Add and Subtract Decimals 2

Years

Year 7

Decimals

Add and Subtract Decimals

Add and Subtract Decimals 2

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Question 1 of 4

1. Question
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$18.002 + 23.14 + 5.06$ $18.002+23.14+5.06$
- (46.202)
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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 $0$ $0$ .

$1$ $1$ $8$ $8$ $.$ $.$ $0$ $0$ $0$ $0$ $2$ $2$

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

$+$ $+$ $5$ $5$ $.$ $.$ $0$ $0$ $6$ $6$ $0$ $0$

Add as you would whole numbers

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

$+$ $+$ $1$ $1$ $8$ $8$ $.$ $.$ $0$ $0$ $0$ $0$ $2$ $2$

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

$+$ $+$ $5$ $5$ $.$ $.$ $0$ $0$ $6$ $6$ $0$ $0$

$4$ $4$ $6$ $6$ $.$ $.$ $2$ $2$ $0$ $0$ $2$ $2$

The sum is $46.202$ $46.202$

$46.202$ $46.202$
Question 2 of 4

2. Question
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$107.201 + 0.074 + 3.4$ $107.201+0.074+3.4$
- (110.675)
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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 $0$ $0$ .

$1$ $1$ $0$ $0$ $7$ $7$ $.$ $.$ $2$ $2$ $0$ $0$ $1$ $1$

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

$+$ $+$ $3$ $3$ $.$ $.$ $4$ $4$ $0$ $0$ $0$ $0$

Add as you would whole numbers

Carry Overs $1$ $1$

$+$ $+$ $1$ $1$ $0$ $0$ $7$ $7$ $.$ $.$ $2$ $2$ $0$ $0$ $1$ $1$

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

$+$ $+$ $3$ $3$ $.$ $.$ $4$ $4$ $0$ $0$ $0$ $0$

$1$ $1$ $1$ $1$ $0$ $0$ $.$ $.$ $6$ $6$ $7$ $7$ $5$ $5$

The sum is $110.675$ $110.675$

$110.675$ $110.675$
Question 3 of 4

3. Question
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$0.004 + 39.8 + 4.607 + 25$ $0.004+39.8+4.607+25$
- (69.411)
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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 $0$ $0$ .

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

$+$ $+$ $3$ $3$ $9$ $9$ $.$ $.$ $8$ $8$ $0$ $0$ $0$ $0$

$+$ $+$ $4$ $4$ $.$ $.$ $6$ $6$ $0$ $0$ $7$ $7$

$+$ $+$ $2$ $2$ $5$ $5$ $.$ $.$ $0$ $0$ $0$ $0$ $0$ $0$

Add as you would whole numbers

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

$+$ $+$ $0$ $0$ $.$ $.$ $0$ $0$ $0$ $0$ $4$ $4$

$+$ $+$ $3$ $3$ $9$ $9$ $.$ $.$ $8$ $8$ $0$ $0$ $0$ $0$

$+$ $+$ $4$ $4$ $.$ $.$ $6$ $6$ $0$ $0$ $7$ $7$

$+$ $+$ $2$ $2$ $5$ $5$ $.$ $.$ $0$ $0$ $0$ $0$ $0$ $0$

$6$ $6$ $9$ $9$ $.$ $.$ $4$ $4$ $1$ $1$ $1$ $1$

The sum is $69.411$ $69.411$

$69.411$ $69.411$
Question 4 of 4

4. Question
Solve

$27 - 0.027$ $27-0.027$
- (26.973)
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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 $0$ $0$ .

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

$-$ $-$ $0$ $0$ $.$ $.$ $0$ $0$ $2$ $2$ $7$ $7$

Subtract as you would whole numbers

Since $0$ $0$ is less than $7$ $7$ and $2$ $2$ we will use borrowing to subtract

$0$ $0$ (tenths digit) $=$ $=$ borrow $1$ $1$ from $7$ $7$

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

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

$9$ $9$ $9$ $9$

$6$ $6$ $10$ $10$ $10$ $10$ $10$ $10$

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

$-$ $-$ $0$ $0$ $.$ $.$ $0$ $0$ $2$ $2$ $7$ $7$

$2$ $2$ $6$ $6$ $.$ $.$ $9$ $9$ $7$ $7$ $3$ $3$

The difference is $26.973$ $26.973$

$26.973$ $26.973$

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Quiz summary

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1. Question

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2. Question

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3. Question

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4. Question

Excellent!

Quizzes

	$1$ $1$	$8$ $8$	$.$ $.$	$0$ $0$	$0$ $0$	$2$ $2$
$+$ $+$	$2$ $2$	$3$ $3$	$.$ $.$	$1$ $1$	$4$ $4$	$0$ $0$
$+$ $+$		$5$ $5$	$.$ $.$	$0$ $0$	$6$ $6$	$0$ $0$

Carry Overs	$1$ $1$			$1$ $1$
$+$ $+$	$1$ $1$	$8$ $8$	$.$ $.$	$0$ $0$	$0$ $0$	$2$ $2$
$+$ $+$	$2$ $2$	$3$ $3$	$.$ $.$	$1$ $1$	$4$ $4$	$0$ $0$
$+$ $+$		$5$ $5$	$.$ $.$	$0$ $0$	$6$ $6$	$0$ $0$
	$4$ $4$	$6$ $6$	$.$ $.$	$2$ $2$	$0$ $0$	$2$ $2$

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

				$9$ $9$	$9$ $9$
		$6$ $6$		$10$ $10$	$10$ $10$	$10$ $10$
	$2$ $2$	$7$ $7$	$.$ $.$	$0$ $0$	$0$ $0$	$0$ $0$
$-$ $-$		$0$ $0$	$.$ $.$	$0$ $0$	$2$ $2$	$7$ $7$
	$2$ $2$	$6$ $6$	$.$ $.$	$9$ $9$	$7$ $7$	$3$ $3$