Question

Which expression is 4 times as large as the expression 34 minus 15?

Option 1: 4×(34−15)
Option 2: 34−15÷4
Option 3: 4×34−15
Option 4: 4÷(34−15)

Answer 1

The correct expression that represents 4 times as large as 34 minus 15 is Option 1: 4×(34−15), which follows the correct order of operations and scales the original expression up by a factor of four.

Step-by-step explanation:

The order of operations stands for parenthesis, exponent, multiply, divide, add, and subtract from left to right.

The expression that is 4 times as large as the expression 34 minus 15 is Option 1: 4×(34−15). This is because when you multiply a number by 4, you are creating a quantity that is 4 times larger than the original number. In the case of the expression 34 minus 15, first, you would do the subtraction which gives you 19.

Then, multiplying 19 by 4 gives you 76, which is indeed 4 times as large as 19. Other options present different operations that do not correctly scale the original expression by 4 times.