Question

another look!
one way to find the product of 12×24 is to use an array.
draw an array on a grid. divide the array into tens and ones
for each factor. find the number of squares in each smaller
rectangle. then add the numbers of squares in the four
smaller rectangles.
additional
practice 4 - 4
use arrays to
multiply 2 - digit by
2 - digit numbers
so, 12×24 = 288.
for 1 - 4, find each product. use the arrays drawn on grids to help.

1. 26×18
2. 23×23

Explanation:

Step1: Divide the factors into tens and ones

For \(26\times18\), \(26 = 20+6\) and \(18=10 + 8\).
For \(23\times23\), \(23=20 + 3\) and \(23=20+3\).

Step2: Calculate the four partial - products

• For \(26\times18\):
• \(20\times10=200\)
• \(20\times8 = 160\)
• \(6\times10=60\)
• \(6\times8=48\)
• For \(23\times23\):
• \(20\times20 = 400\)
• \(20\times3=60\)
• \(3\times20=60\)
• \(3\times3 = 9\)

Step3: Sum up the partial - products

• For \(26\times18\):

$$
LATEXBLOCK0
$$

• For \(23\times23\):

$$
LATEXBLOCK1
$$

Answer:

1. \(26\times18 = 468\)
2. \(23\times23=529\)