lesson
Updated 1 month ago · 8 views
Imagine your school orders 4 boxes of giant cookies, and every box holds 23 cookies. Figuring out 4×23 in your head might feel tricky, but you can split it into two easy facts you already know!
When we break a two-digit number into tens and ones and multiply each piece separately, each answer is called a partial product.
📊Interactive/visual area model diagram for 4 x 23. A large rectangle of height 4 is divided vertically into two sections: a wide blue section labeled '20' across the top with '4 x 20 = 80' inside, and a narrower orange section labeled '3' across the top with '4 x 3 = 12' inside. Below the rectangle, show a bracket combining both parts with '80 + 12 = 92'. Clean modern UI with cards, soft shadows, rounded corners, responsive to 350px width.
How do we write this down step-by-step on paper?
Splitting by Place Value
First, break the two-digit number into expanded form. For 23, that is 20+3.
Next, multiply the single digit by each part: 4×20=80 and 4×3=12.
Finally, add those two parts together: 80+12=92.
📊Step-by-step vertical partial products calculation display. Top shows '23' over 'x 4' with a line underneath. Below the line, Step 1 shows '80' highlighted in blue with an annotation '(4 x 20 tens)'. Step 2 shows '12' highlighted in orange directly below the 80 with an annotation '(4 x 3 ones)'. A plus sign and bottom line lead to the final sum '92'. Use clear column alignment for tens and ones places.
What is the easiest mistake to make when multiplying the tens?
Watch Out for the Tens Value
A common mistake is thinking the digit 2 in 23 is just 2, giving 4×2=8 instead of 80.
Always remember: the 2 is in the tens place, so it means 2 tens, or 20!