Question

independent practice:
subtracting decimals to thousandths
name
no regrouping
directions: solve the decimal subtraction problems below
1.
$\begin{array}{r}3.126\\ -1.014\\ hlineend{array}$
6.
$\begin{array}{r}45.37\\ -23.14\\ hlineend{array}$
11.
$\begin{array}{r}6.987\\ -5.812\\ hlineend{array}$
16.
$\begin{array}{r}982.4\\ -560.2\\ hlineend{array}$
2.
$\begin{array}{r}557.0\\ -431.0\\ hlineend{array}$
7.
$\begin{array}{r}89.38\\ -43.17\\ hlineend{array}$
12.
$\begin{array}{r}.324\\ -.203\\ hlineend{array}$
17.
$\begin{array}{r}9.065\\ -8.041\\ hlineend{array}$
3.
$\begin{array}{r}1.894\\ -.482\\ hlineend{array}$
8.
$\begin{array}{r}52.09\\ -21.05\\ hlineend{array}$
13.
$\begin{array}{r}85.46\\ -74.33\\ hlineend{array}$
18.
$\begin{array}{r}6462\\ -4202\\ hlineend{array}$
4.
$\begin{array}{r}92.351\\ -10.041\\ hlineend{array}$
9.
$\begin{array}{r}123.65\\ -23.45\\ hlineend{array}$
14.
$\begin{array}{r}456.36\\ -13.22\\ hlineend{array}$
19.
$\begin{array}{r}7.493\\ -4.282\\ hlineend{array}$
5.
$\begin{array}{r}457.23\\ -247.12\\ hlineend{array}$
10.
$\begin{array}{r}56.71\\ -33.40\\ hlineend{array}$
15.
$\begin{array}{r}981.3\\ -770.2\\ hlineend{array}$
20.
$\begin{array}{r}540.12\\ -340.10\\ hlineend{array}$
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Explanation:

Let's solve problem 1 as an example (we can solve others similarly):

Step1: Align decimals

We have \( 3.126 - 1.014 \). Align the decimal points:
\[

$$\begin{align*} 3.126\\ -1.014\\ \hline \end{align*}$$

\]

Step2: Subtract column by column

Subtract the thousandths place: \( 6 - 4 = 2 \).
Subtract the hundredths place: \( 2 - 1 = 1 \).
Subtract the tenths place: \( 1 - 0 = 1 \).
Subtract the ones place: \( 3 - 1 = 2 \).
\[

$$\begin{align*} 3.126\\ -1.014\\ \hline 2.112\\ \end{align*}$$

\]

Answer:

For problem 1, the result is \( 2.112 \)

(If you want solutions for other problems, you can follow the same steps: align the decimal points and subtract each column from right to left (thousandths, hundredths, tenths, ones, tens, etc.). For example, problem 2: \( 557.0 - 431.0 \), align decimals and subtract: \( 557.0 - 431.0 = 126.0 \); problem 3: \( 1.894 - 0.482 \), align and subtract: \( 1.412 \), etc.)