- -
Solved Examples
Click on a 'View Solution' below for other questions:
D   Determine whether the set {0, 13, - 13} satisfies closure property with respective to multiplication.   D View Solution
D   Name the property illustrated by: (7x)(17x) = 1   D View Solution
D   Simplify: | 4 | + | - 11 | + | 15 | + | - 7 |
   D
View Solution
D   What is the value of |- 12 + (- 63)|?   D View Solution
D   Name the property of statement: 11 + 0 = 11
   D
View Solution
D   Find the additive inverse of 5- 6.
   D
View Solution
D   Find the multiplicative inverse of - 1312.
   D
View Solution
D   Divide: - 180 ÷ (- 12)   D View Solution
D   Simplify: (| 5 | + | - 13 | - | 4 |) (5| 12 | - | - 13 |) (4| 7 - 12| - | 4 |) 3   D View Solution
D   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?   D View Solution
D   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?   D View Solution
D   Name the subset(s) of the real numbers to which '- 11' belongs.
   D
View Solution
D   Use the symbol < or > or =, to show the relationship between - 6, - 49   D View Solution
D   Name the property of the statement: - 8 + 8 = 0
   D
View Solution
D   Determine whether the following is true. If y, b, a are real numbers, and if y = b then y + a = b + a.
   D
View Solution
D   Find the property illustrated by the relation:
| 2.3l | + | 9k | = | 9k | + | 2.3l |
   D
View Solution
D   Determine whether the following statement is true. If v, k, z are real numbers, then v (k - z) = vk - vz.
   D
View Solution
D   Find the sum in clock arithmetic: 9 + 4 (on a 12-hour clock.)
   D
View Solution
D   Name the property illustrated.
(2l + 9)(10 + 9l) =(2l + 9).(10) + (2l + 9).(9l)
   D
View Solution
D   Simplify : 4 | - 2 | + 5 | 3 | - | - 7 |
   D
View Solution
D   Simplify: | 7 - 9 |3 + | - 2 + 4 |4 + | 2 - 8 |3
   D
View Solution
D   Determine whether the following statement is true. If a.h = b.h and h is non-zero, then a = b.
   D
View Solution
D   Find the sum in clock arithmetic: 2 + 1 (on a 12-hour clock.)
   D
View Solution
D   Divide: - 40 ÷ (8)
   D
View Solution
D   Simplify: 3 | 10 - 18 |   D View Solution
D   Simplify: |- 9| + |- 13|
   D
View Solution
D   Add - 33 and (- 58).
   D
View Solution
D   Find the multiplicative inverse of 3817.
   D
View Solution
D   Which of the following is an equivalent expression for (3 + 3) + 7?
   D
View Solution
D   Which property does "4 · 7 = 47 {real numbers}" illustrate?
   D
View Solution
D   Which property is illustrated in the expression? 5.5 × (7.7 × 27.9) = (5.5 × 7.7) × 27.9
   D
View Solution
D   Find the additive inverse of 549.
   D
View Solution
D   Which of the following expressions is equivalent to 10 + ((- 10) + 55)?
   D
View Solution
D   Simplify: | 14 - 4 |10 + | 12 - 15 |10 - | 15 + 12 |8
   D
View Solution
D   Determine whether the statement | a + y | = | a | + | y | is true or false.
   D
View Solution
D   Determine whether the statement | u | + | p | ≥ | u + p | is true or false.
   D
View Solution
D   What is the value of z, if the equation q × r × u = u × z illustrates the commutative property of multiplication?
   D
View Solution
D   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.
   D
View Solution
D   Which of the following is the absolute value of | 3 + 5 |?
   D
View Solution
D   What is the value of | - 6 | + | - 5 |?   D View Solution
D   - 8 × - 8(- 7) = ____.
   D
View Solution
D   Find the value of | 11 - 13 |.
   D
View Solution
D   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.
   D
View Solution
D   What is the value of 45 - (- 7)?   D View Solution
D   What is the value of 45 - | - 6 |?
   D
View Solution
D   What is the value of - 43 + (- 15)?
   D
View Solution
D   The subtraction expression | - 92 | - | - 79 | can also be written as,
   D
View Solution
D   What is the value of the expression? 91 + (- 58) + (- 95)
   D
View Solution
D   Find the multiplicative inverse of (9 + 89).
