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e Determine whether the set {0, 13,  13} satisfies closure property with respective to multiplication. e

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e Name the property illustrated by: (7x)(17x) = 1 e

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e Simplify: ( 5  +   13    4 ) (5 12     13 ) (4 7  12   4 ) ^{3} e

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DDD A cloth stores offers "25% off the sale price". A dress whose original price is $100 has a sales price that was 20% less than the original price. Then what percentage of the original price is the final price? DDD

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DDD A tradesman bought an article for $300. He wants a gain of 20% by allowing 5% discount on it. What price should the tradesman mark on the article? DDD

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DDD Name the subset(s) of the real numbers to which ' 11' belongs. DDD

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DDD Use the symbol < or > or =, to show the relationship between  6,  49 DDD

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DDD Name the property of the statement:  8 + 8 = 0 DDD

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DDD Simplify:  7  9 ^{3} +   2 + 4 ^{4} +  2  8 ^{3} DDD

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DDD Name the property illustrated. (2l + 9)(10 + 9l) =(2l + 9).(10) + (2l + 9).(9l) DDD

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DDD Determine whether the following statement is true. If a.h = b.h and h is nonzero, then a = b. DDD

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DDD Simplify:  14  4 10 +  12  15 10   15 + 12 8 DDD

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DDD Determine whether the statement  a + y  =  a  +  y  is true or false. DDD

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DDD Determine whether the following is true. If y, b, a are real numbers, and if y = b then y + a = b + a. DDD

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DDD Find the property illustrated by the relation:  2.3l  +  9k  =  9k  +  2.3l  DDD

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DDD Determine whether the statement  u  +  p  ≥  u + p  is true or false. DDD

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DDD Determine whether the following statement is true. If v, k, z are real numbers, then v (k  z) = vk  vz. DDD

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DDD Which of the following is the absolute value of  3 + 5 ? DDD

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DDD On a particular day the temperature at sea level at a place was measured as 175° F. What would be the temperature at an altitude of 35000 feet if the temperature decreases about 5° F for every 1000 feet of altitude. DDD

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DDD The subtraction expression   92     79  can also be written as, DDD

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DDD What is the value of the expression? 91 + ( 58) + ( 95) DDD

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DDD Find the multiplicative inverse of (9 + 89). DDD

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DDD Name the property of the statement: 11 · (8 · 3) = (11 · 8) · 3 DDD

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DDD If a scooter travels 136 km on 4 liters of petrol, how many kilometers will it travel on 11 liters of petrol? DDD

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DDD Perform the given operation: 5.82 yards($1617 yards) DDD

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DDD The length of a wire is 1251 feet. Write the length of the wire in inches. DDD

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DDD The following are the temperatures at various places:  40° F,  34° F,  44° F, order the temperatures from highest to lowest. DDD

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DDD Use the symbol < or > or =, to show the relationship between  26, 26 DDD

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DDD Find the sum in clock arithmetic: 9 + 4 (on a 12hour clock.) DDD

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DDD Use the symbol < or > or =, to show the relationship between 48, 7 DDD

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DDD Perform the given operation: 136 feet4 seconds × 384 seconds3 hours× 9 miles1224 feet DDD

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DDD Find the sum in clock arithmetic: 2 + 1 (on a 12hour clock.) DDD

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DDD Which of the following is an equivalent expression for (3 + 3) + 7? DDD

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DDD Which property is illustrated in the expression? 5.5 × (7.7 × 27.9) = (5.5 × 7.7) × 27.9 DDD

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DDD Which of the following expressions is equivalent to 10 + (( 10) + 55)? DDD

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DDD What is the value of z, if the equation q × r × u = u × z illustrates the commutative property of multiplication? DDD

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DDD Which of the following is correct ?
I. 7 × 17 = 17 × 7 illustrates the associative property of addition. II. 7 × (17 × 62) = (7 × 17) × 62 illustrates the associative property of multiplication. III. 7 × (17 × 62) × 0 = 0 illustrates the associative property of addition. DDD

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DDD Which property does "4 · 7 = 47 ∈ {real numbers}" illustrate? DDD

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DDD Write a comparison statement using <, =, or > . 0 __  0.438 DDD

