Divide Decimals 4

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Pre - Algebra

Decimals

Divide Decimals

Divide Decimals 4

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Question 1 of 4

1. Question
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$\frac{50}{1000}$ $50/1000$
- (0.05)
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When dividing decimals to values like $10, 100, 1000 \dots$ $10, 100, 1000…$ , simply move the decimal point to the left by the number of zeroes.

The fraction can be represented as:

$\frac{50}{1000}$ $50/1000$ $=$ $=$ $50 \div 1000$ $50divide1000$

Since the decimal is being divided by $1000$ $1000$ , simply move the decimal point $3$ $3$ places to the left.

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

Therefore, $50 \div 1000$ $50divide1000$ is equal to $0.05$ $0.05$

$0.05$ $0.05$
Question 2 of 4

2. Question
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$0.376 \div 0.4$ $0.376divide0.4$
- (0.94)
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First, turn the divisor into a whole number by multiplying both values by $10$ $10$

Since the decimal is being multiplied by $100$ $100$ , simply move the decimal point $1$ $1$ place to the right.

$0.376$ $0.376$

$0.4$ $0.4$

$0.376 \times 10$ $0.376xx10$ $=$ $=$ $3.76$ $3.76$

$0.4 \times 10$ $0.4xx10$ $=$ $=$ $4$ $4$

Next, ignore the decimal points of the two values and divide them

$3.76$ $3.76$ $=$ $=$ $376$ $376$

$4$ $4$ goes into $37$ $37$ nine times. So write $9$ $9$ above the line.

Multiply $9$ $9$ to $4$ $4$ and write the answer below $37$ $37$

Subtract $36$ $36$ from $37$ $37$ and write the answer one line below, and bring down the last digit $6$ $6$

$4$ $4$ goes into $16$ $16$ four times. So write $4$ $4$ above the line.

Multiply $4$ $4$ to $4$ $4$ and write the answer below $16$ $16$

Since $4 \times 4 = 16$ $4xx4=16$ , there are no remainders in this division.

Finally, count how many place values from the decimal point to the right of the two values.

$3.76 =$ $3.76 =$ $2 places$ $2 \text(places)$

Get the final quotient by moving the decimal point of the initial quotient $2$ $2$ places to the left.

Therefore, the final quotient is $0.94$ $0.94$ .

$0.94$ $0.94$
Question 3 of 4

3. Question
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$0.018 \div 0.09$ $0.018divide0.09$
- (0.2)
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First, turn the divisor into a whole number by multiplying both values by $100$ $100$

Since the decimal is being multiplied by $100$ $100$ , simply move the decimal point $2$ $2$ places to the right.

$0.018$ $0.018$

$0.09$ $0.09$

$0.018 \times 100$ $0.018xx100$ $=$ $=$ $1.8$ $1.8$

$0.09 \times 100$ $0.09xx100$ $=$ $=$ $9$ $9$

Next, ignore the decimal points of the two values and divide them

$1.8$ $1.8$ $=$ $=$ $18$ $18$

$9$ $9$ goes into $18$ $18$ two times. So write $2$ $2$ above the line.

Multiply $2$ $2$ to $9$ $9$ and write the answer below $18$ $18$

Since $2 \times 9 = 18$ $2xx9=18$ , there are no remainders in this division.

Finally, count how many place values from the decimal point to the right of the two values.

$1.8 =$ $1.8 =$ $1 place$ $1 \text(place)$

Get the final quotient by moving the decimal point of the initial quotient $1$ $1$ place to the left.

Therefore, the final quotient is $0.2$ $0.2$ .

$0.2$ $0.2$
Question 4 of 4

4. Question
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$6.36 \div 0.006$ $6.36divide0.006$
- (1060)
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First, turn the divisor into a whole number by multiplying both values by $1000$ $1000$

Since the decimal is being multiplied by $1000$ $1000$ , simply move the decimal point $3$ $3$ places to the right.

$6.36$ $6.36$

$0.006$ $0.006$

$6.36 \times 1000$ $6.36xx1000$ $=$ $=$ $6360$ $6360$

$0.006 \times 1000$ $0.006xx1000$ $=$ $=$ $6$ $6$

Next, divide as you would whole numbers

$6$ $6$ goes into $63$ $63$ ten times. So write $10$ $10$ above the line.

Multiply $10$ $10$ to $6$ $6$ and write the answer below $63$ $63$

Subtract $60$ $60$ from $63$ $63$ and write the answer one line below, and bring down the remaining digits $6$ $6$ and $0$ $0$

$6$ $6$ goes into $360$ $360$ sixty times. So write $60$ $60$ above the line.

Multiply $60$ $60$ to $6$ $6$ and write the answer below $360$ $360$

Since $60 \times 6 = 360$ $60xx6=360$ , there are no remainders in this division.

Therefore, the final quotient is $1060$ $1060$ .

$1060$ $1060$

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Quizzes

$0.376 \times 10$ $0.376xx10$	$=$ $=$	$3.76$ $3.76$
$0.4 \times 10$ $0.4xx10$	$=$ $=$	$4$ $4$

$0.018 \times 100$ $0.018xx100$	$=$ $=$	$1.8$ $1.8$
$0.09 \times 100$ $0.09xx100$	$=$ $=$	$9$ $9$

$6.36 \times 1000$ $6.36xx1000$	$=$ $=$	$6360$ $6360$
$0.006 \times 1000$ $0.006xx1000$	$=$ $=$	$6$ $6$