   D
View Solution
D   Name the property of the statement: 11 · (8 · 3) = (11 · 8) · 3
   D
View Solution
D   If a scooter travels 136 km on 4 liters of petrol, how many kilometers will it travel on 11 liters of petrol?
   D
View Solution
D   Perform the given operation: 5.82 yards($1617 yards)   D View Solution
D   The length of a wire is 1251 feet. Write the length of the wire in inches.
   D
View Solution
D   Write a comparison statement using <, =, or > .
0 __ - 0.438   D
View Solution
BBB The following are the temperatures at various places: - 40° F, - 34° F, - 44° F, order the temperatures from highest to lowest.
 BBB
View Solution
BBB Use the symbol < or > or =, to show the relationship between - 26, 26
 BBB
View Solution
BBB Use the symbol < or > or =, to show the relationship between 48, 7 BBB View Solution
BBB Perform the given operation: 136 feet4 seconds × 384 seconds3 hours× 9 miles1224 feet
 BBB
View Solution
BBB Determine whether the following is true or false:
37.043 > 37.0043
 BBB
View Solution
BBB True or False?
0.25255227562... {irrational numbers}
 BBB
View Solution
BBB Name the subset(s) of the real numbers to which 72 belongs.
 BBB
View Solution
BBB Name the subset(s) of the real numbers to which 0.777777.... belongs.
 BBB
View Solution
BBB Write 0.201¯ as a quotient of two integers. BBB View Solution
BBB True or False?
7.373737............ {irrational numbers} BBB
View Solution
BBB Determine whether the following true or false.
12 {real numbers}
 BBB
View Solution
BBB List the numbers in order from least to greatest - 0.017, - 0.0017, - 0.17, - 17.
 BBB
View Solution
BBB Write 0.26 as a quotient of two integers.
 BBB
View Solution
BBB Write 2.4 as a quotient of two integers.
 BBB
View Solution
BBB List the numbers in order from least to greatest 6, 5, 4, 18.
 BBB
View Solution
BBB List the numbers in order from least to greatest 534, 5116, 513, 5748
 BBB
View Solution
BBB Write the repeating decimal 0.43629¯ as a ratio of two integers.
 BBB
View Solution
BBB Write the repeating decimal 0.707¯ as a quotient of two integers.
 BBB
View Solution
BBB True or false? If a < b, then a2 < b2.
 BBB
View Solution
BBB Determine whether the statement is true or false.
If b2 > y2, then b > y.
 BBB
View Solution
BBB True or False? If h > i, then hc > ic.
 BBB
View Solution
BBB Determine whether the statement is true or false.
If x > c, then x + z > c + z, for any real number z. BBB
View Solution
BBB Determine whether the statement is true or false.
If b2 = x2, then b =x.
 BBB
View Solution
BBB Use a real number to represent 90 meters below sea level. BBB View Solution
BBB Use a real number to represent a debit of $2900. BBB View Solution
BBB Identify whether 224 is a rational or an irrational number.
 BBB
View Solution
BBB Identify whether 258 is a rational or an irrational number. BBB View Solution
BBB The length of a wire is 1474 feet. Write the length of the wire in inches.
 BBB
View Solution
BBB The length of river Nile is 6670 kilo meters. Express its length in miles.
 BBB
View Solution
BBB 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.
 BBB
View Solution
BBB Determine if the set of natural numbers and the operation of multiplication form a field.
 BBB
View Solution
BBB Find the property illustrated by the relation: 10.6(pw) = (10.6p)w.
 BBB
View Solution
BBB Name the property illustrated by: (11x)(111x) = 1 BBB View Solution
BBB Which property does (- 8) + [- (- 8)] = 0 illustrate? BBB View Solution
BBB What number (on a 12-hour clock) in clock arithmetic serves as the additive identity?
 BBB
View Solution
BBB Simplify: | 9 | + | - 35 | + | 44 | + | - 32 |
 BBB
View Solution
BBB What is the value of 16 - | - 9 |?
 BBB
View Solution
BBB Graph the real numbers - 2.1, 2 and 73
 BBB
View Solution
BBB Perform the given operation: 4.99 yards($333 yards) BBB View Solution
BBB Determine whether the product of an irrational number and a positive integer other than '0' will be an irrational number.
