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2.07 Multiplying and dividing decimals

Interactive practice questions

Consider the following multiplications, and state whether the answer is greater than both numbers, less than both numbers, or has a value in between the two numbers.

a

$3\cdot5$3·5

Greater than both numbers.

A

Less than both numbers.

B

In between the two numbers.

C
b

$3\cdot0.5$3·0.5

Greater than both numbers.

A

Less than both numbers.

B

In between the two numbers.

C
c

$0.3\cdot0.5$0.3·0.5

Greater than both numbers.

A

Less than both numbers.

B

In between the two numbers.

C
d

Hence, when is the product of two numbers always in between the two numbers?

When both numbers are greater than $1$1.

A

When both numbers are less than $1$1.

B

When only one of the numbers is less than $1$1.

C
e

When is the product of two numbers always less than both numbers?

When both numbers are less than $1$1.

A

When only one of the numbers is less than $1$1.

B

When both numbers are greater than $1$1.

C
Easy
1min

Calculate the following products.

Easy
< 1min

Find $0.6\cdot0.3$0.6·0.3, giving your answer as a decimal.

Easy
< 1min

Find $2.2\cdot4$2.2·4, giving your answer as a decimal.

Easy
< 1min
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Outcomes

6.NS.3.b

Solve division problems in which both the dividend and the divisor are multi-digit decimals; develop the standard algorithm by using models, the meaning of division, and place value understanding.

6.NS.3

Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

6.NS.3.a

Fluently divide multi-digit decimals using the standard algorithm, limited to a whole number dividend with a decimal divisor or a decimal dividend with a whole number divisor.

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