SOLUTION: simplify (show your work) 17.23/0.035 (to one decimal place) Thanks for the help

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 Algebra: Decimal numbers, power of 10, rounding Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on decimal-numbers Question 42201: simplify (show your work) 17.23/0.035 (to one decimal place) Thanks for the helpAnswer by AnlytcPhil(1276)   (Show Source): You can put this solution on YOUR website!``` simplify (show your work) 17.23/0.035 (to one decimal place) Thanks for the help ______ 0.035)17.23 First we must move the decimal place in the divisor 0.035 three places to the right to get the decimal to the right so we can delete it and make it just the whole number 0035, but we drop the two 0's in the beginning and make it 35 Secondly since we moved the divisor's decimal three places to the right, we must also move the decimal place of the dividend 17.23 three places to the right also. However since there are only two places after the decimal in 17.23 we annex another 0, making it 17.230 so that we can move the decimal three places to the right and have 17230. Since we want to get the answer to one decimal place, we annex a decimal and a 0 on the end of 17230, making it 17230.0 So we have 35)17230.0 Place a decimal directly above the decimal . 35)17230.0 To get an idea of what digit to put first, we divide the first digit 3 of 35 into the first two digits of 17230 since the first digit of 17230 is less than 3. So 3 goes into 17 5+ times, so we try 5: 5 . 35)17230.0 175 No, 5 is too much, because we cannot subtract 175 from 172. So we try 1 less, or 4 4 . 35)17230.0 140 Now we subtract and get 4 . 35)17230.0 140 32 Now we bring down the next digit of the dividend, 3. 4 . 35)17230.0 140 323 Now we divide the first digit 3, of the divisor 35, into the first two digits 32, of 323. So we try 9 49 . 35)17230.0 140 323 Multiply 9 times 35 and get 315. Write that under the 323 49 . 35)17230.0 140 323 315 Subtract 315 from 323 and get 8 49 . 35)17230.0 140 323 315 8 Bring down the next digit from the dividend, 0. 49 . 35)17230.0 140 323 315 80 The first digit of 35, 3, goes into the first digit of 80, which is 8, 2 times. So we try a 2 next to the 9 in the quotient. 492. 35)17230.0 140 323 315 80 Then we multiply 4 by 35 and get 70 and write it under the 80 492. 35)17230.0 140 323 315 80 70 We subtract 70 from 80 and get 10 and write it at the bottom: 492. 35)17230.0 140 323 315 80 70 10 Bring down the last digit from the divisor, 0. 492. 35)17230.0 140 323 315 80 70 10 0 The first digit of 35, 3, divides into the first two digits of 100, namely 10, 3 times, so we try 3 in the quotient after the decimal 492.3 35)17230.0 140 323 315 80 70 10 0 Now we multiply 3 by 35 and get 105. 492.3 35)17230.0 140 323 315 80 70 10 0 10 5 But we cannot subtract 105 from 100, so we try 1 less than 3, or 2. 492.2 35)17230.0 140 323 315 80 70 10 0 7 0 and subtract 492.2 35)17230.0 140 323 315 80 70 10 0 7 0 3 0 Now we are done except for deciding whether we leave the answer 492.2 or whether we round it up to 492.3. We round it it up to 492.3 because the remainder 30 is at least half of the divisor 35. So the answer is 492.3 Edwin AnlytcPhil@aol.com```