 BBB
View Solution
BBB Write a comparison statement using <, =, or > .
0 __ - 0.354 BBB
View Solution
BBB Add - 20 and (- 48).
 BBB
View Solution
BBB Determine whether the following true or false.
20 {real numbers}
 BBB
View Solution
BBB Simplify: 9 | 18 - 29 | BBB View Solution
BBB Simplify: |- 12| + |- 19|
 BBB
View Solution
BBB Divide: - 6 ÷ (2)
 BBB
View Solution
BBB Simplify : 6 | - 2 | + 11 | 9 | - | - 15 |
 BBB
View Solution
BBB Simplify: | 14 - 16 |4 + | - 4 + 11 |4 + | 7 - 15 |4
 BBB
View Solution
BBB Find the multiplicative inverse of 345.
 BBB
View Solution
BBB Find the additive inverse of 6511.
 BBB
View Solution
BBB Simplify: | 13 - 4 |9 + | 11 - 14 |9 - | 14 + 11 |6
 BBB
View Solution
BBB Determine whether the statement | z + a | = | z | + | a | is true or false.
 BBB
View Solution
BBB Determine whether the statement | k | + | w | ≥ | k + w | is true or false.
 BBB
View Solution
BBB Determine whether the statement | x | - | y | ≤ | x - y | is true or false.
 BBB
View Solution
BBB Find the property illustrated by the relation: 6.4(py) = (6.4p)y.
 BBB
View Solution
BBB Name the property illustrated by: (12c)(112c) = 1
 BBB
View Solution
BBB Name the property illustrated.
0 + π = π. BBB
View Solution
BBB What is the value of - 10 + (- 20)?
 BBB
View Solution
BBB Which of the following properties do not hold for the set of whole numbers? BBB View Solution
BBB Determine whether the following is true. If b, z, a are real numbers, and if b = z then b + a = z + a.
 BBB
View Solution
BBB The subtraction expression | - 84 | - | - 72 | can also be written as,
 BBB
View Solution
BBB What is the value of the expression? 76 + (- 98) + (- 85)
 BBB
View Solution
BBB Find the value of | 2 - 4 |.
 BBB
View Solution
BBB Which of the following is the absolute value of | 2 + 6 |?
 BBB
View Solution
BBB What is the value of | - 3 | + | - 3 |? BBB View Solution
BBB - 5 × - 8(- 6) = ____.
 BBB
View Solution
BBB What is the value of |- 12 + (- 66)|? BBB View Solution
BBB What is the value of 44 - (- 9)? BBB View Solution
BBB Find the multiplicative inverse of (8 + 78).
 BBB
View Solution
BBB Find the opposite and the absolute value of - 34. BBB View Solution
BBB Find the property illustrated by the relation:
| 2.5w | + | 4t | = | 4t | + | 2.5w |
 BBB
View Solution
BBB Name the property illustrated.
(2u + 7)(8 + 5u) =(2u + 7).(8) + (2u + 7).(5u)
 BBB
View Solution
BBB Determine whether the following statement is true. If g.d = i.d and d is non-zero, then g = i.
 BBB
View Solution
BBB Which one of the statements satisfies transitive property? BBB View Solution
BBB Determine whether the following statement is true. If x = b - a then x + a = b; a, b are real numbers.
 BBB
View Solution
BBB Determine whether the following statement is true. If s, l, r are real numbers, then s (l - r) = sl - sr.
 BBB
View Solution
BBB Determine which one of the sets does not satisfy closure property of addition.
 BBB
View Solution
BBB If a scooter travels 64 km on 2 liters of petrol, how many kilometers will it travel on 4 liters of petrol?
 BBB
View Solution
BBB Find the sum in clock arithmetic: 9 + 8 (on a 12-hour clock.)
 BBB
View Solution
BBB Find the sum in clock arithmetic: 6 + 3 (on a 12-hour clock.)
 BBB
View Solution
BBB Which of the expressions does not illustrate the identity property of addition?
 BBB
View Solution
BBB Use the symbol < or > or =, to show the relationship between - 7, - 64 BBB View Solution
BBB Name the property of the statement: - 11 + 11 = 0
 BBB
View Solution
BBB The following are the temperatures at various places: - 41° F, - 35° F, - 48° F, order the temperatures from highest to lowest.
