Question

Select the correct combination of mathematical signs that can sequentially replace Y to balance the following equation.

32 Y 8 Y 16 Y 8 Y 8

• A. x, =, -, ÷
• B. ÷, x, ÷, =
• C. x , ÷ , =, -
• D. ÷ , x , = , -

Answer 1

Answer:

B. ÷, x, ÷, =

A correct combination of mathematical signs to balance the equation is $\div, \times, \div, =$.

Substitute the signs sequentially into the equation in place of Y:

$32 \div 8 \times 16 \div 8 = 8$

Now, follow the BODMAS/PEMDAS rule (Division and Multiplication from left to right):

1. Perform the first division:
   $32 \div 8 = 4$
   The equation becomes:
   $4 \times 16 \div 8 = 8$

2. Perform the multiplication:
   $4 \times 16 = 64$
   The equation becomes:
   $64 \div 8 = 8$

3. Perform the final division:
   $64 \div 8 = 8$
   $8 = 8$

The equation is perfectly balanced