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mathematics
survey of mathematics

Questions and Answers of Survey of Mathematics

Denise teaches kindergarten and is buying supplies for her class to make papier-mÃ¢chÃ© piggy banks. Each piggy bank to be made requirescups of flour. If Denise has 15
Determine whether the sequence is a Fibonacci–type sequence. If so, determine the next two terms.-1, 0, -1, -1, -2, -3, -5, . . .
The instructions for assembling a computer stand include a diagram illustrating its dimensions. Find the total height of the stand.Write an expression that will solve the problem and then evaluate
If a piece of woodft long was cut into four equal pieces, find the length of each piece. (Allow 1/8 in. for each saw cut.)
A rectangular room measures 8 ft 3 in. by 10 ft 8 in. by 9 ft 2 in. high.(a) Determine the perimeter of the room in feet. Write your answer as a mixed number.(b) Calculate the area of the floor of
Following are the instructions given on a box of oatmeal. Determine the amount of water (or milk) and oats needed to make servings by:(a) Adding the amount of each ingredient needed for 1 serving to
Find a rational number between the two numbers in each pair. Many answers are possible. 0.21 and 0.22
Find a rational number between the two numbers in each pair. Many answers are possible. 4.005 and 4.05
Find a rational number between the two numbers in each pair. Many answers are possible. - 2.176 and - 2.175
Find a rational number between the two numbers in each pair. Many answers are possible. 1.3457 and 1.34571
Find a rational number halfway between the two fractions in each pair.1/4 and 3/4
Find a rational number halfway between the two fractions in each pair.1/5 and 2/5
Find a rational number halfway between the two fractions in each pair.1/100 and 1/10
Find a rational number halfway between the two fractions in each pair.7/13 and 8/13
Consider the rational number 0.9̅.(a) Convert 0.9̅ to a quotient of integers.(b) Find a number halfway between 0.9̅ and 1 by adding the two numbers and dividing by 2.(c) Find 1/3 + 2/3 by adding
Evaluate the expression using the order of operations.23 - 32 • 6
Determine whether the statement is true or false. Modify each false statement to make it a true statement.32 is a divisor of 4.
Write an expression for the general or nth term, an, of the arithmetic sequence.1, 2, 3, 4, . . .
Write an expression for the general or nth term, an, of the sequence 3, 6, 12, 24, . . . .
The greatest common factor of any two consecutive Fibonacci numbers is 1. Show that this statement is true for the first 15 Fibonacci numbers.
Evaluate the expression. Assume x ≠ 0.(a) -5-2(b) (-5)-2
Determine whether the rational numbers are closed under the given operation.Multiplication
Determine whether the statement is true or false. Modify each false statement to make it a true statement.48 is a multiple of 8.
Determine the indicated term for the arithmetic sequence with the first term, a1, and common difference, d.Determine a14 when a1 = 1/3, d = 2/3.
Determine whether the number is rational or irrational.√5/√5
Determine the sum of the terms of the arithmetic sequence. The number of terms, n, is given.-2, -5, -8, -11, . . . , -32; n = 11
The sum of any 10 consecutive Fibonacci numbers is always divisible by 11. Select any 10 consecutive Fibonacci numbers and show that for your selection this statement is true.
Evaluate the expression.(-3) + (-4) + 9
Determine whether the rational numbers are closed under the given operation.Addition
Evaluate the expression. Assume x ≠ 0.(a) -9-2(b) (-9)-2
Evaluate the expression.12/-6
Determine whether the statement is true or false. Modify each false statement to make it a true statement.54 is divisible by 6.
Determine the indicated term for the arithmetic sequence with the first term, a1, and common difference, d.Determine a20 when a1 = 4/5, d = -1.
Determine whether the number is rational or irrational.√75/√3
Write an expression for the general or nth term, an, of the sequence -2, -6, -10, -14, . . .
Determine the indicated term for the arithmetic sequence with the first term, a1, and common difference, d.Determine a12 when a1 = 7, d = -3.
Determine whether the number is rational or irrational.0.212112111. . .
Reduce each fraction to lowest terms.20/25
Write the first five terms of the arithmetic sequence with the first term, a1, and common difference, d.a1 = -3, d = -4
Determine whether the sequence is a Fibonacci-type sequence (each term is the sum of the two preceding terms). If it is, determine the next two terms of the sequence. 1, 2, 2, 4, 8, 32, . . .
