Question

Find the value of:
A) \[23457 + 1\]
B) \[0 + 97\]
C) \[476 + \left( {840 + 84} \right)\]
D) \[964 - \left( {425 + 425} \right)\]
E) \[\left( {2758 + 2758} \right) - \left( {2758 + 2758} \right)\]
F) \[72450 + \left( {583 - 58} \right)\]

Answer 1

Hint:
Here, we have to find the value of the following problems of arithmetic operations. We will use the property of addition to find the values. We will also use the BODMAS rule to solve the values of the arithmetic problems. An arithmetic operation includes the operations such as addition, subtraction, multiplication and division.

Complete Step by Step Solution:
We will find the values of the following arithmetic operations.
A) \[23457 + 1\]
Now, we will add the digits at the unit’s place of the given numbers.
\[7 + 1 = 8\]
Thus by the addition of integers, we get \[23457 + 1 = 23458\]

B) \[0 + 97\]
Now, we will be using the property of additive identity.
\[0 + 97 = 97\]
Thus by the addition of integers, we get \[0 + 97 = 97\]

C) \[476 + \left( {840 + 84} \right)\]
Now, we will be using the BODMAS rule.
Adding the terms in the bracket, we get
\[476 + \left( {840 + 84} \right) = 476 + 924\]
Again adding the terms, we get
\[ \Rightarrow 476 + \left( {840 + 84} \right) = 1300\]
Thus by the addition of integers, we get \[476 + \left( {840 + 84} \right) = 1300\]

D) \[964 - \left( {425 + 425} \right)\]
Now, we will be using the BODMAS rule.
Adding the terms in the bracket, we get
\[964 - \left( {425 + 425} \right) = 964 - 850\]
Subtracting the integers, we get
\[ \Rightarrow 964 - \left( {425 + 425} \right) = 114\]

E) \[\left( {2758 + 2758} \right) - \left( {2758 + 2758} \right)\]
Now, we will be using the BODMAS rule.
Adding the terms in the bracket, we get

\[\left( {2758 + 2758} \right) - \left( {2758 + 2758} \right) = 5516 - 5516\]
Now, we will be using the property of additive inverse.
Subtracting the terms, we get
\[ \Rightarrow \left( {2758 + 2758} \right) - \left( {2758 + 2758} \right) = 0\]

F) \[72450 + \left( {583 - 58} \right)\]
Now, we will be using the BODMAS rule.
Subtracting the terms in the bracket, we get

H) \[72450 + \left( {583 - 58} \right) = 72450 + 525\]
Now, we will be adding the integers.
\[ \Rightarrow 72450 + \left( {583 - 58} \right) = 72975\]

Therefore
The value of \[23457 + 1\] is 23458.
The value of \[0 + 97\] is 97.
The value of \[476 + \left( {840 + 84} \right)\] is 1300.
The value of \[964 - \left( {425 + 425} \right)\] is 114.
The value of \[\left( {2758 + 2758} \right) - \left( {2758 + 2758} \right)\] is 0.
The value of \[72450 + \left( {583 - 58} \right)\] is 72975.

Note:
We have used the BODMAS rule to simplify the expression. It states that we should first calculate the brackets, orders, then division, then multiplication, and finally addition and subtraction in a finite order. We should also know the property of additive identity stating that when zero is added to any number, then the result would be the same number. Property of additive inverse states that when any number is added with its negative, then the result would be zero.