Questions on Algebra: Decimal numbers, power of 10, rounding answered by real tutors!

Algebra -> Algebra -> Decimal-numbers -> Questions on Algebra: Decimal numbers, power of 10, rounding answered by real tutors! Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

Algebra: Decimal numbers, power of 10, rounding

Solvers

Lessons

Problems, free tutors

Quiz

In Depth

Tutors Answer Your Questions about decimal-numbers (FREE)

Question 240274: step by step directions to turning a decimal into a fraction in its simplest form

Answer by Alan3354(6097)

(Show Source):

You can put this solution on YOUR website!
0.2 = 2/10
= 1/5

Question 239962: how do i change a percent to a decimal?
Answer by solver91311(5072)

(Show Source):

You can put this solution on YOUR website!

Move the decimal point two places to the left.

John

Question 238228: write the provided decimal in words
233.056
Answer by College Student(217)

(Show Source):

You can put this solution on YOUR website!
Disclosure: I got information from www.aaamath.com
.
Decimals are a method of writing fractional numbers without writing a fraction having a numerator and denominator.
.
The fraction 7/10 could be written as the decimal 0.7
The period or decimal point indicates that this is a decimal.
.
The decimal 0.7 could be pronounced as SEVEN TENTHS or as ZERO POINT SEVEN.
.
There are other decimals such as hundredths or thousandths. They all are based on the number ten just like our number system.
.
A decimal may be greater than one. The decimal 3.7 would be pronounced as THREE AND SEVEN TENTHS.
.
The fraction 37/100 could be written as the decimal 0.37. The period or decimal point indicates that this is a decimal.
.
The decimal 0.37 could be pronounced as THIRTY-SEVEN HUNDREDTHS or as ZERO POINT THREE SEVEN or ZERO POINT THIRTY-SEVEN.
.
A decimal may be greater than 1. The decimal 12.37 could be pronounced as TWELVE AND THIRTY-SEVEN HUNDREDTHS or as TWELVE POINT THIRTY-SEVEN.

Question 238425: what is 10 over 50 as a decimal?

Answer by Fombitz(2113)

(Show Source):

You can put this solution on YOUR website!
10/50=1/5=0.2

Question 238303: What 10 to the negative 5th power in decimal ?

Answer by checkley77(7072)

(Show Source):

You can put this solution on YOUR website!
10^-5=1/10^5=1/100,000=.00001 ANS.

Question 238231: write the provided decimal as a fraction or a mixed number
9.005
Answer by checkley77(7072)

(Show Source):

You can put this solution on YOUR website!
9.005
9 5/1,000
(9*1,000+5)/1,000
(9,000+5)/1,000
9,005/1,000

Question 238235: round the provided decimal to the given place value
63.4523 nearest thousandth
Answer by checkley77(7072)

(Show Source):

You can put this solution on YOUR website!
63.4523
65.452 ANS. ROUNDED TO THE NEAREST THOUSANDTH.

Question 238236: add -18.2+(-10.8)
Answer by checkley77(7072)

(Show Source):

You can put this solution on YOUR website!
add -18.2+(-10.8)
-18.2-10.8
-29 ANS.

Question 238237: subtract -9.4-(-10.8)
Answer by checkley77(7072)

(Show Source):

You can put this solution on YOUR website!
-9.4-(-10.8)
-9.4+10.8=1.4 ANS.

