If '+' means 'subtraction', '−' means 'multiplication', '÷' means 'addition' and '×' means 'division', then what is the value of the following expression? 14 − 19 + 240 × 16 ÷ 61
312
Understanding Symbol Substitution for Expression Evaluation
This problem requires us to evaluate a mathematical expression where the standard arithmetic symbols have been given new meanings. We need to carefully substitute the symbols based on the provided rules and then calculate the result using the correct order of operations.
The given rules for symbol substitution are:
- '+' represents subtraction (-)
- '−' represents multiplication (*)
- '÷' represents addition (+)
- '×' represents division (/)
The original expression is:
14 − 19 + 240 × 16 ÷ 61
Applying the substitution rules to the expression, we get:
14 * 19 - 240 / 16 + 61
Now, we need to find the value of this new expression.
Evaluating the Substituted Expression Step-by-Step
To evaluate the expression 14 * 19 - 240 / 16 + 61, we follow the standard order of operations, often remembered by the acronym BODMAS/PEMDAS (Brackets/Parentheses, Orders/Exponents, Division and Multiplication from left to right, Addition and Subtraction from left to right).
-
Multiplication: First, we perform the multiplication operation.
\(14 \times 19 = 266\)
-
Division: Next, we perform the division operation.
\(240 / 16 = 15\)
-
Substitute results: Now, replace the multiplication and division parts in the expression with their calculated values:
266 - 15 + 61 -
Subtraction: Perform the subtraction operation (working from left to right).
\(266 - 15 = 251\)
-
Addition: Finally, perform the addition operation.
\(251 + 61 = 312\)
Final Result of the Expression
After performing all the operations in the correct order, the value of the expression 14 × 19 - 240 / 16 + 61 is 312.
Therefore, the value of the original expression 14 − 19 + 240 × 16 ÷ 61 after applying the given symbol substitutions is 312.
Similar Questions
Which of the following interchange of numbers and mathematical signs would make the given equation correct?
30 ÷ 6 × 4 + 15 - 35 = 25
Select the correct combination of mathematical signs that can sequentially replace the * signs and make the equation correct.
48 * 12 * 8 * 15 * 3 * 44
By Interchanging the given two numbers which of the following equation will be not correct?
9 and 6
By Interchanging the given two numbers which of the following equation will be correct?
2 and 8
Which two signs should be interchanged to make the given equation correct?
95 * 5 + 19 ÷ 2 − 21 = 36
By interchanging the given two signs and numbers which of the following equation will be not correct?
+ and –, 3 and 5
Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
50 * 25 * 10 * 2 * 175
Which two signs and two numbers should be interchanged in the following equation to make it correct?
10 × 11 + 19 - 323 ÷ 3 = 50
By interchanging the given two signs which of the following equation will be not correct?
+ and ÷
Which two signs should be interchanged to make the given equation correct?
3 × 12 - 6 ÷ 2 + 12 = 16
Important Questions from Logical Puzzle
Seven persons P, Q, R, S, T, U and V like different watches namely W1, W2, W3, W4, W5, W6 and W7 (not necessarily in the same order). P and R do not like odd numbered watch. T likes W5. U does not like W2 or W3 or W6 or W7. P likes prime numbered watch. Q likes W4. S likes W2 or W7. Which of the following statement(s) is/are correct ?
I. S likes W7.
II. R likes W2.
III. U likes W1.
IV. V likes W3.
If ‘+’ means ‘×’, ‘×’ means ‘÷’, ‘÷’ means ‘–’ and ‘–’ means ‘+’, then
16 + 18 × 3 ÷ 6 = ?
In a certain code language, ‘Today is last match’ is written as ‘Sa Te Mo Pt’, ‘Last king like your team’ is written as ‘De Ra Mo Lo Zs’, ‘Our team won today match’ is written as ‘Te Ra Pt Ae We’. What is the code for ‘Our won is Last’ in that code language?
In a certain code language, ‘LETTER’ is written as ‘ZLZYIO’. What is the code for ‘ACTION’ in that code language?
If ‘A’ denotes ‘+’, ‘B’ denotes ‘×’, ‘C’ denotes ‘–’ and ‘D’ denotes ‘÷’, then what will come in place of ‘?’ in the following equation?
21 A 34 C 6 B (72 D 9) A 13 B 1 + (56 D 4) = ?
