Basic Technical Mathematics - 1.1 Basic algebric operations

Question 1

The Pyramid of Giza was built in ~4500 years ago, ~600 years after using ________ numbers by Egyptians.

Answer 1

The Pyramid of Giza was built in ~4500 years ago, ~600 years after using decimal numbers by Egyptians.

Question 2

1800s scientists studying the nature of light led to a mathetmatic prediction in existence of _____ _____ now used in many communication types.

Answer 2

1800s scientists studying the nature of light led to a mathetmatic prediction in existence of radio waves now used in many communication types.

Question 3

In technology/science/everyday life, we use counting numbers or ________ numbers (1, 2, 3.)

Answer 3

In technology/science/everyday life, we use counting numbers or natural numbers (1, 2, 3.)

Question 4

A ________ number can be expressed as the division of an inteer a by another nonzero integer b, and can be represented by the faction a/b.

Answer 4

A rational number can be expressed as the division of an inteer a by another nonzero integer b, and can be represented by the faction a/b.

Question 5

An ____________ number cannot be written in the form of a fraction that’s the division of an integer by another integer.

Answer 5

An irrational number cannot be written in the form of a fraction that’s the division of an integer by another integer.

Question 6

5 and -19 are ________ numbers as they can be written as 5/1 and -19/1 respectively.

Answer 6

5 and -19 are rational numbers as they can be written as 5/1 and -19/1 respectively.

Question 7

5/8 and -11/3 are rational numbers as the numerators and denominators of each are _________.

Answer 7

5/8 and -11/3 are rational numbers as the numerators and denominators of each are integers.

Question 8

√2 and π are ________________ numbers.

Answer 8

√2 and π are irrational numbers.

Question 9

It’s ____________ to find 2 integers, one divided by the other, to represent these numbers.

Answer 9

It’s impossible to find 2 integers, one divided by the other, to represent these numbers.

Question 10

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____ is at times used as an approximation of π.

Answer 10

22/7 is at times used as an approximation of π.

Question 11

Any decimal with the same sequence of digits repeated forever is ________.

Answer 11

Any decimal with the same sequence of digits repeated forever is rational.

Question 12

An ________ number are the name given to the square root of a negative number.

Answer 12

An imaginary number are the name given to the square root of a negative number.

Question 13

________ numbers include both real and imaginary numbers.

Answer 13

Complex numbers include both real and imaginary numbers.

Question 14

An positive number’s absolute value is ________ and a negative number’s absolute value is the corresponding ________ number.

Answer 14

An positive number’s absolute value is itself and a negative number’s absolute value is the corresponding positive number.

E.g. 6’s absolute value = 6
-5’s absolute value = 5

Question 15

All number, except ____, has a reciprocal.

Answer 15

All number, except zero, has a reciprocal.

Question 16

the reciprocal of:
* 7 is …?
* 2/3 is …?
* -π is …?

Answer 16

the reciprocal of:
* 7 is 1/7
* 2/3 is 1/2/3
* -π is 1/-π

Question 17

In applications, numbers representing a measurement and written with units of measurement are called ________________ numbers.

Answer 17

In applications, numbers representing a measurement and written with units of measurement are called denominate numbers.

Question 18

To state definitions on numbers in general forms, we represent numbers by letters called ________ numbers.

Answer 18

To state definitions on numbers in a general forms, we represent numbers by letters called literal numbers.

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Question 19

Numbers that vary in a given problem are ____ and numbers held fixed are ____.

Answer 19

Numbers that vary in a given problem are variables and numbers held fixed are constants.