 BBB
View Solution
BBB Name the property of statement: 30 + 0 = 30
 BBB
View Solution
BBB Name the property of the statement: 14 · (10 · 6) = (14 · 10) · 6
 BBB
View Solution
BBB Which of the following equation represents identity property of multiplication?
 BBB
View Solution
BBB Determine whether the associative property satisfied under the division operation.
 BBB
View Solution
BBB What is the value of k, if the equation l × v × n = n × k illustrates the commutative property of multiplication?
 BBB
View Solution
BBB Determine whether the set of negative integers is closed under addition.
 BBB
View Solution
BBB Which of the following expressions represents the commutative property of addition? BBB View Solution
BBB Which of the following is an equivalent expression for (2 + 3) + 6?
 BBB
View Solution
BBB Which property is illustrated in the expression? 3.3 × (6.6 × 33.7) = (3.3 × 6.6) × 33.7
 BBB
View Solution
BBB What is commutative property of addition? BBB View Solution
BBB Which of the following expressions illustrates the commutative property of addition? BBB View Solution
BBB What is the number that should be added to a number so that the sum is the number itself?
 BBB
View Solution
BBB Which of the following expressions is equivalent to 12 + ((- 11) + 98)?
 BBB
View Solution
BBB Determine whether the set of irrational numbers is closed under addition.
 BBB
View Solution
BBB Determine whether the set of irrational numbers is closed under multiplication. BBB View Solution
BBB Determine whether the set of whole numbers is closed under multiplication. BBB View Solution
BBB Use the symbol < or > or =, to show the relationship between - 11, 11
 BBB
View Solution
BBB Use the symbol < or > or =, to show the relationship between 63, 8 BBB View Solution
BBB Write the numbers in increasing order: - 13, 1, - 94, - 2
 BBB
View Solution
BBB Write the numbers in increasing order: 0.5, 10, - 2.1, - 6 BBB View Solution
BBB Determine whether the statement is true for all real numbers a, b and c: (a - b) - c = a - (b - c)
 BBB
View Solution
BBB The record of low temperatures for six states are given below, find which states have record of low temperatures below - 45° F?
StatesTemperatures
Michigan- 34° F
New Mexico- 46° F
New York- 32° F
North Carolina- 52° F
Pennsylvania- 44° F
Virginia- 50° F
 BBB
View Solution
BBB Perform the given operation: 52 feet4 seconds × 608 seconds4 hours× 9 miles468 feet
 BBB
View Solution
BBB ICCC stands for International Credit Card Code which is a 12-digit 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.
 BBB
View Solution
BBB 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.
 BBB
View Solution
BBB Which property does "6 · 7 = 67 {real numbers}" illustrate?
 BBB
View Solution
BBB True or False?
4.595959............ {irrational numbers} BBB
View Solution
BBB Determine whether the following is true or false:
22.042 > 22.0042
 BBB
View Solution
BBB Determine whether the following is true or false:
If a number is rational, then it is an integer.
 BBB
View Solution
BBB True or False?
0.464664410694... {irrational numbers}
 BBB
View Solution
BBB Name the subset(s) of the real numbers to which 511 belongs.
 BBB
View Solution
BBB Name the subset(s) of the real numbers to which 0.666666.... belongs.
 BBB
View Solution
BBB Name the subset(s) of the real numbers to which '- 27' belongs.
 BBB
View Solution
BBB Name the subset(s) of the real numbers to which "π" belongs.
 BBB
View Solution
BBB Graph the number 312 BBB View Solution
BBB Give the coordinate that indicates the approximate location of point A. BBB View Solution
BBB Give the coordinate that indicates the approximate location of point A. BBB View Solution
BBB List the numbers in order from least to greatest - 0.015, - 0.0015, - 0.15, - 15.
 BBB
View Solution
BBB True or False?The difference of two whole numbers is a whole number.
 BBB
View Solution
BBB Determine whether the statement is true or false.
The product of two irrational numbers is an irrational number. BBB
View Solution
BBB True or False?
The product of two irrational numbers is a rational number. BBB
View Solution
BBB Determine whether the statement is true or false.
