Question

a sprinter ran the 100-meter dash in 14.06 seconds during the qualifying heat. during the finals, they ran 0.58 seconds faster. what was their time during the finals? select one of four 13.48 seconds 14.002 seconds 14.118 seconds 14.64 seconds remaining attempts: 1

Explanation:

Step1: Identify the operation

To find the final time, we need to subtract the time saved (0.58 seconds) from the qualifying heat time (14.06 seconds).

Step2: Perform the subtraction

We calculate \( 14.06 - 0.58 \).
First, align the decimal points:
\[

$$\begin{align*} 14.06\\ - \ 0.58\\ \hline \end{align*}$$

\]
Subtract the hundredths place: \( 6 - 8 \) is not possible, so we borrow 1 from the tenths place. The tenths place becomes \( 0 - 1 \), so we borrow 1 from the ones place. The ones place becomes \( 13 \), the tenths place becomes \( 10 \), and then we borrow 1 from the tenths place for the hundredths place. Now the hundredths place is \( 16 - 8 = 8 \), the tenths place is \( 9 - 5 = 4 \), and the ones place is \( 13 - 0 = 13 \)? Wait, no, let's do it correctly.
Wait, 14.06 is 14 + 0.06, and 0.58 is 0 + 0.58. So 14.06 - 0.58 = (14 - 0) + (0.06 - 0.58) = 14 + ( - 0.52) = 13.48? Wait, no, that's not right. Wait, 14.06 - 0.58:
14.06

• 0.58

= 13.48 (because 14.06 - 0.58: 0.06 - 0.58 = -0.52, then 14 - 0.52 = 13.48)
Wait, let's check with another method. 14.06 - 0.58:
14.06 - 0.5 = 13.56
13.56 - 0.08 = 13.48
Yes, that's correct.

Answer:

13.48 seconds