Question 237840: Mercury's average distance from the sun is 57,910,000 km. The Earth is approximately 93,000,000 miles from the sun. What would be the distance of a trip from Mercury to Earth, via the sun? Look out for the units!!! (1 km = 0.62 mi) Express answer in scientific notation. (Round to the nearest thousandths place.)
Answer by College Student(217)

(Show Source):

You can put this solution on YOUR website!
Steps:
a. need to convert one of the units to the other in order to add them up
b. since your problem doesn't specify which unit to express the result, I'll convert km into miles.
b. add the miles
c. express answer in scientific notation
.
Problem:
Since 1 km = 0.62 miles...
57,910,000 km *0.62 mi / 1km ...km units cancel...
35,904,200 miles
Now add it to the other distance
35,904,000+93,000,000
128,904,200 miles
Now in scientific notation:
1,289*10^5 miles

Question 237838: Light travels at approximately 1.86 x 105 miles per second. The Sombrero galaxy is approximately 1.652 x 1020 miles from Earth. How long does light from the Sombrero galaxy take to travel to Earth? Give your answer in terms of seconds. Then convert your answer to years. Express your answer in scientific notation, round to the nearest hundredths place. (d=rt)
Answer by ankor@dixie-net.com(6693)

(Show Source):

You can put this solution on YOUR website!
Light travels at approximately 1.86 x 10^5 miles per second.
The Sombrero galaxy is approximately 1.652 x 10^20 miles from Earth.
How long does light from the Sombrero galaxy take to travel to Earth?
Give your answer in terms of seconds. Then convert your answer to years. Express your answer in scientific notation, round to the nearest hundredths place. (d=rt)
:
t = dist/speed
:

Seconds
:
Convert to yrs. 1 yr = 3600*24*365 =

sec

yrs

Question 237047: what is the decimal number of 500

Answer by thrasherlax74(11)

(Show Source):

You can put this solution on YOUR website!
it's 500 unless the question is what is the decimal number of 500%.

Question 236973: 72.9301 in word form
.414783 in word form
470.03072 in word form
Answer by RAY100(1637)

(Show Source):

You can put this solution on YOUR website!
seventy two and nine thousand three hundred one , ten thousandths
.
four hundred and fourteen thousand, seven hundred eighty three, millionths
.
four hundred seventy and three thousand seventy two, hundred thousandths
.

Question 234453: please Round 8.8227 to the nearest tenth
Answer by rfer(2688)

(Show Source):

You can put this solution on YOUR website!
8.8
the 2 is less than 5 so it does not round up

Question 233850: What is the decimal halfway between 0.9999999 and 1.1?
How did you find the answer?
Please help! :)
Answer by scott8148(3385)

(Show Source):

You can put this solution on YOUR website!
half way between is the average

(0.9999999 + 1.1) / 2 = 2.0999999 / 2 = 1.04999995

Question 232768: How do I solve this equation:
x - 0.25x = 72
Answer by rfer(2688)

(Show Source):

You can put this solution on YOUR website!
x-0.25x=72
0.75x=72
x=96

Question 232700: Algebra: What is decimal form of 7/12?
Answer by rfer(2688)

(Show Source):

You can put this solution on YOUR website!
7/12=0.58333333
divide 7 by 12

Question 232648: This is pretty confusing how would I do this
Of the 20,118 runners who started the 2006 Boston Marathon, 19,682 finished the 26.2 mile course. What is the total distance of all the runners that finished the race? How many times around the globe would these marathon runners go? Consider the circumference of the Earth to be 2.5 x 10^4 miles. Express answer in standard notation. Round answer to nearest tenth.
Answer by checkley77(7072)

(Show Source):

You can put this solution on YOUR website!
19,682*26.2=515,668.4 miles total.
5.156884^10^5/2.5*10^4=20.6 times around the world.

Question 232649: The Atlantic Ocean has a volume of 77,640,000 cubic miles. If there are roughly 7.48 gallons in one cubic foot, then how many gallons are in the Atlantic Ocean? (1 cubic mile = 5280^3 cubic feet). Express answer in scientific notation. Round answer to the nearest tenth.
Answer by checkley77(7072)

(Show Source):

You can put this solution on YOUR website!
7.764*10^7*7.48*5,280^3
5.807*10^8*1.472*10^11
8.5*10^19 ans.

