Question Details

Estimate the value that should replace the question mark (?) in the following equation (an exact calculation is not required).

4.9×11.9+8.9=?-3.9-11.1

Options

A

87

B

77

C

91

D

74

E

84

Show Answer

Correct Answer :

Option E

84

Solution :

To estimate the value of the question mark (?), we can round each decimal number in the equation to its nearest whole number (integer) to make the calculations simpler.

Let's look at the given equation:

4.9×11.9+8.9=?-3.9-11.1

Step 1: Round each number to the nearest integer.
4.95
11.912
8.99
3.94
11.111

Step 2: Substitute the rounded values back into the equation.

5×12+9=?-4-11

Step 3: Simplify the left side of the equation.
First, perform multiplication:

5×12=60

Next, add 9:

60+9=69

So, the left side simplifies to 69.

Step 4: Simplify the right side of the equation.
Combine the terms on the right side:

-4-11=-15

So, the right side becomes:

?-15

Step 5: Solve for the question mark (?).
Equating both sides:

69=?-15

Add 15 to both sides to isolate (?):

?=69+15

?=84

Therefore, the estimated value that should replace the question mark is 84.

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