Question

practice using the standard algorithm to add and subtract decimals
study the example showing how to use the standard algorithm to add decimals. then solve problems 1–5.
example
tara’s house is 1.94 km from the library. the library is 0.347 km from the park. tara walks from her house to the library and then from the library to the park. what is the total distance tara walks?
line up the decimals by place value. write each decimal with the same number of decimal places. then regroup as needed to add.
1.940
+ 0.347
------
2.287
tara walks a total distance of 2.287 km.
1 in the example, how much farther is it from tara’s house to the library than it is from the library to the park? show your work.

Explanation:

Step1: Identify the distances

The distance from Tara's house to the library is \( 1.94 \) km, and from the library to the park is \( 0.347 \) km. We need to find the difference \( 1.94 - 0.347 \).

Step2: Align decimals by place value

Write \( 1.94 \) as \( 1.940 \) to have the same number of decimal places.

Step3: Subtract the decimals

$$
LATEXBLOCK0
$$

Subtract each place value: \( 0 - 7 \) is not possible, so borrow from the hundredths place. \( 10 - 7 = 3 \) in the thousandths place. The hundredths place becomes \( 3 \) (after borrowing \( 1 \) from the tenths place), \( 3 - 4 \) is not possible, so borrow from the tenths place. \( 13 - 4 = 9 \) in the hundredths place. The tenths place becomes \( 8 \), \( 8 - 3 = 5 \) in the tenths place. The ones place is \( 1 - 0 = 1 \).

Answer:

The distance from Tara's house to the library is \( 1.593 \) km farther than from the library to the park.