Multiple choice

What approximate value should come in place of question mark (?) in the following question? (You are not expected to calculate the exact value.) 158.006 × 13.0013 + 13.001 × 59.009 = ? - 24.01 × 14.001

  1. 2940

  2. 3160

  3. 3940

  4. 3680

  5. 3730

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Approximating: 158 * 13 + 13 * 59 = ? - 24 * 14. 2054 + 767 = ? - 336. 2821 + 336 = 3157. Closest option is 3160.

AI explanation

Approximate the values to form the expression 158 times 13 plus 13 times 59 equals x minus 24 times 14. Use the distributive property of multiplication over addition to simplify the left side to 13 times the sum of 158 and 59, yielding 13 times 217, which is 2821. On the right side, 24 times 14 equals 336, so the equation becomes 2821 equals x minus 336, and adding 336 to 2821 gives x a value of 3157, which rounds to 3160.