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Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation. 256*4*9 * 3 * 14=51
Question

Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.
256*4*9 * 3 * 14=51

A.

×+-÷

B.

÷ ×-+

C.

× ÷+-

D.

÷-×+

Correct option is D

By applying division first, then multiplication, addition, and subtraction.

Option A: × + - ÷

The equation is:
256 × 4 + 9 - 3 ÷ 14

First, divide 3 by 14:
256 × 4 + 9 - 0.214.

Next, multiply 256 by 4:
1024 + 9 - 0.214.

Then, add 1024 and 9:
1033 - 0.214.

Finally, subtract 0.214 from 1033:
1032.786.

This does not equal 51, so Option A is incorrect.

Option B: ÷ × - +

The equation is:
256 ÷ 4 × 9 - 3 + 14

64 × 9 - 3 + 14.

Next, multiply 64 by 9:
576 - 3 + 14.

Then, subtract 3 from 576:

573 + 14.

This gives 587.

This does not equal 51, so Option B is incorrect.

Option C: ×÷ + -

The equation is:

256 × 4 ÷ 9 + 3 - 14

First, divide 4 by 9:

256 × 0.444 + 3 - 14.

Next, multiply 256 by 0.444:

113.664 + 3 - 14.

Then, add 3 to 113.664:

116.664 - 14.

Subtracting 14 from 116.664 gives 102.664.

Option D: ÷ - × +

The equation is:

256 ÷ 4 - 9 × 3 + 14

First, divide 256 by 4:

64 - 9 × 3 + 14.

Next, multiply 9 by 3:

64 - 27 + 14.

78 - 27.

Finally, subtract 27 from 78:

51.

Since this equal 51, Option D is correct.

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