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nature of mathematics

Questions and Answers of Nature Of Mathematics

Perform the indicated operations in Problems 43–48. DD
Perform the indicated operations in Problems 43–48. '' P
IWhat is the largest number that begins with the Roman numeral symbol in Problems 49–54?
VWhat is the largest number that begins with the Roman numeral symbol in Problems 49–54?
XWhat is the largest number that begins with the Roman numeral symbol in Problems 49–54?
LWhat is the largest number that begins with the Roman numeral symbol in Problems 49–54?
CWhat is the largest number that begins with the Roman numeral symbol in Problems 49–54?
MWhat is the largest number that begins with the Roman numeral symbol in Problems 49–54?
In Example 3c, we wrote 1,999 as MCMXCIX, which according to the National Institute of Standards and Technology, is the preferred representation. Which of the following does not also represent
a. What is the largest number that uses each of the seven Roman numerals exactly once?b. What is the smallest number that uses each of the seven Roman numerals exactly once?
The Fields Medal (discussed in this section) has a Roman numeral misprint. The date is written in Roman numerals: MCNXXXIII. Translate this number into decimal numerals.
The Mayan numeration system had multiple symbols for zero.Do some research to find more than one representation for the Mayan zero symbol. I only had enough go up to 2012. Calderd DO LET FR room to
The Yale tablet from the Babylonian collection, written between 1900 b.c. and 1600 b.c., contains the following algebra problem:The length of a rectangle exceeds the width by 7, and the area is 60.
Answer the following question from the Yale tabletThe length of a rectangle exceeds the width by 10 and the area is 600. What are the dimensions of the rectangle?Give your answer using Babylonian
What does 134 mean?
Write 52,613 in expanded form.
Write 4 × 108 + 9 × 107 + 6 × 104 + 3 × 10 + 7 in decimal form.
Write 479.352 using expanded notation.
Discuss the difference between “number” and “numeral.”
What is expanded notation?
What is an abacus, and what does it have to do with expanded notation?
Illustrate the meaning of 123 by showing the appropriate groupings.
Illustrate the meaning of 145 by showing the appropriate groupings.
Illustrate the meaning of 1,134 by showing the appropriate groupings.
Define bn for b any nonzero number and n any counting number.
Define b-n for b any nonzero number and n any counting number.
Give the meaning of the numeral 5 in each of the numbers in Problems 9–14.805
Give the meaning of the numeral 5 in each of the numbers in Problems 9–14.508
Give the meaning of the numeral 5 in each of the numbers in Problems 9–14.0.00765
Give the meaning of the numeral 5 in each of the numbers in Problems 9–14.5 × 104
Give the meaning of the numeral 5 in each of the numbers in Problems 9–14.0.00567
Give the meaning of the numeral 5 in each of the numbers in Problems 9–14.58,000,000
Write the numbers in Problems 15–30 in decimal notation.a. 105b. 103
Write the numbers in Problems 15–30 in decimal notation.a. 106b. 104
Write the numbers in Problems 15–30 in decimal notation.a. 10-4b. 10-3
Write the numbers in Problems 15–30 in decimal notation.a. 10-2b. 10-6
Write the numbers in Problems 15–30 in decimal notation.a. 5 × 103b. 5 × 102
Write the numbers in Problems 15–30 in decimal notation.a. 8 × 10-4b. 7 × 10-3
Write the numbers in Problems 15–30 in decimal notation.a. 6 × 10-2b. 9 × 10-5
Write the numbers in Problems 15–30 in decimal notation.a. 5 × 10-6b. 2 × 10-9
Write the numbers in Problems 15–30 in decimal notation.1 × 104 + 0 × 103 + 2 × 102 + 3 × 101 + 4 × 100
Write the numbers in Problems 15–30 in decimal notation.6 × 101 + 5 × 100 + 0 × 10-1 + 8 × 10-2 + 9 × 10-3
Write the numbers in Problems 15–30 in decimal notation.5 × 105 + 2 × 104 + 1 × 103 + 6 × 102 + 5 × 101 + 8 × 100
Write the numbers in Problems 15–30 in decimal notation.6 × 107 + 4 × 103 + 1 × 100
Write the numbers in Problems 15–30 in decimal notation.7 × 106 + 4 × 103 + 1 × 100
Write the numbers in Problems 15–30 in decimal notation.6 × 109 + 2 × 10-3
Write the numbers in Problems 15–30 in decimal notation.5 × 105 + 4 × 102 + 5 × 101 + 7 × 100 + 3 × 10-1 + 4 × 10-2
Write the numbers in Problems 15–30 in decimal notation.2 × 104 + 6 × 102 + 4 × 10-1 + 7 × 10-3 + 6 × 10-4 + 9 × 10-5
Write each of the numbers in Problems 31– 42 in expanded notation.a. 741b. 728,407
Write each of the numbers in Problems 31– 42 in expanded notation.a. 0.096421b. 27.572
