Common core multiplication - box method (grid method)

Common core multiplication

This method works by splitting each of the numbers into easy multiple sums.

Mnemonic depicting the common core multiplication method

Multiply your boxes by splitting them.

If you can remember this for life it will always help tremendously

Example 1

$614times5$

Split $614$ into easier numbers to multiply like $600$ and $10$ and $4$ .

Put them into boxes

For step by step

Answer: $614times5=3070$

Example 2

$56times552$

Split $56$ into easier numbers to multiply like $50$ and $6$ .

Split $552$ into easier numbers to multiply like $500$ and $50$ and $2$ .

Put them into boxes

For step by step

Answer: $56times552=30,912$

Example 3

$27times31$

Split $27$ into easier numbers to multiply like $20$ and $7$ .

Split $31$ into easier numbers to multiply like $30$ and $1$

Put them into boxes

For step by step

Answer: $27times31=837$


Now add everything up in the boxes

	$3$	$0$	$0$	$0$
			$5$	$0$
$+$			$2$	$0$
	$3,$	$0$	$7$	$0$


Now add everything up in the boxes

	$2$	$5,$	$0$	$0$	$0$
		$3,$	$0$	$0$	$0$
		$2,$	$5$	$0$	$0$
			$3$	$0$	$0$
$+$				$1$	$2$
	$3$	$0,$	$9$	$1$	$2$
		$1$


	$500$	$50$	$2$
$50$	$25,000$	$2,500$	$100$	Multiply $50$ into all the top numbers.
$6$				$50xx500,$ $50xx50,$ $50xx2$