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DDD Determine whether the following is true or false: 37.043 > 37.0043 DDD

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DDD True or False? 0.25255227562...∈ {irrational numbers} DDD

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DDD Name the subset(s) of the real numbers to which 72 belongs. DDD

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DDD Name the subset(s) of the real numbers to which 0.777777.... belongs. DDD

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DDD Write 0.201¯ as a quotient of two integers. DDD

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DDD True or False? 7.373737............∈ {irrational numbers} DDD

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DDD Determine whether the following true or false. 12∈ {real numbers} DDD

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DDD List the numbers in order from least to greatest  0.017,  0.0017,  0.17,  17. DDD

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DDD List the numbers in order from least to greatest 6, 5, 4, 18. DDD

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DDD List the numbers in order from least to greatest 534, 5116, 513, 5748 DDD

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DDD Write the repeating decimal 0.43629¯ as a ratio of two integers. DDD

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DDD Write the repeating decimal 0.707¯ as a quotient of two integers. DDD

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DDD True or false? If a < b, then a^{2} < b^{2}. DDD

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DDD Determine whether the statement is true or false. If b^{2} > y^{2}, then b > y. DDD

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DDD Determine whether the statement is true or false. If x > c, then x + z > c + z, for any real number z. DDD

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DDD Determine whether the statement is true or false. If b^{2} = x^{2}, then b =x. DDD

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DDD Use a real number to represent 90 meters below sea level. DDD

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DDD Use a real number to represent a debit of $2900. DDD

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DDD Identify whether 224 is a rational or an irrational number. DDD

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DDD Identify whether 258 is a rational or an irrational number. DDD

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DDD The length of a wire is 1474 feet. Write the length of the wire in inches. DDD

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DDD The length of river Nile is 6670 kilo meters. Express its length in miles. DDD

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DDD On a particular day the temperature at sea level at a place was measured as 64° F. What would be the temperature at an altitude of 16000 feet if the temperature decreases about 4° F for every 1000 feet of altitude. DDD

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DDD Determine if the set of natural numbers and the operation of multiplication form a field. DDD

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DDD Find the property illustrated by the relation: 10.6(pw) = (10.6p)w. DDD

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DDD Name the property illustrated by: (11x)(111x) = 1 DDD

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DDD Which property does ( 8) + [ ( 8)] = 0 illustrate? DDD

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DDD What number (on a 12hour clock) in clock arithmetic serves as the additive identity? DDD

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DDD Simplify:  9  +   35  +  44  +   32  DDD

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DDD Perform the given operation: 4.99 yards($333 yards) DDD

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DDD Determine whether the product of an irrational number and a positive integer other than '0' will be an irrational number. DDD

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DDD Write a comparison statement using <, =, or > . 0 __  0.354 DDD

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DDD Determine whether the following true or false. 20∈ {real numbers} DDD

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DDD Simplify:  13  4 9 +  11  14 9   14 + 11 6 DDD

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DDD Determine whether the statement  z + a  =  z  +  a  is true or false. DDD

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DDD Determine whether the statement  k  +  w  ≥  k + w  is true or false. DDD

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DDD Determine whether the statement  x    y  ≤  x  y  is true or false. DDD

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DDD Simplify:  14  16 ^{4} +   4 + 11 ^{4} +  7  15 ^{4} DDD

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DDD Find the property illustrated by the relation: 6.4(py) = (6.4p)y. DDD

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DDD Name the property illustrated by: (12c)(112c) = 1 DDD

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DDD Which of the following properties do not hold for the set of whole numbers? DDD

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DDD The subtraction expression   84     72  can also be written as, DDD

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DDD What is the value of the expression? 76 + ( 98) + ( 85) DDD

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DDD Which of the following is the absolute value of  2 + 6 ? DDD

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DDD Determine whether the following is true. If b, z, a are real numbers, and if b = z then b + a = z + a. DDD

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DDD Find the property illustrated by the relation:  2.5w  +  4t  =  4t  +  2.5w  DDD

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DDD Name the property illustrated. (2u + 7)(8 + 5u) =(2u + 7).(8) + (2u + 7).(5u) DDD