Determine whether the natural numbers are closed under the given operation.Addition
Fill in the blanks with an appropriate word, phrase, or symbol(s).The equation (2 + 3) + 4 = 2 + (3 + 4) demonstrates the __________ property of addition.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The equation 2 + 3 = 3 + 2 demonstrates the _________ property of addition.
Fill in the blanks with an appropriate word, phrase, or symbol(s).If an operation is performed on any two elements of a set and the result is always an element of the set, we say that the set
Fill in the blanks with an appropriate word, phrase, or symbol(s).The rule for subtraction indicates that to subtract b from a, __________ the additive inverse of b to a.
Fill in the blanks with an appropriate word, phrase, or symbol(s).The set of numbers {0, 1, 2, 3, 4, …} is known as the __________ numbers.
Fill in the blanks with an appropriate word, phrase, or symbol(s).A real number that cannot be written as a ratio of two integers is known as a(n) ________ number.
Write the numeral as a Hindu–Arabic numeral.ιβωπγ
Find d if ddd5 =124.
Write the Hindu€“Arabic numerals in the base 4 numeration system.Suppose colors as indicated below represent numerals in a base 4 numeration system.56 3 = 1 = 2 %3D
Convert 2017 to a numeral in the base indicated.3
Write the numeral as a Roman numeral.1914
Convert each of the following to a numeral in the base indicated.39,885 to base 16
Convert each of the following to a numeral in the base indicated.9455 to base 16
Write the Mayan numeral as a Hindu€“Arabic numeral.
Write the numeral as a Roman numeral.294
(a) Use lattice multiplication to perform the multiplication. (Be sure not to list any number greater than or equal to the base within the box.) Write the answer in the base in which the exercise is
Convert each of the following to a numeral in the base indicated.13,312 to base 12
Write the Babylonian numeral as a Hindu€“Arabic numeral.
Write the Babylonian numeral as a Hindu€“Arabic numeral.
Write the numeral as a Roman numeral.89
Write the Babylonian numeral as a Hindu€“Arabic numeral. III
Write the numeral as a Roman numeral.43
Convert each of the following to a numeral in the base indicated.9004 to base 12
Convert each of the following to a numeral in the base indicated.2921 to base 8
We solve a multiplication problem using Napier€™s rods.(a) Determine the numbers being multiplied. Each empty box contains a single digit.(b) Determine the product. INDEX 3 6. 2.
Write the Roman numeral as a Hindu–Arabic numeral.X̅C̅I̅X̅CMXCIX
Write the Roman numeral as a Hindu–Arabic numeral.̅L̅MCMXLIV
Multiply using Napier’s rods.7 x 3456
Write the numeral as a Babylonian numeral.243
Convert each of the following to a numeral in the base indicated.73 to base 3
Write the Ionic Greek numeral as a Hindu–Arabic numeral.πα
Multiply 43 x 196, using lattice multiplication.
Convert the given numeral to a numeral in base 10.B5212
Use lattice multiplication to determine the product.634 x 832
Write the Hindu–Arabic numeral in expanded form.3,765,934
Convert the given numeral to a numeral in base 10.A9112
Use lattice multiplication to determine the product.314 x 652
Perform the indicated operations.35√12105
Convert the given numeral to a numeral in base 10.50328
Use lattice multiplication to determine the product.47 x 259
Write the Hindu–Arabic numeral in expanded form.346,861
Write the Hindu–Arabic numeral in expanded form.23,468
Use lattice multiplication to determine the product.75 x 12
Convert the given numeral to a numeral in base 10.76548
Write the Hindu–Arabic numeral in expanded form.16,402
Use lattice multiplication to determine the product.9 x 509
Write the Hindu–Arabic numeral in expanded form.3769
Convert the given numeral to a numeral in the base indicated.2938 to base 16
Write the Hindu–Arabic numeral in expanded form.4387
Convert the given numeral to a numeral in the base indicated.49 to base 2
Write the Hindu–Arabic numeral in expanded form.562
Convert the given numeral to a numeral in base 10.42316
Convert the given numeral to a numeral in base 10.57316
Use lattice multiplication to determine the product.8 x 567
Use lattice multiplication to determine the product.5 x 417
Use lattice multiplication to determine the product.4 x 327
Convert the given numeral to a numeral in base 10.B9212
Write the Hindu–Arabic numeral in expanded form.712
Convert the given numeral to a numeral in base 10.7068 454

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