congruent of a parallelogram

Hence , Each diagonal of a parallelogram separates it into two congruent triangles

So , ΔABC ≅ ΔCDA

Opposite angles are congruent

So , ∠B ≅ ∠D

To learn more about parallelogram click :

https://brainly.com/question/23488153

#SPJ2

Quien me ayuda? pls!!!

Answers

Answer:

The answer is B

Step-by-step explanation:

You need to find the derivitive of the equation and ,ultiply by B!!!

Your class is learning to tie knots. Each student needs a piece of rope that is 3/6 yard long how many yards of rope are needed for the 16 students in your class.

Answers

Answer:The class will need 8 yards.Step-by-step explanation:1 student = 3/6 rope=> 16 students = 3/6 x 16=> 48/6 = 16 students=> 8 yards = 16 students.Conclusion:

Therefore, the class will need 8 yards.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

(x+5)²=
(5x+9)²=
(10x²+12)²=
(x³+2x)²=

Answers

just use a calculator

What is the slope of the line

Answers

The slope of the line is 2

The formula for finding slope using two coordinate pairs is y-y
——-
x-x
In this case, the y values are 10 and 2, and the x values are 6 and 2. If we plug these into our formula the equation is 10-2
———
6-2
10-2 is 8 and 6-2 is 4. So 8 divided by 4 would equal 2

29. Martin has some dollar notes. 20% of the notes are $10 notes, 40% of
the remainder are $5 notes and the rest are $2 notes. He has a total
of $1026. How many notes does Martin have altogether?

Answers

Answer:

225 notes

Step-by-step explanation:

Let the number of notes is x.

20% of notes is:

0.2x

40% of the remainder is:

40% of 0.8x, so it is 0.8x*0.4 = 0.32x

Remaining notes are:

x - 0.2x - 0.32x = 0.48x

Total of the notes:

0.2x*10 + 0.32x*5 + 0.48x*2 = 10262x + 1.6x + 0.96x = 10264.56x = 1026x = 1026/4.56x = 225

PLS HELP WILL GIVE BRAINLYEST

Answers

131° is the right answer

Step-by-step explanation:

the supplementary angle to 139° (left of that angle, still under the red l line) is 180 - 139 = 41°.

therefore,

A = 180 - 90 - 41 = 49°.

B is the supplementary angle to A.

B = 180 - 49 = 131°

remember, the sum of all angles around one point on one side of a line is 180° (that is called supplementary angles).

and the sum of all angles in a triangle is always 180° too.

These are the coordinates of a
quadrilateral. Determine whether it is
also a trapezoid, parallelogram, or
neither.
J(5,5), K(8,6), L(9,9), M(6,8)
A. trapezoid
B. parallelogram
C. neither

Answers

Answer:

parallelogram is the answer

Answer:

Step-by-step explanation:

The quadrilateral is a parallelogram ( more precisely is the rhombus )

Select all the expressions that equal:

-7 - (- 12)

below:

Answers

Answer:

c and e

Step-by-step explanation:

[tex]-7-(-12) = -7 +12 = 12 +(-7)[/tex]

If 5/3 liters of water is enough to water ⅕ of your yard, 5 3 how much water is needed to water the entire yard?

Answers

Answer:

8 1/3 liters

Step-by-step explanation:

create a proportion from water : yard

let 'y' = water for entire yard

5/3 ÷ 1/5 = y ÷ 5/5

5/3 · 5/1 = y/1

25/3 = y/1

3y = 25

y = 8 1/3

HELP PLEASEEEEEE ill give u 30 point plays brainly u dont even have to show ur work

Answers

Answer:

1) 32/7

2) 7/5

3) 13/4

4) 32/15

5) 19/2

6) 57/14

Step-by-step explanation:

Use a calculator and/or multiple the coefficients with the value of the denominator then add it to the numerator and multiply.

WILL GIVE BRAINLIEST HELP ASAP

Answers

Step-by-step explanation:

I cannot draw here, but I can show and tell you how to find 2 points of the individual lines that you can then mark on the chart and draw the line through them.

1)

y = 7/2 x - 2

so, the first and easiest point is the y-intercept (where x = 0).

x = 0, therefore, y = -2

so, the first point is (0, -2)

for the second point : what value of x would eliminate the fraction and make this whole integer number calculations ?

well, x = 2 !

so,

y = 7/2 × 2 - 2 = 7 - 2 = 5

and our second point is (2, 5)

2)

y = -6x + 3

the same principles. first x = 0, therefore y = 3

the first point is (0, 3)

for the second point we can choose any integer x, as all the other terms are integer too.

let's pick x = 1

y = -6×1 + 3 = -6 + 3 = -3

so, the second point is (1, -3)

3)

y = -5

this just means that for every possible value of x the resulting y value is -5.

that means it is a horizontal line through y = -5 or (0, -5)

4)

y = 6/5 x + 1

the same principles. x = 0, therefore y = 1

the first point is (0, 1)

for the second point, again, what x eliminates the fraction and makes all an integer operation ?

well, x = 5.

y = 6/5 × 5 + 1 = 6 + 1 = 7

ok, 7 is off the chart, so let's use x = -5 instead.

y = 6/5 × -5 + 1 = -6 + 1 = -5

so, the second point on the chart is (-5, -5)

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