Question

Product of 70 times 6000, use the associative and commutative properties to show how mark can calculate this product mentally

Answer 1

Whatever happened to just normal 70 times 6,000? The product is 420,000. If that was your question.

Answer 2

Answer:

$70\times 6000=420000$

Step-by-step explanation:

Given : Expression 'Product of 70 times 6000'.

To find : Calculate the product using associative and commutative properties?

Solution :

Associative property of multiplication,

$a\cdot (b\cdot c)=(a\cdot b)\cdot c$

Commutative property of multiplication,

$a\cdot b=b\cdot a$

Now, We solve the expression using properties

$70\times 6000=(7\times 10)\times (6\times 1000)$

$70\times 6000=7\times 10\times 6\times 1000$

Applying Commutative property,

$70\times 6000=7\times 6\times 10\times 1000$

Applying Associative property,

$70\times 6000=42\times (10\times 1000)$

$70\times 6000=42\times 10000$

$70\times 6000=420000$