Download Integrated Math Worksheet - Merrillville Community School

Integrated Math Worksheet
Name ______________________________
Period___________
Part 1 Rounding off
When performing calculations, answers frequently come out uneven, with many
decimal places. You will be expected to round off numbers to one or two decimal places,
depending on the directions given and the measurements you have obtained. Generally, you
will not use fractions in this course.
97.268 > 97.3 (1 place)
Round off the following numbers to
139.428 > 139.43 (2 places)
Round off the following numbers to
the nearest tenth.
the nearest hundredth.
1. 10.76
_________
7. 10.768
2. 1369.07
_________
8. 1369.074 ________
3. 0.134
_________
9. 0.134
________
4. 1.549
_________
10. 1.549
________
5. 0.09
_________
11. 0.096
________
6. 10.02
_________
12. 2.349
________
Part 2 Division
________
The mathematical procedure of division can be written many ways. For example, the
problem of 4 divided by 5 can be written any of the following ways:
A. 4÷5
B. 4 ∕ 5
C. 4
D. 5 4
5
When performing division on a calculator, the keystrokes should follow the method in
example A above.
Solve the following division problems rounding all answers to the nearest tenth.
13. 75 ∕ 107
14. 36÷7
15. 20
65
16. 10000
77000
Part 3 Solving equations
The equation A = B/C consists of three variables. Given a value for any two of the
variables, you should be able to solve for the value of the third. For example, if B = 6 and C
= 2, then you would calculate A = 3. Or is A = 12 and C = 2, then you would calculate that
B = 24.
Solve the following problems using algebra rounding all answers to the nearest hundredth.
17. 9 = x-1
18. 7x = 35
19. -5 + x = 2
20. x / 4 = 4
21. 2 + x = 7
22. x – 7 = -7
23. x + 9 = 3
24. x – 9 = -9
25. x + 5 = 16
26. 5 + x =13
27. 6x + 7 = 61
28. -5x – 9 = -59
29. 3x + 4 = 7
30. 4x + 3 = 7
31. 4x – 2 = 26
32. -7x + 9 = -12
33. 3x + 5 = 14
34. -3x + 7 = 16
35. 2x + 8 = 12
36. 5 – 5x = -40
37. Velociraptors has a footprint length of 0.2 meters. Calculate the hip height using the
equation hip height (H) = 4.5 x footprint length (FL)
38. Using the previous equation, a person measures their hip height as 0.85 meters,
what it their footprint length?
39. A person has a footprint length of 0.23 meters, what is their hip height?
Part 4 Rearranging equations
Rearrange the following to solve for the different variables that are asked for. For example a
x b = c can be rearranged to solve for both b and c. If solving for b, you would divide both
sided by “a”, leaving you with b = c/a. If solving for a, you would divide both sides by “b”,
leaving you with a = c/b.
40. gh=x, solve for h.
41. a – 5 = d, solve for a.
42. y + 9 = w, solve for y.
43. efg = h, solve for f.
44. v/d = m, solve for d.
45. v/d = m, solve for v.
46. ab/2=c, solve for a.
Part 5 Density
Objects have their own unique properties. Use the equation
density(d)=mass(m)/volume(v). Remember volume for a rectangular object can be
calculated by multiplying length times width times height. If you are finding the volume of an
irregular object you a find it using a graduated cylinder by subtracting final volume minus
initial volume.
47. Tell what the equation would look like if you are solving for the following variables.
d=
m=
v=
48. A pine block is pictured below. The mass of the block is 11.31 grams. What is the
density of this block? List the steps you would use the find the density and solve the
problem showing the work. Make sure you use the correct units.
2.3 cm
3.6 cm
3.4 cm
49. The density of gold is 19.32 g/cm3. You have found a nugget and have calculated
the mass at 39 grams and the volume of as 3.2 cm3. Is this nugget gold? How
would you solve the problem?
50. Bromine is a reddish brown liquid. Calculate the density of Bromine that has a mass
of 586 grams and it occupies 188 mL. (1 cm3 = 1 mL)
Part 5 Scientific notation
Scientific notation provides a place to hold the zeroes that come after a whole number or before a
fraction. The number 100,000,000 for example, takes up a lot of room and takes time to write out, while
108 is much more efficient.
Though we think of zero as having no value, zeroes can make a number much bigger or smaller. Think
about the difference between 10 dollars and 100 dollars. Even one zero can make a big difference in the
value of the number. In the same way, 0.1 (one-tenth) of the US military budget is much more than 0.01
(one-hundredth) of the budget.
The small number to the right of the 10 in scientific notation is called the exponent. Note that a negative
exponent indicates that the number is a fraction (less than one).
The line below shows the equivalent values of decimal notation (the way we write numbers usually, like
"1,000 dollars") and scientific notation (103 dollars). For numbers smaller than one, the fraction is given as
well.
smaller
Fraction
1/1000
bigger
1/100
1/10
Decimal notation
0.001
0.01
0.1
1
10
100
1,000
____________________________________________________________________________
Scientific notation
10-3
10-2
10-1
100
101
102
103
Practice with Scientific Notation
Write out the decimal equivalent (regular form) of the following numbers that are in
scientific notation.
Section A:
Model: 101 =
10
51) 102 = _______________
54) 10-2 = _________________
52) 104 = _______________
55) 10-5 = _________________
53) 107 = _______________
56) 100 = __________________
Section B:
Model: 2 x 102 =
200
57) 3 x 102 = _________________
60) 6 x 10-3 = ________________
58) 7 x 104 = _________________
61) 900 x 10-2 = ______________
59) 2.4 x 103 = _______________
62) 4 x 10-6
= _________________
Section C: Now convert from decimal form into scientific notation.
Model: 1,000 = 103
63) 10 = _____________________
66) 0.1 = _____________________
64) 100 = _____________________
67) 0.0001 = __________________
65) 100,000,000 = _______________
68) 1 = _______________________
Section D: Model: 2,000 = 2 x 103
69) 400 = ____________________
72) 0.005 = ____________________
70) 60,000 = __________________
73) 0.0034 = __________________
71) 750,000 = _________________
74) 0.06457 = _________________