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Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
25 * 5 * 10 * 2 * 4 * 21
  • a)
    –, +, ÷, ×, =
  • b)
    ÷, ×, +, –, =
  • c)
    ×, ÷, –, +, =
  • d)
    ÷, +, ×, –, =
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Select the correct combination of mathematical signs to sequentially ...
To balance the given equation 25 * 5 * 10 * 2 * 4 * 21, we need to select the correct combination of mathematical signs to replace the * signs. The correct combination is option 'D': ÷, +, ×, -.

Here's a detailed explanation of why option 'D' is the correct combination:

1. ÷ (Division):
The first * sign can be replaced with the division sign ÷. This gives us: 25 ÷ 5 * 10 * 2 * 4 * 21.

2. + (Addition):
The second * sign can be replaced with the addition sign +. This gives us: 25 ÷ 5 + 10 * 2 * 4 * 21.

3. × (Multiplication):
The third * sign can be replaced with the multiplication sign ×. This gives us: 25 ÷ 5 + 10 × 2 * 4 * 21.

4. - (Subtraction):
The fourth * sign can be replaced with the subtraction sign -. This gives us: 25 ÷ 5 + 10 × 2 - 4 * 21.

Now let's simplify the equation step by step:

Step 1: Division
25 ÷ 5 = 5
The equation becomes: 5 + 10 × 2 - 4 * 21.

Step 2: Multiplication
10 × 2 = 20
The equation becomes: 5 + 20 - 4 * 21.

Step 3: Multiplication
4 * 21 = 84
The equation becomes: 5 + 20 - 84.

Step 4: Addition and Subtraction
5 + 20 = 25
25 - 84 = -59

Therefore, the balanced equation is: -59.

In conclusion, the correct combination of mathematical signs to balance the given equation 25 * 5 * 10 * 2 * 4 * 21 is ÷, +, ×, - as shown in option 'D'.
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Select the correct combination of mathematical signs to sequentially ...
Given equation:
25 * 5 * 10 * 2 * 4 * 21
Applying each option to the given equation:
Option (a) –, +, ÷, ×, =
25 - 5 + 10 ÷ 2 × 4 = 21
25 - 5 + 5 × 4 = 21
25 - 5 + 20 = 21
45 - 5 = 21
40 ≠ 21
LHS ≠ RHS
Option (b) ÷, ×, +, –, =
25 ÷ 5 × 10 + 2 - 4 = 21
5 × 10 + 2 - 4 = 21
50 + 2 - 4 = 21
52 - 4 = 21
48 ≠ 21
LHS ≠ RHS
Option (c) ×, ÷, –, +, =
25 × 5 ÷ 10 - 2 + 4 = 21
25 × 0.5 - 2 + 4 = 21
12.5 - 2 + 4 = 21
16.5 - 2 = 21
14.5 ≠ 21
LHS ≠ RHS
Option (d) ÷, +, ×, –, =
25 ÷ 5 + 10 × 2 - 4 = 21
5 + 10 × 2 - 4 = 21
5 + 20 - 4 = 21
25 - 4 = 21
21 = 21
LHS = RHS
Hence the correct answer is option (d).
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Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.25 * 5 * 10 * 2 * 4 * 21a)–, +, ÷, ×, =b)÷, ×, +, –, =c)×, ÷, –, +, =d)÷, +, ×, –, =Correct answer is option 'D'. Can you explain this answer?
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