81 [15 {7 – 2 (7 – 3)}] please explain the steps Related: Worksheet Questions: Knowing Our Number- 2?

Question

81 [15 {7 – 2 (7 – 3)}] please explain the steps Related:  Worksheet Questions: Knowing Our Number- 2?

Answer

Solution:

Given expression is 81 [15 {7 – 2 (7 – 3)}]

We need to simplify this expression using BODMAS rule.

BODMAS stands for:

B - Brackets first
O - Orders (ie Powers and Square Roots, etc.)
DM - Division and Multiplication (left-to-right)
AS - Addition and Subtraction (left-to-right)

Let's simplify the expression step by step:

Step 1: Simplify the expression inside the bracket first.

7 – 3 = 4
2 x 4 = 8
7 – 8 = -1

Therefore, the expression inside the bracket is -1.

Step 2: Simplify the expression inside the curly braces.

7 – 2 (-1) = 7 + 2 = 9

Therefore, the expression inside the curly braces is 9.

Step 3: Simplify the expression outside the curly braces.

15 x 9 = 135

Therefore, the expression outside the curly braces is 135.

Step 4: Simplify the entire expression.

81 x 135 = 10935

Therefore, the simplified expression is 10935.

Hence, the solution of the given expression is 10935.

Answer

Step by step explanation:81[15{7-2(7-3)}]= 81[15{7-2*4}]= 81[15{7-8}]= 81[15*(-1)]=81*(-15)=-1215

Answer

We have to follow the rules of:
B:bracket
O:off
D:division
M:multiplication
A:addition
S:subtraction

So,at first we need to do the operations on the numbers by determing their brackets.
( ) is called the first bracket.So we need to solve the problem which is in the first bracket.
7 - 3=4
Now we will remove the first bracket. But there is no sign before first bracket..Now the question is what sign will be put after removing first bracket..
There's also a rule to imagine that sign as a multiplication sign i.e. 81[15{7 - 2×4}].
Then, also you need to know that { } is curly bracket or second bracket.As per the rule of BODMAS you will do the multiplication first and then subtraction.
81[15{7 - 8}]
=81[15× - 1]. ~ removed the curly or second bracket.
[ ] is the third bracket or square bracket.
=81× - 15. ~ removed third bracket or square bracket.

= - 1215

MULTIPLICATION (ROUGH WORK)
81
×15

405
+81
1215

As there is a minus sign before 15, you have to put a minus sign before 1215 i.e. - 1215.

N.B. : IF BOTH OF THE NUMBERS WERE NEGATIVE, THEN THE MINUS SIGN WILL BE CHANGED INTO A
PLUS SIGN.***( know the rules of integers for this)***

Answer

2-3546+24)a+b=b+a

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