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Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the equation.
5 * 468 * 18 * 70 * 180 * 4 * 5
- a)x, ÷, -, +, =, x
- b)÷, x, +, -, =, x
- c)x, ÷, +, =, -, x
- d)x, ÷, +, -, =, x
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Select the correct combination of mathematical signs that can sequent...
Explanation:
To balance the equation, we need to replace the * signs with mathematical signs that maintain the equality of the equation. Let's go step by step:
Step 1: Replace the first * sign
We have 5 * 468. To balance this part, we can use the division sign ÷. So, the equation becomes 5 ÷ 468.
Step 2: Replace the second * sign
Now we have 5 ÷ 468 * 18. To balance this part, we can use the multiplication sign x. So, the equation becomes 5 ÷ 468 x 18.
Step 3: Replace the third * sign
Next, we have 5 ÷ 468 x 18 * 70. We can use the addition sign + to balance this part. So, the equation becomes 5 ÷ 468 x 18 + 70.
Step 4: Replace the fourth * sign
Now we have 5 ÷ 468 x 18 + 70 * 180. We can use the subtraction sign - to balance this part. So, the equation becomes 5 ÷ 468 x 18 + 70 - 180.
Step 5: Replace the fifth * sign
Next, we have 5 ÷ 468 x 18 + 70 - 180 * 4. We can use the addition sign + to balance this part. So, the equation becomes 5 ÷ 468 x 18 + 70 - 180 + 4.
Step 6: Replace the sixth * sign
Finally, we have 5 ÷ 468 x 18 + 70 - 180 + 4 * 5. We can use the multiplication sign x to balance this part. So, the equation becomes 5 ÷ 468 x 18 + 70 - 180 + 4 x 5.
The correct combination of mathematical signs that can sequentially replace the * signs and balance the equation is:
x, ÷, +, -, +, x
Therefore, the correct answer is option 'D'.
To balance the equation, we need to replace the * signs with mathematical signs that maintain the equality of the equation. Let's go step by step:
Step 1: Replace the first * sign
We have 5 * 468. To balance this part, we can use the division sign ÷. So, the equation becomes 5 ÷ 468.
Step 2: Replace the second * sign
Now we have 5 ÷ 468 * 18. To balance this part, we can use the multiplication sign x. So, the equation becomes 5 ÷ 468 x 18.
Step 3: Replace the third * sign
Next, we have 5 ÷ 468 x 18 * 70. We can use the addition sign + to balance this part. So, the equation becomes 5 ÷ 468 x 18 + 70.
Step 4: Replace the fourth * sign
Now we have 5 ÷ 468 x 18 + 70 * 180. We can use the subtraction sign - to balance this part. So, the equation becomes 5 ÷ 468 x 18 + 70 - 180.
Step 5: Replace the fifth * sign
Next, we have 5 ÷ 468 x 18 + 70 - 180 * 4. We can use the addition sign + to balance this part. So, the equation becomes 5 ÷ 468 x 18 + 70 - 180 + 4.
Step 6: Replace the sixth * sign
Finally, we have 5 ÷ 468 x 18 + 70 - 180 + 4 * 5. We can use the multiplication sign x to balance this part. So, the equation becomes 5 ÷ 468 x 18 + 70 - 180 + 4 x 5.
The correct combination of mathematical signs that can sequentially replace the * signs and balance the equation is:
x, ÷, +, -, +, x
Therefore, the correct answer is option 'D'.
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Community Answer
Select the correct combination of mathematical signs that can sequent...
From option 1
5 * 468 * 18 * 70 * 180 * 4 * 5
×, ÷, -, +, =, ×
5 × 468 ÷ 18 - 70 + 180 = 4 × 5
Apply BODMAS rule:
5 × 26 - 70 + 180 = 4 × 5
130 - 70 + 180 = 20
310 - 70 = 20
240 ≠ 20, It does not follow.
From option 2:
5 * 468 * 18 * 70 * 180 * 4 * 5
÷, ×, +, -, =, ×
5 ÷ 468 × 18 + 70 - 180 = 4 × 5
Apply BODMAS rule:
0.010 × 18 + 70 - 180 = 4 × 5
0.18 + 70 - 180 = 20
70.18 - 180 = 20
-109.82 ≠ 20, It does not follow.
From option 3:
5 * 468 * 18 * 70 * 180 * 4 * 5
×, ÷, +, =, -, ×
5 × 468 ÷ 18 + 70 = 180 - 4 × 5
Apply BODMAS rule:
5 × 26 + 70 = 180 - 4 × 5
130 + 70 = 180 - 20
200 = 180 - 20
200 ≠ 160, It does not follow.
From option 4:
5 * 468 * 18 * 70 * 180 * 4 * 5
×, ÷, +, -, =, ×
5 × 468 ÷ 18 + 70 - 180 = 4 × 5
Apply BODMAS rule:
5 × 26 + 70 - 180 = 4 × 5
130 + 70 - 180 = 20
200 - 180 = 20
20 = 20, It follows.
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