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Middle School Math
Math
Decimals

 

Name _____________________________
Date ___________________
Decimals
Compare. Write <, >, or =.
1.  
3.16520  _______  3.9958
2.  
7.1  _______  7.80
3.  
5.70  _______  5.74
4.  
1.4762650  _______  1.47690
5.  
10.9147  _______  10.4791
6.  
9.820  _______  9.8200
7.   * This is a pre-made sheet.
Use the link at the top of the page for a printable page.
8.  
0.0000019  _______  0.00006

Compare. Write <, >, or =.
9.  
-12.25740  _______  12.4275
10.  
-1.21  _______  -1.1
11.  
-9.91  _______  -9.91
12.  
-0.10165  _______  -0.106550
13.  
-4.52670  _______  -4.11700
14.  
-7.23  _______  -7.10
15.  
6.72  _______  -6.72
16.  
-10.19  _______  -10.370

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

Add or subtract.
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.   0.0000000083
30.   0.00000993
31.   43,900,000,000
32.   797,000
33.   5,000,000,000
34.   0.000000079
35.   0.000000000003
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?






 


Answer Key


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Middle School Math
Math
Decimals