Solved on Dec 19, 2023

Solve the following basic arithmetic problems: $13.81-66$ , $14.96-19$ , $62-17$ , $57-29$ .

STEP 1

Assumptions
1. We are performing basic subtraction problems.
2. Each problem is independent of the others.

STEP 2

We will solve the first subtraction problem.
$13.81 - 66$

STEP 3

Since we are subtracting a larger number from a smaller one, the result will be negative.

STEP 4

Perform the subtraction by aligning the decimal points and adding a placeholder zero if necessary.
$\begin{align} &\phantom{-}13.81\\ -&66.00\\ \end{align}$

STEP 5

Borrow from the next column to the left where necessary.
$\begin{align} &\phantom{-}13.81\\ -&66.00\\ \end{align}$

STEP 6

Subtract the units column.
$1 - 0 = 1$

STEP 7

Subtract the tenths column.
$8 - 0 = 8$

STEP 8

Subtract the ones column, remembering to borrow from the tens column.
$3 - 6$
Since 3 is less than 6, we need to borrow 1 from the tens column, making it:
$13 - 6 = 7$

STEP 9

Subtract the tens column, after borrowing.
$0 - 6$
Since we cannot subtract 6 from 0, we borrow 1 from the imaginary hundreds place, making it:
$10 - 6 = 4$

STEP 10

Combine the results to get the final answer for the first problem.
$-52.19$

STEP 11

Now, we will solve the second subtraction problem.
$14.96 - 19$

STEP 12

Align the decimal points and add a placeholder zero if necessary.
$\begin{align} &\phantom{-}14.96\\ -&19.00\\ \end{align}$

STEP 13

Subtract the units column.
$6 - 0 = 6$

STEP 14

Subtract the tenths column.
$9 - 0 = 9$

STEP 15

Subtract the ones column, remembering to borrow from the tens column.
$4 - 9$
Since 4 is less than 9, we need to borrow 1 from the tens column, making it:
$14 - 9 = 5$

STEP 16

Subtract the tens column, after borrowing.
$0 - 1 = -1$
Since we cannot have a negative digit, we recognize that the entire result will be negative.

STEP 17

Combine the results to get the final answer for the second problem.
$-4.04$

STEP 18

Now, we will solve the third subtraction problem.
$62 - 17$

STEP 19

Subtract the ones column.
$2 - 7$
Since 2 is less than 7, we need to borrow 1 from the tens column, making it:
$12 - 7 = 5$

STEP 20

Subtract the tens column, after borrowing.
$5 - 1 = 4$

STEP 21

Combine the results to get the final answer for the third problem.
$45$

STEP 22

Now, we will solve the fourth subtraction problem.
$57 - 29$

STEP 23

Subtract the ones column.
$7 - 9$
Since 7 is less than 9, we need to borrow 1 from the tens column, making it:
$17 - 9 = 8$

STEP 24

Subtract the tens column, after borrowing.
$4 - 2 = 2$

STEP 25

Combine the results to get the final answer for the fourth problem.
$28$
The solutions to the subtraction problems are:
1. $13.81 - 66 = -52.19$
2. $14.96 - 19 = -4.04$
3. $62 - 17 = 45$
4. $57 - 29 = 28$

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Solve the following basic arithmetic problems: 13.81−6613.81-6613.81−66, 14.96−1914.96-1914.96−19, 62−1762-1762−17, 57−2957-2957−29.

STEP 1

Assumptions1. We are performing basic subtraction problems.2. Each problem is independent of the others.

STEP 2

We will solve the first subtraction problem.13.81−6613.81 - 6613.81−66

STEP 3

Since we are subtracting a larger number from a smaller one, the result will be negative.

STEP 4

Perform the subtraction by aligning the decimal points and adding a placeholder zero if necessary.−13.81−66.00\begin{align*} &\phantom{-}13.81\\ -&66.00\\ \end{align*}−​−13.8166.00​

STEP 5

Borrow from the next column to the left where necessary.−13.81−66.00\begin{align*} &\phantom{-}13.81\\ -&66.00\\ \end{align*}−​−13.8166.00​

STEP 6

Subtract the units column.1−0=11 - 0 = 11−0=1

STEP 7

Subtract the tenths column.8−0=88 - 0 = 88−0=8

STEP 8

Subtract the ones column, remembering to borrow from the tens column.3−63 - 63−6Since 3 is less than 6, we need to borrow 1 from the tens column, making it:13−6=713 - 6 = 713−6=7

