Multiply Decimals 2

Years

Year 7

Decimals

Multiply Decimals

Multiply Decimals 2

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Question 1 of 5

1. Question
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$0.37 \times 1000$ $0.37xx1000$
- (370)
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When multiplying decimals to values like $10, 100, 1000 \dots$ $10, 100, 1000…$ , simply move the decimal point to the right by the number of zeroes.

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

Therefore, $0.37 \times 1000$ $0.37xx1000$ is equal to $370$ $370$

$370$ $370$
Question 2 of 5

2. Question
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$1000 \times 1.02$ $1000xx1.02$
- (1020)
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When multiplying decimals to values like $10, 100, 1000 \dots$ $10, 100, 1000…$ , simply move the decimal point to the right by the number of zeroes.

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

Therefore, $1000 \times 1.02$ $1000xx1.02$ is equal to $1020$ $1020$

$1020$ $1020$
Question 3 of 5

3. Question
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$100 \times 75.1$ $100xx75.1$
- (7510)
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When multiplying decimals to values like $10, 100, 1000 \dots$ $10, 100, 1000…$ , simply move the decimal point to the right by the number of zeroes.

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

Therefore, $100 \times 75.1$ $100xx75.1$ is equal to $7510$ $7510$

$7510$ $7510$
Question 4 of 5

4. Question
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$0.9 \times 0.06$ $0.9xx0.06$
- (0.054)
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First, ignore the decimal points of the two values and multiply them

$0.9$ $0.9$ $=$ $=$ $9$ $9$

$0.06$ $0.06$ $=$ $=$ $6$ $6$

$9 \times 6$ $9xx6$ $=$ $=$ $54$ $54$

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

$0.9 =$ $0.9 =$ $1 place$ $1 \text(place)$

$0.06 =$ $0.06 =$ $2 places$ $2 \text(places)$

There are a total of $3$ $3$ place value movements to the right of the decimal point.

Finally, get the final product by moving the decimal point of the initial product $3$ $3$ places to the left.

Therefore, the final product is $0.054$ $0.054$ .

$0.054$ $0.054$
Question 5 of 5

5. Question
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$12.24 \times 0.05$ $12.24xx0.05$
- (0.612)
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First, ignore the decimal points of the two values and multiply them

$12.24$ $12.24$ $=$ $=$ $1224$ $1224$

$0.05$ $0.05$ $=$ $=$ $5$ $5$

$1224 \times 5$ $1224xx5$ $=$ $=$ $6120$ $6120$

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

$12.24 =$ $12.24 =$ $2 places$ $2 \text(places)$

$0.05 =$ $0.05 =$ $2 places$ $2 \text(places)$

There are a total of $4$ $4$ place value movements to the right of the decimal point.

Finally, get the final product by moving the decimal point of the initial product $4$ $4$ places to the left.

Therefore, the final product is $0.612$ $0.612$ .

$0.612$ $0.612$

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Quiz summary

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1. Question

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2. Question

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Fantastic!

3. Question

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Correct!

4. Question

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Excellent!

5. Question

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Well Done!

Quizzes

$12.24$ $12.24$	$=$ $=$	$1224$ $1224$
$0.05$ $0.05$	$=$ $=$	$5$ $5$

$0.9$ $0.9$	$=$ $=$	$9$ $9$
$0.06$ $0.06$	$=$ $=$	$6$ $6$