Question 232652: The mass of a dust particle is 7.53 x 10^-10 kg. If there were 6 x 10^4 particles in a giant dust ball on your floor, what would be the mass of that dust ball? Express your answer in scientific notation.
Answer by checkley77(7072)

(Show Source):

You can put this solution on YOUR website!
(7.53 x 10^-10)(6 x 10^4 )=45.18*10^(4-10)=45.18*10^(-6)

Question 232457: For the decimal 8.57932: What is the place value of 7? What is the place value of 2?
Answer by rfer(2688)

(Show Source):

You can put this solution on YOUR website!
7 is in the hundreths place
2 is in the one hundred thousandths place

Question 232456: For the decimal 8.57932: What is the place value of 7? What is the place value of 2?
Answer by unlockmath(121)

(Show Source):

You can put this solution on YOUR website!
Hello,
The 7 is in the hundredths and the 2 is in the hundred thousandths. Notice that it ends in -ths. All the place vaules to the right of the decimal ends in -ths.
RJ Toftness
www.math-unlock.com

Question 232167: which is greater 5.6 or 5.06. My son's math book doesn't explain those.
Answer by rfer(2688)

(Show Source):

You can put this solution on YOUR website!
lookat it this way 6/10 is biger than 6/100
does that help?

Question 232015: How would you write "two thousand twenty-seven thousandths" as numerals? Thank you.
Answer by stanbon(26297)

(Show Source):

You can put this solution on YOUR website!
How would you write "two thousand twenty-seven thousandths" as numerals? Thank you.
--------------
Ans: 0.002037
====================
Cheers,
Stan H.

Question 231132: please help me solve this equation:.09+120.8 divided by 4(2.5-6.4)

Answer by checkley77(7072)

(Show Source):

You can put this solution on YOUR website!
(.09+120.8)/4(2.5-6.4)
120.89/4*-3.9
120.89/-15.6=-7.75 ans.

Question 227256: Need to know how to round 9.95 to the nearest tenth. Thanks
Answer by rfer(2688)

(Show Source):

You can put this solution on YOUR website!
5 and above round up 1 on the number to the left
9.95
round up the five adds 1 to the nine
which makes the 9 on the left of the decimal round up
answer=10.0

Question 226240: Estimate the product 6.92 x 32.458 by rounding to the nearest one.
Answer by jim_thompson5910(13794)

(Show Source):

You can put this solution on YOUR website!
6.92 rounds to 7 (since this is the nearest whole number) and 32.458 rounds to 32. So multiplying these two numbers gets us:

7*32=224

So the product 6.92 x 32.458 is roughly 224

Question 225324: (6x^2-8x+6) + (-4x^2-8x-1)
Answer by LtAurora(115)

(Show Source):

You can put this solution on YOUR website!
Since they are being added, we can disregard the parentheses and add like terms.
So, x^2 terms:

x terms:

And the numbers:

So our solution is:

Question 225327: x^2+9x+14 divided by x+2
Answer by LtAurora(115)

(Show Source):

You can put this solution on YOUR website!
Synthetic division time!
Drop the 1 below the line. Then multiply it by -2 to give us -2. Add 9 and -2 to give us 7. Multiply 7 by -2 to give us -14. Add -14 and 14 to give us 0.
(disregard any periods, I was trying to get the lines to line up better)
-2|1 9 14
....|..-2 -14
....----------
......1. 7. 0
So we're left with (x+7).

Question 225321: 32x^2+24x-11 divided by 4x
Answer by LtAurora(115)

(Show Source):

You can put this solution on YOUR website!
Assuming:

We can rewrite to this:

, and

. So, our first term becomes:

The second term:

and

. So, the second term becomes:

The last term: 11/4 does not give us an integer, so we leave it in the 11/4 form. And the x term does not cancel with another x, so our final answer remains:

Question 225319: 24x-40 divided by 8
Answer by LtAurora(115)

(Show Source):

You can put this solution on YOUR website!
For this: 24x-40 divided by 8
I'm assuming you're looking at:

We can divide the 24 and the 40 by 8 to simplify:

This works out to:

Question 225318: (x-9)(x^2+9x-4)
Answer by LtAurora(115)

(Show Source):

You can put this solution on YOUR website!
Have to multiply the x through to each term, then the -9:

We can combine like terms, and note that the

and the

cancel. So:

is our answer.

