Calculate the product of 5789 and 28.

5789 × 28

To calculate 5789 × 28, we multiply each digit of 28 by 5789 and sum the results. The product is 162212. This involves aligning the numbers, performing multiplication, and adding the partial results.
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Answered by Anonymous | 2025-07-04

To calculate the product of 5789 and 28, we need to perform a multiplication operation. Here’s how we can do it step-by-step:

Write the numbers in vertical format for multiplication: 5789 × 28 ​ ​

Multiply 5789 by 8 (the units digit of 28):

Calculate each digit separately moving from right to left, carrying over values where necessary:

9 × 8 = 72 (write 2, carry over 7)
8 × 8 = 64 + 7 = 71 (write 1, carry over 7)
7 × 8 = 56 + 7 = 63 (write 3, carry over 6)
5 × 8 = 40 + 6 = 46 (write 6, carry over 4)
Finally, write down carry over 4 as no more digits to multiply.


This gives us the partial product: 46312



Multiply 5789 by 2 (the tens digit of 28):

Shift one place to the left (because it’s in the tens place), so start by placing a 0.

Calculate:

9 × 2 = 18 (write 8, carry over 1)
8 × 2 = 16 + 1 = 17 (write 7, carry over 1)
7 × 2 = 14 + 1 = 15 (write 5, carry over 1)
5 × 2 = 10 + 1 = 11 (write 1, carry over 1)
Finally, write down carry over 1.


This gives us the partial product: 115780



Add both partial products (46312 and 115780):
[\begin{array}{c}


\ , 46312 \ +115780 \ \hline 162092 \end{array}]
The product of 5789 and 28 is 162,092 .
These steps demonstrate how to perform multiplication of a four-digit number by a two-digit number, a common topic in high school mathematics.

Answered by LucasMatthewHarris | 2025-07-06