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1. Surrounding all magnets is a region called the _____ _____. - ANSWER
magnetic field
2. Electricity and magnetism are closely _____. The movement of electrons
creates a magnetic field, so electric current creates a magnetic field. This
magnetic property can be used to make powerful electromagnets. You can
make an electromagnet by simply coiling wire around a thin rod made of
iron or steel (a nail will work, too). When an electric current moves through
the wire, it makes a magnetic field. The strength of the magnetic flow is
dependent on the number of times the wire is coiled around the rod, and the
value of the current is dependent on the flow through the conductor. The
strength of the electromagnet becomes greater as the number of loops of
wire around the core is increased. - ANSWER related
3. Chemical energy. - ANSWER Energy stored in bonds of atoms and
molecules is described as chemical energy. Gasoline and coal contain stored
chemical energy.
4. Electrical energy. - ANSWER Electrical energy is produced by the
movement of electrically-charged particles (electrons). The movement of
electrons through a conductor, such as a wire, is called current (or circuit)
electricity. Lightning is an example of a giant spark of static electricity, or
the sudden movement of electrons from a cloud to another surface.
5. Heat energy. - ANSWER Heat energy is created by the random movement
of molecules from a warm substance to a cool substance. Temperature,
measured in degrees, is an indication of the average kinetic energy of the
moving molecules—the speed at which they move. If the molecules in a
substance move slowly, the substance has a low temperature. If the
molecules move rapidly, the substance has a high temperature. Heat energy
is transferred in three ways.
,6. Conduction. - ANSWER Conduction is the process by which energy is
transferred through matter by collisions between particles. It is the transfer
of heat energy from atom to atom within a substance. As one molecule is
heated, it begins to vibrate. As it does, it passes some of its energy to other
molecules around it. Through this process, all the molecules of an object
pass energy from one to another, until they are all hot. This is conduction.
For example, a metal spoon in a cup of hot soup becomes warmer because
the molecular motion of the hot soup molecules is transferred, via collisions,
along the length of the spoon, to the molecules in the metal spoon.
7. Convection. - ANSWER Convection is the transfer of heat in a gas or liquid
by the circulation of currents from one region to another. In convection, the
molecules get heated and rise up; the cold molecules sink and get reheated.
Then they rise again to continue the cycle. For example, heat leaves a coffee
cup as the currents of steam and air rise. During convection, mass is
transferred from one location to another.
8. Radiation. - ANSWER Radiation is the transfer of energy by
electromagnetic waves through space. Sunlight is a form of radiation that is
radiated through space to our planet through a vacuum.
9. Nuclear energy. - ANSWER Nuclear energy is stored in the nucleus of an
atom—the energy that holds the nucleus together. Energy is released when
nuclei are combined or split apart. Einstein showed that this energy is
equivalent to mass. Nuclear power plants produce energy by splitting the
nuclei of uranium atoms through a process called nuclear fission.
10.Natural Numbers - ANSWER N = {1, 2, 3, 4, 5, 6, . . . }
11.Whole natural numbers together with zero. - ANSWER W = {0, 1, 2, 3, 4, 5,
6, . . . }
12.Every whole number has a unique opposite or negative whose sum with it is
0. For example, - ANSWER 2 + (-2) = 0
13.The set of integers consists of the whole numbers and their opposites. -
ANSWER Z = {. . ., -3, -2, -1, 0, 1, 2, 3, . . . }
14.Every nonzero integer has a unique reciprocal whose product with it is one.
For example, - ANSWER 2 × 1/2 = 1
,15.The ratio or fraction of one integer to a nonzero integer is the product of the
first integer with the reciprocal of the second. For example, the ratio of 2 to
3 is - ANSWER 2/3 = 2 × 1/3
16.Not every rational number is an integer. For example, 1/2 is a rational
number that is not an integer. - ANSWER 1/2 = 0.5
17.There are three basic properties of addition: - ANSWER commutativity,
associativity and identity.
18.Commutative property. - ANSWER when adding two numbers, the sum is
the same regardless of the order in which the numbers are added.
2+3=3+2
19.Associative property. - ANSWER When adding three or more numbers, the
sum is the same regardless of the way in which the numbers are grouped.
2 + (3 + 5) = (2 + 3) + 5
20.Identity property. - ANSWER Adding zero to a number does not change it.
2+0=2
21.There are three basic properties of multiplication: - ANSWER
commutativity, associativity and identity.
22.Distributive property. - ANSWER The product of a number with a sum
equals the sum of the products of the number with each term of the sum.
2 × (3 + 5) = (2 × 3) + (2 × 5)
23.Exponentiation - ANSWER Exponentiation is repeated multiplication. An
exponent is often called a power. For example, the third power of 2 is
2³ = 2 × 2 × 2 = 8
24.We define the zero power of any nonzero number to be 1. For example, -
ANSWER (-3)0 = 1
, 25.A negative exponent indicates a reciprocal. For example, - ANSWER 2 (-3rd
power) = (3rd power) =
26.The first power of any number is itself. For example, - ANSWER 2 (to the
1st power) = 2
27.To multiply like bases with exponents, add the exponents. For example, -
ANSWER 2 (to the 3rd) x 2 (to the 5th) = 2 (to the eighth)
28.To exponentiate a power, multiply the exponents. For example, - ANSWER
(2 to the 3rd) to the 5th = 2 to the 15th
10 to the 0 power - ANSWER 1
10 to the 1 power - ANSWER 10
10 to the -2 power - ANSWER to the 2 power or
10 to the 2 power x 10 to the 3 power - ANSWER 10 to the 5 power
29.Identifying Place Value in Numbers
2045 - ANSWER 2045 = (2 x 10 to the 3 power) + (0 x 10 to the 2 power) +
(4 x 10 to the 1 power) + 5 x 10 to the 0 power)
30.Digits to the right of a decimal point correspond to negative powers of ten.
For example,
31.23.405 - ANSWER 23.405 = (2 x 10 to the 1 power) + (3 x 10 to the 0
power) + (4 x 10 to the -1 power) + (0 x 10 to the -2 power) + (5 x 10 to the
-3 power)
32.Converting a fraction to a decimal. For example 3/8 - ANSWER 3 divided
by 8 = 0.375
33.Convert 0.45 to a fraction. - ANSWER 45/100
34.Convert 3.208 to a mixed number. - ANSWER 3 + 208/1000
35.Converting a fraction to a percentage. Convert the fraction to a decimal and
then convert the decimal to a percentage. For example,