Reasoning/Mathematics Knowledge
_ are statements that show certain relationships between selected variables and numbers are
not equal ( ≠ ), greater than ( > ), less than ( < ), greater than or equal to ( ≥ ), and less than or
equal to ( ≤ ) - ANS-Inequalities
_ are whole numbers - ANS-Factors
_ are whole numbers, including 0 and negative whole numbers. - ANS-Integers
_ inverse is the negative of that number. When a number is added to its _ inverse, the answer is
0. For example; 4 + -4 = 0 - ANS-Additive
_ inverse is the reciprocal of that number (one divided by that number). When a number is
multiplied by is _ inverse, the answer is 1 - ANS-Multiplicative
_ is limiting a number to fewer decimal places - ANS-Rounding
_ is measured as a line passing through the center of a circle, from a point on one side of the
circle all the way to a point on the other side of the circle. - ANS-Diameter
_ is the space a solid shape takes up, measured in cubic units. - ANS-Volume
_ lines are lines that are equidistant from each other at every point along both lines so that even
if they were infinitely long, they would never touch. - ANS-Parrallel
_ lines are lines that meet to form a right angle (90') - ANS-Perpendicular
_ numbers are whole numbers that have square roots that are decimals that go on forever and
have no pattern that repeats. - ANS-Irrational
_ property is that regrouping numbers being added or multiplied will NOT affect the sum. -
ANS-Associative
_ property is that reversing the order of addition or multiplication will NOT affect the sum. -
ANS-Communative
(a x b) x c = a x (b x c)
is known as the _ _ for _ - ANS-Associative Law for Multiplication
(a+b) + c = a + (b+c)
is known as the _ _ for _ - ANS-Associative Law for Addition
0, and, when added to any number will result in that number is known as _ identity. Example;
7+0=0. - ANS-Additive
0' C =
_' Fahrenheit
and the _ point of water - ANS-32' F
Freezing
1 Acre =
_ ft^2
_ mi^2 - ANS-43,560 ft^2
0.00156 mi^2
,1 Acre = _ Hectacres - ANS-0.4 hectacres
1 Byte = _ bits - ANS-8 bits
1 century =
_ years
_ decades - ANS-100 years
10 decades
1 dozen = - ANS-12
1 ft = _ in. - ANS-12 in
1 gal = _ L - ANS-3.8 L
1 Hectacre = _ acres - ANS-2.47 acres
1 Hectare =
_ meters^2
_ km^2 - ANS-10,000 meters^2
0.01 km^2
1 in. = _ cm. ( metric equiv.) - ANS-2.54 cm
1 kilobyte = _ bytes - ANS-1,024 Bytes
1 knot = _ mph - ANS-1.15 mph
1 leap year = _ days - ANS-366 days
1 Liter ( in smaller metric equivalents )
= ? mL
= ? cL
= ? dL - ANS-1,000 mL
100 cL
10 dL
1 Liter = _ quarts - ANS-1.06 qt.
1 m. = _ in. - ANS-39.37 in
1 meter =
_ mm
_ cm
_ dm - ANS-1,000 mm
100 cm
10 dm
1 mi. =
_ ft
_ yards - ANS-5,280 ft
1,760 yards
1 mi. =
_ km
_ meters - ANS-1.609 km
1,609 meters
1 Qt = _ L - ANS-9.5 L
1 ton = _ lbs - ANS-2,000
1 yard =
_ ft
, _ in. - ANS-3 ft
36 in.
1 year =
_ months
_ weeks
_ days - ANS-12 months
52 weeks
365 days
1, and when multiplied by any number, will result in that number is also known as the _ identity. -
ANS-Multiplicative
1,760 yards = _ mile - ANS-1
10 centiliters (cL) = _ Deciliter (dL) - ANS-1 dL
10 centuries = _ millennium - ANS-1 millennium
10 cm = _ decimeters (dm) - ANS-1 dm
10 decades = _ century - ANS-1 century
10 Decaliters = _ Hectoliter (hL) - ANS-10 hL
10 Deciliters (dL) = _ Liter - ANS-1 L
10 dm. = _ meter - ANS-1 m
10 Hectoliters (hL) = _ Kiloliter (kL) - ANS-1 kL
10 Liters = _ Decaliters (daL) - ANS-10 daL
10 milliliters = _ centiliter - ANS-1 cL
10 mmm = _ cm - ANS-1 cm
10 years = _ decade - ANS-1 decade
100'C =
_'F
and the _ point of water - ANS-212'F
Boiling
12 inches = _ ft - ANS-1
12 less the sum of 3 and some number - ANS-12 - (3+x)
12 months = _ year - ANS-1 year
20 - (-5) = __.
(a) -25
(b) 25
(c) 15
(d) -15 - ANS-(b) 25
Subtracting a negative number is the same as addition, so 20 - (-5) is really 20 + 5 = 25.
212'F =
_'C
and the _ point of water - ANS-100'C
Boiling
24 hours = _ day - ANS-1 day
3 feet = _ yard - ANS-1