STEP 9

Subtract the tens column, after borrowing.0−60 - 60−6Since we cannot subtract 6 from 0, we borrow 1 from the imaginary hundreds place, making it:10−6=410 - 6 = 410−6=4

STEP 10

Combine the results to get the final answer for the first problem.−52.19-52.19−52.19

STEP 11

Now, we will solve the second subtraction problem.14.96−1914.96 - 1914.96−19

STEP 12

Align the decimal points and add a placeholder zero if necessary.−14.96−19.00\begin{align*} &\phantom{-}14.96\\ -&19.00\\ \end{align*}−​−14.9619.00​

STEP 13

Subtract the units column.6−0=66 - 0 = 66−0=6

STEP 14

Subtract the tenths column.9−0=99 - 0 = 99−0=9

STEP 15

Subtract the ones column, remembering to borrow from the tens column.4−94 - 94−9Since 4 is less than 9, we need to borrow 1 from the tens column, making it:14−9=514 - 9 = 514−9=5

STEP 16

Subtract the tens column, after borrowing.0−1=−10 - 1 = -10−1=−1Since we cannot have a negative digit, we recognize that the entire result will be negative.

STEP 17

Combine the results to get the final answer for the second problem.−4.04-4.04−4.04

STEP 18

Now, we will solve the third subtraction problem.62−1762 - 1762−17

STEP 19

Subtract the ones column.2−72 - 72−7Since 2 is less than 7, we need to borrow 1 from the tens column, making it:12−7=512 - 7 = 512−7=5

STEP 20

Subtract the tens column, after borrowing.5−1=45 - 1 = 45−1=4

STEP 21

Combine the results to get the final answer for the third problem.454545

STEP 22

Now, we will solve the fourth subtraction problem.57−2957 - 2957−29

STEP 23

Subtract the ones column.7−97 - 97−9Since 7 is less than 9, we need to borrow 1 from the tens column, making it:17−9=817 - 9 = 817−9=8

STEP 24

Subtract the tens column, after borrowing.4−2=24 - 2 = 24−2=2

STEP 25

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Solve the following basic arithmetic problems: $13.81-66$ , $14.96-19$ , $62-17$ , $57-29$ .

Assumptions
1. We are performing basic subtraction problems.
2. Each problem is independent of the others.

We will solve the first subtraction problem.
$13.81 - 66$

Perform the subtraction by aligning the decimal points and adding a placeholder zero if necessary.
$\begin{align} &\phantom{-}13.81\\ -&66.00\\ \end{align}$

Borrow from the next column to the left where necessary.
$\begin{align} &\phantom{-}13.81\\ -&66.00\\ \end{align}$

Subtract the units column.
$1 - 0 = 1$

Subtract the tenths column.
$8 - 0 = 8$

Subtract the ones column, remembering to borrow from the tens column.
$3 - 6$
Since 3 is less than 6, we need to borrow 1 from the tens column, making it:
$13 - 6 = 7$

Subtract the tens column, after borrowing.
$0 - 6$
Since we cannot subtract 6 from 0, we borrow 1 from the imaginary hundreds place, making it:
$10 - 6 = 4$

Combine the results to get the final answer for the first problem.
$-52.19$

Now, we will solve the second subtraction problem.
$14.96 - 19$

Align the decimal points and add a placeholder zero if necessary.
$\begin{align} &\phantom{-}14.96\\ -&19.00\\ \end{align}$

Subtract the units column.
$6 - 0 = 6$

Subtract the tenths column.
$9 - 0 = 9$

Subtract the ones column, remembering to borrow from the tens column.
$4 - 9$
Since 4 is less than 9, we need to borrow 1 from the tens column, making it:
$14 - 9 = 5$

Subtract the tens column, after borrowing.
$0 - 1 = -1$
Since we cannot have a negative digit, we recognize that the entire result will be negative.

Combine the results to get the final answer for the second problem.
$-4.04$

Now, we will solve the third subtraction problem.
$62 - 17$

Subtract the ones column.
$2 - 7$
Since 2 is less than 7, we need to borrow 1 from the tens column, making it:
$12 - 7 = 5$

Subtract the tens column, after borrowing.
$5 - 1 = 4$

Combine the results to get the final answer for the third problem.
$45$

Now, we will solve the fourth subtraction problem.
$57 - 29$

Subtract the ones column.
$7 - 9$
Since 7 is less than 9, we need to borrow 1 from the tens column, making it:
$17 - 9 = 8$

Subtract the tens column, after borrowing.
$4 - 2 = 2$