Question 225316: 4x(12x-6)
Answer by LtAurora(115)

(Show Source):

You can put this solution on YOUR website!
Multiply the 4x to each term in the parentheses:

. That's it. There are no more steps to show.

Question 225317: (x+10)(x-12)
Answer by LtAurora(115)

(Show Source):

You can put this solution on YOUR website!
Factor!
:-)
Multiply the first x through to each term in the second parentheses, then the 10:

Combine the middle terms:

The End.

Question 225184: Ben is making wooden toys for the next arts and crafts sale. Each toy cost Ben $1.80 to make. if he sells the toys for $3.00 each, how many will he have to sell to make a profit of exactly $36.00?
Answer by LtAurora(115)

(Show Source):

You can put this solution on YOUR website!
THe equation we need to set up is:
3x-1.8x=36
Combine like terms:
1.2x=36
Divide both sides by 1.2:
x=30
So, he needs to sell 30 toys before he makes $36.00. I hope it doesn't take him long to make these things, because that seems to be a pretty awful profit.

Question 224676: A numeral with 9 in the ten thousands place and the tens place
Answer by checkley77(7072)

(Show Source):

You can put this solution on YOUR website!
90,090 ans.

Question 223561: A weather balloon is launched at sea level.The balloon is carrying instruments that measure temperature during the balloon's trip.After the balloon is released, the data collected shows that the temperature dropped 0.15'F for each meter that the balloon rose. If the temperature at sea level is 50'F, determine the temperature at a distance of 60 meters above sea level.
Answer by ankor@dixie-net.com(6693)

(Show Source):

You can put this solution on YOUR website!
A weather balloon is launched at sea level.
The balloon is carrying instruments that measure temperature during the balloon's trip.
After the balloon is released, the data collected shows that the temperature
dropped 0.15'F for each meter that the balloon rose.
If the temperature at sea level is 50'F, determine the temperature at a distance of 60 meters above sea level.
:
T = 50 degrees, minus (altitude in meters times .15)
T = 50 - .15(60)
T = 50 - 9
T = 41 degrees

Question 223922: express the polynominal in descending or if already polynominal so state.
9x+7x^4
Answer by drj(1380)

(Show Source):

You can put this solution on YOUR website!
express the polynominal in descending or if already polynomial so state.

In this example, start with the polynomial with the highest degree..that is, the x term with the highest exponent.

ANSWER:

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J

Question 223926: (5y-10) - (y-3)
Answer by drj(1380)

(Show Source):

You can put this solution on YOUR website!

Question 223712: Express this number in scientific notation
1,900,000
Answer by drj(1380)

(Show Source):

You can put this solution on YOUR website!
Express this number in scientific notation

where I counted the number of decimal places to the right
of 1 which in this case is 6.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J

Question 223714: Express this number in decimal form
(8.6 * 10^2)(4.6 * 10^-5)
Answer by drj(1380)

(Show Source):

You can put this solution on YOUR website!
Express this number in decimal form

Question 223715: Express this number in decimal form without exponents.
8.1 * 10^2 divided by 0.9 * 10^-4
Answer by drj(1380)

(Show Source):

You can put this solution on YOUR website!
Express this number in decimal form without exponents.
8.1 * 10^2 divided by 0.9 * 10^-4

Question 223713: Express this number in decimal form without exponents
8.529 * 10^-5
Answer by drj(1380)

(Show Source):

You can put this solution on YOUR website!

where I moved the decimal point 5 places to the left.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585