Hot Student Stories

# Compute 4.659×104−2.14×104. Round the answer appropriately. Express your answer as an integer using the proper number of significant figures (e.g. 12300)

#### 1 answer

### Add you answer

##### Wanna comment?

Please Sign In / Sign Up

Answer: 25,200.Explanation:1) Given: 4.659 × 10 ⁴ - 2.14 × 10 ⁴ 2) You have to deal with significant figures. Since then, the competencies are the same (10⁴) you can directly subtract the decimal numbers. But in the first place to analyze the significant figures and the number of decimal digits.3) The number of 4.659 × 10 ⁴ has four significant figures (4, 6, 5, and 9), while the number of 2.14 x 10 - ⁴ has three significant figures (2, 1, and 4).4) When adding or subtracting numbers with different amount of decimal places, the result should display the same number of decimal places as the term with the least number of decimal digits.5) Before subtracting, you must round all of the terms to at least the number of decimal digits. Thus, from 2.14 has two decimal digits, and 4.659 has three decimal digits, it will be the round of 4.659 to 4.66.6) Now subtract 4.66 - 2.14 = 2.52 7) Multiply by the power of 10: 2.52 × 10 ⁴ = 25,200. And that is the answer.