Add and Subtract Decimals 1

Years

Year 10

Decimals

Add and Subtract Decimals

Add and Subtract Decimals 1

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Question 1 of 5

1. Question
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$4.27 + 11.634 + 0.32$ $4.27+11.634+0.32$
- (16.224)
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First, line up the decimal points (point over point).

If there are any blank values to the right of the decimal point, write $0$ $0$ .

$4$ $4$ $.$ $.$ $2$ $2$ $7$ $7$ $0$ $0$

$+$ $+$ $1$ $1$ $1$ $1$ $.$ $.$ $6$ $6$ $3$ $3$ $4$ $4$

$+$ $+$ $0$ $0$ $.$ $.$ $3$ $3$ $2$ $2$ $0$ $0$

Add as you would whole numbers

Carry Overs $1$ $1$ $1$ $1$

$+$ $+$ $4$ $4$ $.$ $.$ $2$ $2$ $7$ $7$ $0$ $0$

$+$ $+$ $1$ $1$ $1$ $1$ $.$ $.$ $6$ $6$ $3$ $3$ $4$ $4$

$+$ $+$ $0$ $0$ $.$ $.$ $3$ $3$ $2$ $2$ $0$ $0$

$1$ $1$ $6$ $6$ $.$ $.$ $2$ $2$ $2$ $2$ $4$ $4$

The sum is $16.224$ $16.224$

$16.224$ $16.224$
Question 2 of 5

2. Question
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$7980.2 + 3.006 + 55.701$ $7980.2+3.006+55.701$
- (8038.907)
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First, line up the decimal points (point over point).

If there are any blank values to the right of the decimal point, write $0$ $0$ .

$7$ $7$ $9$ $9$ $8$ $8$ $0$ $0$ $.$ $.$ $2$ $2$ $0$ $0$ $0$ $0$

$+$ $+$ $3$ $3$ $.$ $.$ $0$ $0$ $0$ $0$ $6$ $6$

$+$ $+$ $5$ $5$ $5$ $5$ $.$ $.$ $7$ $7$ $0$ $0$ $1$ $1$

Add as you would whole numbers

Carry Overs $1$ $1$ $1$ $1$

$+$ $+$ $7$ $7$ $9$ $9$ $8$ $8$ $0$ $0$ $.$ $.$ $2$ $2$ $0$ $0$ $0$ $0$

$+$ $+$ $3$ $3$ $.$ $.$ $0$ $0$ $0$ $0$ $6$ $6$

$+$ $+$ $5$ $5$ $5$ $5$ $.$ $.$ $7$ $7$ $0$ $0$ $1$ $1$

$8$ $8$ $0$ $0$ $3$ $3$ $8$ $8$ $.$ $.$ $9$ $9$ $0$ $0$ $7$ $7$

The sum is $8038.907$ $8038.907$

$8038.907$ $8038.907$
Question 3 of 5

3. Question
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$0.019 + 537.4 + 20.72$ $0.019+537.4+20.72$
- (558.139)
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First, line up the decimal points (point over point).

If there are any blank values to the right of the decimal point, write $0$ $0$ .

$0$ $0$ $.$ $.$ $0$ $0$ $1$ $1$ $9$ $9$

$+$ $+$ $5$ $5$ $3$ $3$ $7$ $7$ $.$ $.$ $4$ $4$ $0$ $0$ $0$ $0$

$+$ $+$ $2$ $2$ $0$ $0$ $.$ $.$ $7$ $7$ $2$ $2$ $0$ $0$

Add as you would whole numbers

Carry Overs $1$ $1$

$+$ $+$ $0$ $0$ $.$ $.$ $0$ $0$ $1$ $1$ $9$ $9$

$+$ $+$ $5$ $5$ $3$ $3$ $7$ $7$ $.$ $.$ $4$ $4$ $0$ $0$ $0$ $0$

$+$ $+$ $2$ $2$ $0$ $0$ $.$ $.$ $7$ $7$ $2$ $2$ $0$ $0$

$5$ $5$ $5$ $5$ $8$ $8$ $.$ $.$ $1$ $1$ $3$ $3$ $9$ $9$

The sum is $558.139$ $558.139$

$558.139$ $558.139$
Question 4 of 5

4. Question
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$9 - 0.04$ $9-0.04$
- (8.96)
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First, line up the decimal points (point over point).

