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Middle School Math
Math
Decimals

 Name _____________________________ Date ___________________
Decimals
Compare. Write <, >, or =.
1.
 3.1652 _______ 3.9958
2.
 7.1 _______ 7.8
3.
 5.7 _______ 5.74
4.
 1.47626 _______ 1.4769
5.
 10.9147 _______ 10.4791
6.
 9.82 _______ 9.82
 7 * This is a pre-made sheet.Use the link at the top of the page for a printable page.
8.
 1.9e-06 _______ 6e-05

Compare. Write <, >, or =.
9.
 -12.2574 _______ 12.4275
10.
 -1.21 _______ -1.1
11.
 -9.91 _______ -9.91
12.
 -0.10165 _______ -0.10655
13.
 -4.5267 _______ -4.117
14.
 -7.23 _______ -7.1
15.
 6.72 _______ -6.72
16.
 -10.19 _______ -10.37

Order the decimals from least to greatest.
 17 98.0201, 98.2001, 98.002001, 98.021, 98.00020001
 18 66.416, 66.4, 66.6, 66.62
 19 33.15, 33.36, 33.16, 33.3
 20 69.89, 69.815, 69.4

Order the decimals from least to greatest.
 21 -4.6758, -4.493, -4.2, -4.46
 22 38.53, -38.4, 38.68, 38.72
 23 -54.178, -54.556, -54.374, -54.508, -54.16
 24 64.1, 64.45, 64.4, 64.18

 25 27.243  -  18.476
 26 16.42  +  9.91
 27 28  +  18.610782
 28 13.000908  -  8.01764

 Key #2
Rewrite the number in scientific notation.
 29 8.3e-09
 30 9.93e-06
 31 43,900,000,000
 32 797,000
 33 5,000,000,000
 34 7.9e-08
 35 3e-12
 36 41,200,000

Rewrite the number in decimal notation.
 37 2.03 x 105
 38 9.5 x 10-10
 39 4 x 109
 40 3.1 x 10-6
 41 9.98 x 10-5
 42 8.56 x 108
 43 3.6 x 1010
 44 1.96 x 10-8

Solve for the unknown.
 45 18.7529  -  c = 0.7529
 46 23.039099 = f  +  12.002276
 47 16.971100601 = n  -  5.0296435
 48 h  +  23.644 = 53.183

Multiply. Round answers to the nearest thousandths.
 49 1.012
 50 9.000098  x  2.006
 51 1.03  x  3.093
 52 3.59  x  12.5437
 53 11.80  x  2.748
 54 4.564  x  10.600

Complete.
 55 Hailey bought a new E string for her bass. The string cost \$4.90 plus 7.4% sales tax. What was the total cost?
 56 According to Newton's second law of motion, the force required to accelerate an object is equal to the mass of the object times the acceleration (F = ma). If the force applied to an object is 0.0078 kg m/s2 and the acceleration is 0.13, then what is the mass of the object? You may assume that the friction is zero.

 Key #2
Divide.
 57 12.45  ÷  16
 58 9.716  ÷  8
 59 4.4787  ÷  15
 60 10.8  ÷  5
 61 8.05272  ÷  6
 62 7.381  ÷  5

Divide.
 63 65.28  ÷  6.8
 64 6.9472  ÷  2.672
 65 81.76  ÷  7.3
 66 36.5329  ÷  5.989
 67 162.56  ÷  12.8
 68 62.64  ÷  11.6

Complete.
69.
 -15.2 + ( -259.2 ÷ 32.4 × -34 + -41 ) - 35
70.
 36.4 ÷ 13
71.
 -9.9 × -12 + -24
72.
 21 + ( -12.9 + -3.6 + 22 )
73.
 346.97 ÷ -22.1 × -45
74.
 19 + 0.9 × -45 + 5.7

Solve.
 75 87.86 = 7.64q
 76 1.375 = j  ÷  6
 77 2.5 = k  ÷  2.84
 78 0.77 = s  ÷  10
 79 6d = 77.94
 80 y  ÷  7 = 1.392
 81 r  ÷  4.7 = 10.6
 82 2.268 = f  ÷  3
 83 8.842g = 52.07938
 84 a  ÷  10.1 = 6.1
 85 14.57 = 4.7c
 86 2.4 = m  ÷  9.3

Complete.
 87 In the Bigtown environmental studies lab, a technician is analyzing water from the local river. She is measuring the pesticide concentration in the water. She analyzes the sample 3 times and the pesticide concentration measurements are 0.02 mg/ml, 0.09 mg/ml and 0.09 mg/ml. What was the average of the three measurements? Round your answer to the nearest thousandth.
 88 Devin used Archimedes' method to calculate the density of a rock he found near Lake Laronde. The mass of the rock is 114 grams and it displaces 56 ml of water. What is its density? Round your answer to the nearest thousandth. (hint: density = mass / volume)

 Key #2
Complete.
 89 If there are five million yeast cells per milliliter of growth medium in an experiment, how many will there be in two days when the cell population has quadrupled and then quadrupled again? Express your answer using scientific notation.
 90 Megan has measured some yeast cells she isolated from the surface of grapes. The cells she measured were 21, 19, 13, and 11 micrometers in length. What was their average length in meters? Express your answer using scientific notation.

Order the decimals from least to greatest.
 91 -6.917, -6.488, -6.154, -6.829
 92 -72.7, 72.5, 72.2, -72.715, 72.219, -72.8, 72.84
 93 97.9, 97.6, 97.918, 97.42, 97.4, 97.110, -97.1
 94 -36.03003, -36.0030003, -36.0033, -36.033, -36.00303

Divide.
 95 3.114  ÷  2
 96 12.28  ÷  4
 97 11.8008  ÷  16
 98 7.04613  ÷  7
 99 9.1  ÷  16
 100 4.0049  ÷  4

Complete.
 101 Write two decimals to complete the division problem:_________  ÷  _________  =  14.6
 102 Why is it not necessary to line up the decimal points when multiplying two numbers?

Sample
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