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DDD Determine whether the following statement is true. If g.d = i.d and d is nonzero, then g = i. DDD

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DDD Which one of the statements satisfies transitive property? DDD

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DDD Find the multiplicative inverse of (8 + 78). DDD

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DDD Find the opposite and the absolute value of  34. DDD

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DDD Determine whether the following statement is true. If x = b  a then x + a = b; a, b are real numbers. DDD

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DDD Determine whether the following statement is true. If s, l, r are real numbers, then s (l  r) = sl  sr. DDD

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DDD Determine which one of the sets does not satisfy closure property of addition. DDD

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DDD Find the sum in clock arithmetic: 9 + 8 (on a 12hour clock.) DDD

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DDD Find the sum in clock arithmetic: 6 + 3 (on a 12hour clock.) DDD

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DDD If a scooter travels 64 km on 2 liters of petrol, how many kilometers will it travel on 4 liters of petrol? DDD

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DDD Use the symbol < or > or =, to show the relationship between  7,  64 DDD

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DDD Name the property of the statement:  11 + 11 = 0 DDD

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DDD The following are the temperatures at various places:  41° F,  35° F,  48° F, order the temperatures from highest to lowest. DDD

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DDD Which of the expressions does not illustrate the identity property of addition? DDD

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DDD Which of the following equation represents identity property of multiplication? DDD

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DDD What is the value of k, if the equation l × v × n = n × k illustrates the commutative property of multiplication? DDD

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DDD Which of the following expressions represents the commutative property of addition? DDD

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DDD Which of the following is an equivalent expression for (2 + 3) + 6? DDD

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DDD Which property is illustrated in the expression? 3.3 × (6.6 × 33.7) = (3.3 × 6.6) × 33.7 DDD

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DDD Name the property of statement: 30 + 0 = 30 DDD

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DDD Name the property of the statement: 14 · (10 · 6) = (14 · 10) · 6 DDD

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DDD Determine whether the associative property satisfied under the division operation. DDD

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DDD Determine whether the set of negative integers is closed under addition. DDD

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DDD Which of the following expressions illustrates the commutative property of addition? DDD

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DDD What is the number that should be added to a number so that the sum is the number itself? DDD

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DDD Which of the following expressions is equivalent to 12 + (( 11) + 98)? DDD

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DDD Which of the following is correct ?
I. 6 × 16 = 16 × 6 illustrates the associative property of addition. II. 6 × (16 × 59) = (6 × 16) × 59 illustrates the associative property of multiplication. III. 6 × (16 × 59) × 0 = 0 illustrates the associative property of addition. DDD

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DDD Determine whether the set of irrational numbers is closed under addition. DDD

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DDD Determine whether the set of irrational numbers is closed under multiplication. DDD

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DDD Determine whether the set of whole numbers is closed under multiplication. DDD

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DDD Use the symbol < or > or =, to show the relationship between  11, 11 DDD

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DDD Use the symbol < or > or =, to show the relationship between 63, 8 DDD

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DDD Write the numbers in increasing order:  13, 1,  94,  2 DDD

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DDD Write the numbers in increasing order: 0.5, 10,  2.1,  6 DDD

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DDD Determine whether the statement is true for all real numbers a, b and c: (a  b)  c = a  (b  c) DDD

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DDD Which property does "6 · 7 = 67 ∈ {real numbers}" illustrate? DDD

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DDD The record of low temperatures for six states are given below, find which states have record of low temperatures below  45° F?States  Temperatures  Michigan   34° F  New Mexico   46° F  New York   32° F  North Carolina   52° F  Pennsylvania   44° F  Virginia   50° F  DDD

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DDD Perform the given operation: 52 feet4 seconds × 608 seconds4 hours× 9 miles468 feet DDD

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DDD ICCC stands for International Credit Card Code which is a 12digit number. The twelth digit of an ICCC is called its prime digit. The prime digit of an ICCC can be obtained by performing the following operations on the first eleven digits. (i). Add the digits in the odd positions and multiply by 3. (ii). Add the digits in the even positions. (iii). Add the results of first two steps. (iv). Subtract the total sum from the next highest multiple of 10. Determine the prime digit of an ICCC whose first eleven digits are 01522514658. DDD