Write each of the numbers in Problems 31– 42 in expanded notation.a. 47.0021b. 521
Write each of the numbers in Problems 31– 42 in expanded notation.a. 6,245b. 2,305,681
Write each of the numbers in Problems 31– 42 in expanded notation.a. 428.31b. 5,245.5
Write each of the numbers in Problems 31– 42 in expanded notation.0.00000527
Write each of the numbers in Problems 31– 42 in expanded notation.100,000.001
Write each of the numbers in Problems 31– 42 in expanded notation.893.0001
Write each of the numbers in Problems 31– 42 in expanded notation.8.00005
Write each of the numbers in Problems 31– 42 in expanded notation.678,000.01
Write each of the numbers in Problems 31– 42 in expanded notation.143,912.1743
Write each of the numbers in Problems 31– 42 in expanded notation.57,285.9361
One of the oldest devices used for calculation is the abacus, as shown in Figure 4.2. Each rod names one of the positions we use in counting. Each bead on the bottom of the central bar represents one
One of the oldest devices used for calculation is the abacus, as shown in Figure 4.2. Each rod names one of the positions we use in counting. Each bead on the bottom of the central bar represents one
One of the oldest devices used for calculation is the abacus, as shown in Figure 4.2. Each rod names one of the positions we use in counting. Each bead on the bottom of the central bar represents one
One of the oldest devices used for calculation is the abacus, as shown in Figure 4.2. Each rod names one of the positions we use in counting. Each bead on the bottom of the central bar represents one
One of the oldest devices used for calculation is the abacus, as shown in Figure 4.2. Each rod names one of the positions we use in counting. Each bead on the bottom of the central bar represents one
One of the oldest devices used for calculation is the abacus, as shown in Figure 4.2. Each rod names one of the positions we use in counting. Each bead on the bottom of the central bar represents one
Sketch an abacus to show the numbers given in Problems 49–56.132
Sketch an abacus to show the numbers given in Problems 49–56.849
Sketch an abacus to show the numbers given in Problems 49–56.1,998
Sketch an abacus to show the numbers given in Problems 49–56.2,001
Sketch an abacus to show the numbers given in Problems 49–56.3,000,400
Sketch an abacus to show the numbers given in Problems 49–56.8,007,009
Can you find a pattern?0, 1, 2, 10, 11, 12, 20, 21, 22, 100, . . .
Can you find a pattern?0, 1, 2, 3, 10, 11, 12, 13, 20, 21, 22, 23, . . .
Can you find a pattern?0, 1, 2, 3, 4, 10, 11, 12, 13, 14, 20, 21, . . .
Can you find a pattern?0, 1, 2, 3, 4, 5, 10, 11, 12, 13, 14, 15, 20, . . .
Change each number to base ten.a. 1011.01twob. 1011.01fourc. 1011.01five
Convert 42 to base two.
Write 42 in:a. Base threeb. Base four
Suppose you need to purchase 1,000 name tags and can buy them by the gross (144), the dozen (12), or individually. The name tags cost $0.50 each, $4.80 per dozen, and $56.40 per gross. How should you
Explain the process of changing from base eight to base ten.
Explain the process of changing from base sixteen to base ten.
Explain the process of changing from base ten to base eight.
Explain the process of changing from base ten to base sixteen.
Count the number of people in the indicated base.a. base tenb. base fivec. base threed. base eighte. base twof. base nine
Count the number of people in the indicated base.a. Base tenb. Base fivec. Base thirteend. Base eighte. Base twof. Base twelve R
In Problems 7–16, write the numbers in expanded notation.643eight
In Problems 7–16, write the numbers in expanded notation.5387.9twelve
In Problems 7–16, write the numbers in expanded notation.110111.1001two
In Problems 7–16, write the numbers in expanded notation.5411.1023six
In Problems 7–16, write the numbers in expanded notation.64200051eight
In Problems 7–16, write the numbers in expanded notation.1021.221three
In Problems 7–16, write the numbers in expanded notation.323000.2four
In Problems 7–16, write the numbers in expanded notation.234000five
In Problems 7–16, write the numbers in expanded notation.3.40231five
In Problems 7–16, write the numbers in expanded notation.2033.1four
Change the numbers in Problems 17–30 to base ten.527eight
Change the numbers in Problems 17–30 to base ten.527twelve
Change the numbers in Problems 17–30 to base ten.25TEtwelve
Change the numbers in Problems 17–30 to base ten.1101.11two

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