The sum of two irrational numbers is an irrational number.
 BBB
View Solution
BBB Use a real number to represent 85 meters below sea level. BBB View Solution
BBB Use a real number to represent a debit of $1900. BBB View Solution
BBB Write 0.165¯ as a quotient of two integers. BBB View Solution
BBB Write 0.48 as a quotient of two integers.
 BBB
View Solution
BBB Identify whether 368 is a rational or an irrational number.
 BBB
View Solution
BBB Mark point A so that AC = CB.
 BBB
View Solution
BBB Identify whether 224 is a rational or an irrational number. BBB View Solution
BBB Write 7.2 as a quotient of two integers.
 BBB
View Solution
BBB List the numbers in order from least to greatest 8, 6, 5, 26.
 BBB
View Solution
BBB List the numbers in order from least to greatest 345, 3125, 314, 39100
 BBB
View Solution
BBB Write the repeating decimal 0.23424¯ as a ratio of two integers.
 BBB
View Solution
BBB Write the repeating decimal 0.794¯ as a quotient of two integers.
 BBB
View Solution
BBB True or false? If y < x, then y2 < x2.
 BBB
View Solution
BBB Determine whether the statement is true or false.
If y2 > c2, then y > c.
 BBB
View Solution
BBB True or False? If b > e, then bd > ed.
 BBB
View Solution
BBB Determine whether the statement is true or false.
If a > x, then a + z > x + z, for any real number z. BBB
View Solution
BBB Determine whether the statement is true or false.
If c2 = a2, then c =a.
 BBB
View Solution
BBB Find the property illustrated by the relation.
|2.3q| + |7r| = |7r| + |2.3q|
 BBB
View Solution
BBB Name the property illustrated.
(5m + 2)(3 + 3m) = (5m + 2).(3) + (5m + 2).(3m).
 BBB
View Solution
BBB What is the value of r, if the equation w × p × x = x × r illustrates the commutative property of multiplication?
 BBB
View Solution
BBB Find the property illustrated by the relation:
|3.6p| + |9s| = |9s| + |3.6p| BBB
View Solution
BBB Find the property illustrated by the relation:
|5.8x| + |13z| = |13z| + |5.8x|
 BBB
View Solution
BBB Write a comparison statement using <, =, or > :
63 __ 63
 BBB
View Solution
BBB Write a comparison statement using <, =, or >.
47 __ 99
 BBB
View Solution
BBB Write 0.45¯ as a quotient of two integers. BBB View Solution
BBB Find the property illustrated by the relation:
|2.5a| + |6a| = |6a| + |2.5a|
 BBB
View Solution
BBB Find the property illustrated by the relation:
|2.6a| + |10a| = |10a| + |2.6a| BBB
View Solution
BBB Find the property illustrated by the relation.
|5.6r| + |13r| = |13r| + |5.6r|
 BBB
View Solution
BBB Find the property illustrated by the relation.
|3.6s| + |6s| = |6s| + |3.6s|
 BBB
View Solution
BBB Find the property illustrated by the relation:
|5.8b| + |14b| = |14b| + |5.8b|
 BBB
View Solution
BBB Find the property illustrated by the relation:
|3.5s| + |11s| = |11s| + |3.5s|
 BBB
View Solution
BBB Find the property illustrated by the relation:
|2.6b| + |4b| = |4b| + |2.6b| BBB
View Solution
BBB Use a real number to represent a credit of $6000.
 BBB
View Solution
BBB Identify whether 10064 is a rational or an irrational number. BBB View Solution
BBB Find the property illustrated by the relation.
|4.5r| + |6r| = |6r| + |4.5r| BBB
View Solution
BBB Find the property illustrated by the relation:
|3.7s| + |8s| = |8s| + |3.7s| BBB
View Solution
BBB Find the property illustrated by the relation:
|3.6s| + |8s| = |8s| + |3.6s|
 BBB
View Solution
BBB Determine whether the following statement is true or false.
"If t2 = w2, then t = w." BBB
View Solution
BBB Which property does (- 13) + [- (- 13)] = 0 illustrate? BBB View Solution
BBB Find the property illustrated by the relation: 7.2(xt) = (7.2x)t. BBB View Solution