Exercises
You can use the following problems as a self-test on the material presented in this review. If you can handle these problems, you’re ready to do all of the arithmetic in this text. If you have difficulty with any of these problems, please review the appropriate section of this prologue. You might also want to use this section as an opportunity to become more familiar with your calculator. The answers are given immediately following these exercises, along with commentary and some reminders.
Complete each of the following:
a.
b.
c.
d.
e.
f.
a.
To compute:
The given expression.
Solution:
The value of the expression
Given:
The expression is
Approach:
Multiplication:
A mathematical operation performed on a pair of numbers in order to derive a third number
called a product.
The operation of multiplying some number a by some number b may be symbolized in six
different ways:
Calculation:
The given expression is
Here, the symbol
(i.e.,)
Final statement:
Therefore, the value of the expression
b.
To compute:
The given expression.
Solution:
The value of the expression
Given:
The expression is
Approach:
Multiplication:
A mathematical operation performed on a pair of numbers in order to derive a third number
called a product.
The operation of multiplying some number a by some number b may be symbolized in six
different ways:
Calculation:
The given expression is
Here, the brackets represents multiplication. We have to multiply 17 by 3 times, we get 51.
(i.e.,)
Final statement:
Therefore, the value of the expression
c.
To compute:
The given expression.
Solution:
The value of the expression
Given:
The expression is
Approach:
Multiplication:
A mathematical operation performed on a pair of numbers in order to derive a third number
called a product.
The operation of multiplying some number a by some number b may be symbolized in six
different ways:
Calculation:
The given expression is
Here, the brackets represents multiplication. We have to multiply 17 by 3 times, we get 51.
(i.e.,)
Final statement:
Therefore, the value of the expression
d.
To compute:
The given expression.
Solution:
The value of the expression
Given:
The expression is
Approach:
Division:
The operation of division can also be expressed in several different ways as follows,
Calculation:
The given expression is
Here, the symbol “
Hence, we have to divide 17 by 3.
We get
To round off, look at the digit in
Since, the digit is greater than 5, round up it as
Thus, the value of the given expression
Final statement:
The value of the expression
e.
To compute:
The given expression.
Solution:
The value of the expression
Given:
The expression is
Approach:
Square of a number:
Square of a number is to multiply the number by itself. This operation is symbolized as
Calculation:
The given expression is
We know that,
Substitute
Hence 42 squared is
i.e.,
Final statement:
The value of the expression
f.
To compute:
The given expression.
Solution:
The value of the expression
Given:
The expression is
Approach:
Square root of a number:
The square root of a number is the value that, when multiplied by itself, results in the original number. This operation is symbolized as
Calculation:
The given expression is
Here, the symbol “
Hence, we have to find the square root of the number
We get
To round off, look at the digit in
Since, the digit is less than 5 round down it as
Thus, the value of the given expression
Final statement:
The value of the expression