If there are any blank values to the right of the decimal point, write $0$ $0$ .

$9$ $9$ $.$ $.$ $0$ $0$ $0$ $0$

$-$ $-$ $0$ $0$ $.$ $.$ $0$ $0$ $4$ $4$

Subtract as you would whole numbers

Since $0$ $0$ is less than $4$ $4$ we will use borrowing to subtract

$0$ $0$ (tenths digit) $=$ $=$ borrow $1$ $1$ from $9$ $9$

$0$ $0$ (hundredths digit) $=$ $=$ borrow $1$ $1$ from $10$ $10$ (tenths digit)

$9$ $9$

$8$ $8$ $10$ $10$ $10$ $10$

$9$ $9$ $.$ $.$ $0$ $0$ $0$ $0$

$-$ $-$ $0$ $0$ $.$ $.$ $0$ $0$ $4$ $4$

$8$ $8$ $.$ $.$ $9$ $9$ $6$ $6$

The difference is $8.96$ $8.96$

$8.96$ $8.96$
Question 5 of 5

5. Question
Solve

$2.1 - 1.091$ $2.1-1.091$
- (1.009)
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First, line up the decimal points (point over point).

If there are any blank values to the right of the decimal point, write $0$ $0$ .

$2$ $2$ $.$ $.$ $1$ $1$ $0$ $0$ $0$ $0$

$-$ $-$ $1$ $1$ $.$ $.$ $0$ $0$ $9$ $9$ $1$ $1$

Subtract as you would whole numbers

Since $0$ $0$ is less than $9$ $9$ and $1$ $1$ we will use borrowing to subtract

$0$ $0$ (hundredths digit) $=$ $=$ borrow $1$ $1$ from $1$ $1$

$0$ $0$ (thousandths digit) $=$ $=$ borrow $1$ $1$ from $10$ $10$ (hundredths digit)

$9$ $9$

$0$ $0$ $10$ $10$ $10$ $10$

$2$ $2$ $.$ $.$ $1$ $1$ $0$ $0$ $0$ $0$

$-$ $-$ $1$ $1$ $.$ $.$ $0$ $0$ $9$ $9$ $1$ $1$

$1$ $1$ $.$ $.$ $0$ $0$ $0$ $0$ $9$ $9$

The difference is $1.009$ $1.009$

$1.009$ $1.009$

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Quiz summary

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1. Question

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3. Question

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4. Question

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5. Question

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Quizzes

		$4$ $4$	$.$ $.$	$2$ $2$	$7$ $7$	$0$ $0$
$+$ $+$	$1$ $1$	$1$ $1$	$.$ $.$	$6$ $6$	$3$ $3$	$4$ $4$
$+$ $+$		$0$ $0$	$.$ $.$	$3$ $3$	$2$ $2$	$0$ $0$

Carry Overs		$1$ $1$		$1$ $1$
$+$ $+$		$4$ $4$	$.$ $.$	$2$ $2$	$7$ $7$	$0$ $0$
$+$ $+$	$1$ $1$	$1$ $1$	$.$ $.$	$6$ $6$	$3$ $3$	$4$ $4$
$+$ $+$		$0$ $0$	$.$ $.$	$3$ $3$	$2$ $2$	$0$ $0$
	$1$ $1$	$6$ $6$	$.$ $.$	$2$ $2$	$2$ $2$	$4$ $4$

	$7$ $7$	$9$ $9$	$8$ $8$	$0$ $0$	$.$ $.$	$2$ $2$	$0$ $0$	$0$ $0$
$+$ $+$				$3$ $3$	$.$ $.$	$0$ $0$	$0$ $0$	$6$ $6$
$+$ $+$			$5$ $5$	$5$ $5$	$.$ $.$	$7$ $7$	$0$ $0$	$1$ $1$

			$9$ $9$
	$8$ $8$		$10$ $10$	$10$ $10$
	$9$ $9$	$.$ $.$	$0$ $0$	$0$ $0$
$-$ $-$	$0$ $0$	$.$ $.$	$0$ $0$	$4$ $4$
	$8$ $8$	$.$ $.$	$9$ $9$	$6$ $6$