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DSPM 0700 Homework: Converting Fractions to Decimals and Performing Arithmetic Operations , Assignments of Elementary Mathematics

Instructions and examples for converting fractions to decimals, sorting numbers, rounding numbers, estimating sums, and performing arithmetic operations. It also includes exercises for practice.

Typology: Assignments

Pre 2010

Uploaded on 08/13/2009

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Name___________________
DSPM 0700 HOMEWORK (ASSIGNMENT 1, SECTION 1-1)
Show the following fractions as decimals:
1.
84
100
0.84 (Two decimal places)
2.
22
10,000
0.0022 (Four decimal places; need leading zeros for remaining places)
3. Sort the following numbers in order from smallest to largest: 76.3, 76.33, 75.9, 76,
76.124.
75.9, 76, 76.124, 76.3, 76.33
75 is the smallest whole number part, so 75.9 is the smallest number. 76 is
assumed to have the decimal point to the extreme right (i.e., 76. or 76.0) and it
would be smaller than any of the other decimals. 76.124 will be less than 76.3,
since the 1 in the tenths place is less than the 3. 76.3 and 76.33 are equal through
the tenths place; a 0 understood to be in the hundredths place (i.e., 76.30) is less
than the 3 in 76.33.
Round the following to the place value indicated:
4. 429,207; nearest ten thousand
The first 2 is the ten-thousands place. Next to it is a 9, so we round up by
adding 1 to the 2, making 3, and replacing all the digits beginning with
the 9 with zeros. The rounded number is 430,000.
5. 0.02847; nearest hundredth
The hundredth place is held by the 2. The 8 next to it says that we round up.
Add 1 to the 2 and drop the decimal places to the right. Therefore, the
rounded number is 0.03.
6. 82.152; nearest whole number
The nearest whole number is to the ones place. The digit in the tenths place
is 1, so we round down. Leave the 2 in the ones place alone and drop all the
decimal digits. The rounded number is 82.
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Name___________________ DSPM 0700 HOMEWORK (ASSIGNMENT 1, SECTION 1-1) Show the following fractions as decimals:

0.84 (Two decimal places)

0.0022 (Four decimal places; need leading zeros for remaining places)

  1. Sort the following numbers in order from smallest to largest: 76.3, 76.33, 75.9, 76, 76.124. 75.9, 76, 76.124, 76.3, 76. 75 is the smallest whole number part, so 75.9 is the smallest number. 76 is assumed to have the decimal point to the extreme right (i.e., 76. or 76.0) and it would be smaller than any of the other decimals. 76.124 will be less than 76.3, since the 1 in the tenths place is less than the 3. 76.3 and 76.33 are equal through the tenths place; a 0 understood to be in the hundredths place (i.e., 76.30) is less than the 3 in 76.33. Round the following to the place value indicated:
  2. 429,207; nearest ten thousand The first 2 is the ten-thousands place. Next to it is a 9, so we round up by adding 1 to the 2, making 3, and replacing all the digits beginning with the 9 with zeros. The rounded number is 430,000.
  3. 0.02847; nearest hundredth The hundredth place is held by the 2. The 8 next to it says that we round up. Add 1 to the 2 and drop the decimal places to the right. Therefore, the rounded number is 0.03.
  4. 82.152; nearest whole number The nearest whole number is to the ones place. The digit in the tenths place is 1, so we round down. Leave the 2 in the ones place alone and drop all the decimal digits. The rounded number is 82.

Note: For the following problems, you are expected to show your computations BY HAND. This is to show that you are able to do this without a calculator. Please note the accuracy of rounding.

  1. Estimate the sum by rounding to hundreds. Then add the numbers and check by adding the numbers in reverse order: 15, 602^ ^ 3, 704^ ^80 5, Estimate Actual Check 15, 600 3, 700 100 5, 600 25, 000

The actual sum should be close to the estimate. The check should give the same sum as the actual total. If either of these is not true, check your addition.

  1. A student spent the following amounts on books: Spanish text, $64.95; math text, $82.80; English text, $70.00; engineering text, $103.95. Estimate the total spent by rounding the amounts to the nearest dollar. Then add the amounts and check by adding the numbers in reverse order. Be sure to line up the decimal points when adding decimals. Estimate Actual Check $ 65 83 70 104 $

The total the student spent was $ 321..

  1. On a road trip, Joe traveled 476 miles on the first day. If the trip is 1349 miles, find out the remaining distance, first by estimating by rounding to the nearest hundred miles, then doing the actual subtraction and finally checking by addition. Estimate Actual Check 1, 500 800

The difference added to the number subtracted should give the first number.

0.271 (Total of 5 decimal 0.32 places--a zero 542 needs to be 8130 added)

  1. Electrical switches cost $5.70 wholesale. If the retail price is $7.99 each, how much would an electrician save over retail by buying 12 switches at the wholesale price? Choose either of two solutions: Compute the total retail and the total wholesale, then subtract: $ 7. 12 1598 7990 $95.

Compute the amount of retail over wholesale per switch and compute the total savings: $7.

$2.

The electrician would save $ 27.48 by buying wholesale.

  1. Divide 8,512^ ^28 and check by multiplication. If there is a remainder, include it in the answer. Actual Check 304 28 8, 8 4 112 112 0

To check a division problem, multiply the quotient by the divisor. If there is a remainder, add it to this product. The result should be the dividend. Divide the following: When dividing decimals, change the divisor by moving the decimal point to the right of the divisor. Then move the decimal point in the dividend the same number of places. If necessary, add zeros to the dividend.

  1. 11.52^ 4. Change to

Change to

6 4800 (Add two zeros) 48 0

  1. If 12 lathes cost $6,895, find the cost of each lathe to the nearest dollar. 574 12 6,895 (Remainder of 7 is more than halfway to 12) 6 0 89 84 55 48 7 Each lathe costs $ 575.