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DDD True or False? 4.595959............∈ {irrational numbers} DDD

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DDD Determine whether the following is true or false: 22.042 > 22.0042 DDD

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DDD Determine whether the following is true or false: If a number is rational, then it is an integer. DDD

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DDD True or False? 0.464664410694...∈ {irrational numbers} DDD

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DDD Name the subset(s) of the real numbers to which 511 belongs. DDD

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DDD Name the subset(s) of the real numbers to which 0.666666.... belongs. DDD

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DDD Name the subset(s) of the real numbers to which ' 27' belongs. DDD

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DDD Name the subset(s) of the real numbers to which "π" belongs. DDD

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DDD Give the coordinate that indicates the approximate location of point A. DDD

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DDD Give the coordinate that indicates the approximate location of point A. DDD

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DDD List the numbers in order from least to greatest  0.015,  0.0015,  0.15,  15. DDD

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DDD True or False?The difference of two whole numbers is a whole number. DDD

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DDD Determine whether the statement is true or false. The product of two irrational numbers is an irrational number. DDD

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DDD True or False? The product of two irrational numbers is a rational number. DDD

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DDD Determine whether the statement is true or false. The sum of two irrational numbers is an irrational number. DDD

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DDD Use a real number to represent 85 meters below sea level. DDD

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DDD Use a real number to represent a debit of $1900. DDD

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DDD Write 0.165¯ as a quotient of two integers. DDD

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DDD Identify whether 368 is a rational or an irrational number. DDD

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DDD Identify whether 224 is a rational or an irrational number. DDD

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DDD Use a real number to represent a credit of $6000. DDD

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DDD List the numbers in order from least to greatest 8, 6, 5, 26. DDD

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DDD Identify whether 10064 is a rational or an irrational number. DDD

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DDD List the numbers in order from least to greatest 345, 3125, 314, 39100 DDD

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DDD Write the repeating decimal 0.23424¯ as a ratio of two integers. DDD

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DDD Write the repeating decimal 0.794¯ as a quotient of two integers. DDD

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DDD Find the property illustrated by the relation. 2.3q + 7r = 7r + 2.3q DDD

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f Determine whether the statement is true or false. If y^{2} > c^{2}, then y > c. f

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f Name the property illustrated. (5m + 2)(3 + 3m) = (5m + 2).(3) + (5m + 2).(3m). f

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f Determine whether the statement is true or false. If a > x, then a + z > x + z, for any real number z. f

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f Determine whether the statement is true or false. If c^{2} = a^{2}, then c =a. f

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f What is the value of r, if the equation w × p × x = x × r illustrates the commutative property of multiplication? f

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f Write a comparison statement using <, =, or > : 63 __ 63 f

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f Write a comparison statement using <, =, or >. 47 __ 99 f

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f Find the property illustrated by the relation: 3.6p + 9s = 9s + 3.6p f

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f Find the property illustrated by the relation: 5.8x + 13z = 13z + 5.8x f

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f Find the property illustrated by the relation: 2.5a + 6a = 6a + 2.5a f

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f Determine whether the following statement is true or false. "If t^{2} = w^{2}, then t = w." f

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f Find the property illustrated by the relation: 2.6a + 10a = 10a + 2.6a f

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f Find the property illustrated by the relation. 5.6r + 13r = 13r + 5.6r f

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f Find the property illustrated by the relation. 3.6s + 6s = 6s + 3.6s f

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f Find the property illustrated by the relation: 5.8b + 14b = 14b + 5.8b f

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f Find the property illustrated by the relation: 3.5s + 11s = 11s + 3.5s f

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f Find the property illustrated by the relation: 2.6b + 4b = 4b + 2.6b f

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f Find the property illustrated by the relation. 4.5r + 6r = 6r + 4.5r f

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f Find the property illustrated by the relation: 3.7s + 8s = 8s + 3.7s f

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f Find the property illustrated by the relation: 3.6s + 8s = 8s + 3.6s f

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f Which property does ( 13) + [ ( 13)] = 0 illustrate? f

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f Find the property illustrated by the relation: 7.2(xt) = (7.2x)t. f

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