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

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

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

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c 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? c

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c 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? c

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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c 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. c

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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c 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. c

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

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

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

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

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

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

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

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

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c 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. c

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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c Which one of the statements satisfies transitive property? c

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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c 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. c

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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fff True or false? If y < x, then y^{2} < x^{2}. fff

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

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

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

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

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

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

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

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

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

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fff 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  fff

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

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fff 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. fff

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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