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Middle School Math
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Sample - Click above to make a new math worksheet (PDF).
 Name _____________________________ Date ___________________
Decimals
Compare. Write <, >, or =.
1.
 1.3 _______ 1.12
2.
 12.9189 _______ 12.9188
 3 * This is a pre-made sheet.Use the link at the top of the page for a printable page.
4.
 9.009 _______ 9.0014
5.
 2.4 _______ 2.29
6.
 5.26 _______ 5.16
7.
 0.3136 _______ 0.6722
8.
 8.29 _______ 8.29

Compare. Write <, >, or =.
9.
 -8.96812 _______ -8.96878
10.
 -3.835 _______ -3.835
11.
 10.36 _______ -10.36
12.
 -11.3347 _______ -11.5875
13.
 -9.4 _______ -9.43
14.
 -4.25 _______ -4.1
15.
 7.1 _______ -7.1
16.
 -12.9563 _______ -12.5693

Order the decimals from least to greatest.
 17 43.53, 43.713, 43.10
 18 53.94, 53.22, 53.67
 19 70.21, 69.9, 70.26, 70.36, 70.05
 20 85.66, 85.3, 85.511, 85.5, 85.6, 85.318

Order the decimals from least to greatest.
 21 -35.9, -35.78, -35.7, -35.91
 22 -66.081, -66.00081, -66.000081, -66.0081, -66.81
 23 24.95, 24.20, 24.31
 24 75.417, 75.49, -75.1

 25 28.419  -  26.413
 26 30.09297  -  13.004723
 27 5  +  31.8
 28 27.000317309  -  18.000626492

 Key #2
 aKey #2
Rewrite the number in scientific notation.
 29 2.8e-11
 30 20,000,000,000
 31 1.28e-05
 32 920,000
 33 0.000685
 34 6,860,000,000,000
 35 3.02e-10
 36 6,710,000

Rewrite the number in decimal notation.
 37 4.63 x 10-8
 38 1.7 x 109
 39 3.8 x 10-12
 40 3.08 x 1012
 41 8 x 10-4
 42 4.51 x 108
 43 2.4 x 107
 44 2.83 x 106

Solve for the unknown.
 45 2.058 = f  -  25.612
 46 g  -  7.07173 = 12.9289439
 47 42.04623 = 24.00223  +  p
 48 29  +  j = 54.3

Multiply. Round answers to the nearest thousandths.
 49 7.13  x  5.4006
 50 1.2348  x  9.8578
 51 4.0018  x  2.007
 52 6.6532
 53 14  x  0.822
 54 7.0009  x  1.05

Complete.
 55 Cyrano de Bergerac had a prominent nose. As a matter of fact, it was so large that it was often the only thing people noticed about him. If one had to choose an adjective to describe Cyrano's nose, the best would be "tremendous!" Cyrano fell in love with a beautiful young woman, but knew she could never love someone so ugly. It's a long story, but in the end, Cyrano discovered that he was wrong. The young woman did love him. Cyrano's nose was sixteen centimeters long. 1 cm = 0.39 in. How long was Cyrano's nose in inches? Round off your answer to the nearest tenth of an inch.
 56 Christopher and his grandfather picked apples from their orchard and pressed them to make cider. While they worked, they would discuss and solve all the problems in the world. When the kettle was full, they would pour the cider into bottles that they kept in a shed built over a cool stream. When it was time to go to the market, they took some of the cider with them to sell. If each bottle held 2.1 quarts of cider, how many bottles could they fill from an 8.6-gallon kettle?

 Key #2
 aKey #2
Divide.
 57 12.4  ÷  2
 58 5.801  ÷  2
 59 10.000287  ÷  9
 60 9.13  ÷  11
 61 2.3136  ÷  8
 62 8.025  ÷  3

Divide.
 63 40.14288  ÷  8.3631
 64 76.35456  ÷  10.6048
 65 49.3  ÷  5.8
 66 23.66  ÷  9.1
 67 34.02  ÷  2.7
 68 69.44  ÷  6.2

Complete.
69.
 -2.4 - 12 + -15.4 × 6
70.
 -30 + 6.5 × 13
71.
 -16.5 + -25 × -8.1 - 41 + -43
72.
 25 - 10
73.
 -7 - 12.8 + 8.6
74.
 10 × -17

Solve.
 75 c  ÷  3 = 1.5
 76 8.6 = w  ÷  3.3
 77 12.5 = k  ÷  8.2
 78 12.5q = 200
 79 3.01 = a  ÷  3
 80 56.9607 = 10.49x
 81 d  ÷  2 = 3.762
 82 6.7 = f  ÷  6.1
 83 2.5 = w  ÷  5.46
 84 1.27 = t  ÷  9
 85 7.2 = p  ÷  2.1
 86 10.5m = 107.1

Complete.
 87 During a geological survey by Z-Globe Corporation, a particular parcel of land was found to consist of alternating layers of sand and clay. The thickness of the first clay layer was about 42.8 cm and the second one was about 70.7 cm. There was a layer of sand in between the two clay layers. If the total thickness of the three layers (clay-sand-clay) was about 179 cm, what percent of the total thickness was made up of sand? Round your answer to the nearest hundredth.
 88 A 10-kg ball of iron is put in a freezer at -55.2C for 48 hours. Then it is removed and put in an oven to undergo a mechanical test. Over the course of the test the temperature rises. At the end of the test, the temperature of the ball is 227.3C. What was the temperature change?

 Key #2
 aKey #2
Complete.
 89 Destiny is grinding a part for a spacecraft to be sent on a mission to mars. The part must be very precise. Right now it is oversized by 2.46 x 10-3 inches. If she makes two passes with the grinding machine and takes off half the required amount each time, how much will be ground off on each pass?
 90 Z-Globe is a company that does a little bit of just about everything. They are mostly known as an earth science company but they have been dabbling in nanotechnology recently as well. They are trying hard to catch up to Small World, Inc., which recently announced the fabrication of a nanocube with edges that are a mere 1.5 x 10-6 m in length. As a show of their ability to manipulate such small objects, Z-Globe recently purchased 400 of the nanocubes from Small World, and made a larger cube out of them. What was the total volume in m3 of Z-Globe's new stacked nanocube?

Order the decimals from least to greatest.
 91 47.1, 47.116, 47.410, 47.4
 92 64.114, 64.885, 64.794
 93 87.41, 87.44, 87.27, 87.6, 87.11, 87.35
 94 10.43, 10.1, 10.91, 10.96

Rewrite the number in decimal notation.
 95 5 x 109
 96 1.81 x 10-9
 97 9.72 x 105
 98 1.8 x 10-6
 99 3.8 x 107
 100 8.16 x 10-5
 101 3.3 x 1010
 102 9.91 x 104

Complete.
 103 Write two decimals to complete the division problem:_________  ÷  _________  =  4.1
 104 Write a step-by-step procedure for converting any fraction to its decimal equivalent. Don't forget to explain what to do if the result is a repeating decimal.