Divide Decimals 3

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Year 10

Decimals

Divide Decimals

Divide Decimals 3

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Question 1 of 4

1. Question
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$470.06 \div 1000$ $470.06divide1000$
- (0.47006)
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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.

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

Therefore, $470.06 \div 1000$ $470.06divide1000$ is equal to $0.47006$ $0.47006$

$0.47006$ $0.47006$
Question 2 of 4

2. Question
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$0.296 \div 0.8$ $0.296divide0.8$
- (0.37)
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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 $10$ $10$ , simply move the decimal point $1$ $1$ place to the right.

$0.296$ $0.296$

$0.8$ $0.8$

$0.296 \times 10$ $0.296xx10$ $=$ $=$ $2.96$ $2.96$

$0.8 \times 10$ $0.8xx10$ $=$ $=$ $8$ $8$

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

$2.96$ $2.96$ $=$ $=$ $296$ $296$

$8$ $8$ goes into $29$ $29$ three times. So write $3$ $3$ above the line.

Multiply $3$ $3$ to $8$ $8$ and write the answer below $29$ $29$

Subtract $24$ $24$ from $29$ $29$ and write the answer one line below, and bring down the remaining digit $6$ $6$

$8$ $8$ goes into $56$ $56$ seven times. So write $7$ $7$ above the line.

Multiply $7$ $7$ to $8$ $8$ and write the answer below $56$ $56$

Since $7 \times 8 = 56$ $7xx8=56$ , there are no remainders in this division.

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

$2.96 =$ $2.96 =$ $2 places$ $2 \text(places)$

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

Therefore, the final quotient is $0.37$ $0.37$ .

$0.37$ $0.37$
Question 3 of 4

3. Question
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$4.125 \div 0.05$ $4.125divide0.05$
- (82.5)
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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.

$4.125$ $4.125$

$0.05$ $0.05$

$4.125 \times 100$ $4.125xx100$ $=$ $=$ $412.5$ $412.5$

$0.05 \times 100$ $0.05xx100$ $=$ $=$ $5$ $5$

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

$412.5$ $412.5$ $=$ $=$ $4125$ $4125$

$5$ $5$ goes into $41$ $41$ eight times. So write $8$ $8$ above the line.

Multiply $8$ $8$ to $5$ $5$ and write the answer below $41$ $41$

Subtract $40$ $40$ from $41$ $41$ and write the answer one line below, and bring down the next digit $2$ $2$

$5$ $5$ goes into $12$ $12$ two times. So write $2$ $2$ above the line.

Multiply $2$ $2$ to $5$ $5$ and write the answer below $12$ $12$

Subtract $10$ $10$ from $12$ $12$ and write the answer one line below, and bring down the remaining digit $5$ $5$

$5$ $5$ goes into $25$ $25$ five times. So write $5$ $5$ above the line.

Multiply $5$ $5$ to $5$ $5$ and write the answer below $25$ $25$

Since $5 \times 5 = 25$ $5xx5=25$ , there are no remainders in this division.

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

$412.5 =$ $412.5 =$ $1 place$ $1 \text(place)$

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

Therefore, the final quotient is $82.5$ $82.5$ .

$82.5$ $82.5$
Question 4 of 4

4. Question
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$0.7 \div 0.007$ $0.7divide0.007$
- (100)
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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.

$0.7$ $0.7$

$0.007$ $0.007$

$0.7 \times 1000$ $0.7xx1000$ $=$ $=$ $700$ $700$

$0.007 \times 1000$ $0.007xx1000$ $=$ $=$ $7$ $7$

Next, divide as you would whole numbers

$7$ $7$ goes into $700$ $700$ one hundred times. So write $100$ $100$ above the line.

Multiply $100$ $100$ to $7$ $7$ and write the answer below $29$ $29$

Since $100 \times 7 = 700$ $100xx7=700$ , there are no remainders in this division.

Therefore, the final quotient is $100$ $100$ .

$100$ $100$

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Quizzes

$0.296 \times 10$ $0.296xx10$	$=$ $=$	$2.96$ $2.96$
$0.8 \times 10$ $0.8xx10$	$=$ $=$	$8$ $8$

$4.125 \times 100$ $4.125xx100$	$=$ $=$	$412.5$ $412.5$
$0.05 \times 100$ $0.05xx100$	$=$ $=$	$5$ $5$

$0.7 \times 1000$ $0.7xx1000$	$=$ $=$	$700$ $700$
$0.007 \times 1000$ $0.007xx1000$	$=$ $=$	$7$ $7$