What is What is the units digit of 22023 × 32023? ?

The solution to What is the units digit of 22023 × 32023? is 705242529

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What is the units digit of 22023 × 32023?

Solution

long multiplication

22023 \cdot 32023

Solution

705242529

Solution steps

22023 \cdot 32023

Line up the numbers

\times 2322002233

Multiply the top number by the bottom number one digit at a time starting with the ones digit (from right to left)

Multiply the top number by the bolded digit of the bottom number

\times 2322002233

Mutliply the bold numbers:

3 \cdot 3 = 9

\frac{\times 2 3 2 2 0 0 2 2 3 3}{9}

Mutliply the bold numbers:

2 \cdot 3 = 6

\frac{\times 2 3 2 2 0 0 2 2 3 3}{6 9}

Mutliply the bold numbers:

0 \cdot 3 = 0

\frac{\times 2 3 2 2 0 0 2 2 3 3}{0 6 9}

Mutliply the bold numbers:

2 \cdot 3 = 6

\frac{\times 2 3 2 2 0 0 2 2 3 3}{6 0 6 9}

Mutliply the bold numbers:

2 \cdot 3 = 6

\frac{\times 2 3 2 2 0 0 2 2 3 3}{6 6 0 6 9}

Multiply the top number by the bolded digit of the bottom number

\frac{\times 2 3 2 2 0 0 2 2 3 3}{6 6 0 6 9}

Mutliply the bold numbers:

3 \cdot 2 = 6

\frac{\times 2 3 2 2 0 0 2 2 3 3}{6 6 0 6 6 9}

Mutliply the bold numbers:

2 \cdot 2 = 4

\frac{\times 2 3 2 2 0 0 2 2 3 3}{6 6 0 4 6 6 9}

Mutliply the bold numbers:

0 \cdot 2 = 0

\frac{\times 2 3 2 2 0 0 2 2 3 3}{6 6 0 0 4 6 6 9}

Mutliply the bold numbers:

2 \cdot 2 = 4

\frac{\times 2 3 2 2 0 0 2 2 3 3}{6 4 6 0 0 4 6 6 9}

Mutliply the bold numbers:

2 \cdot 2 = 4

\frac{\times 2 3 2 2 0 0 2 2 3 3}{4 6 4 6 0 0 4 6 6 9}

Multiply the top number by the bolded digit of the bottom number

\frac{\times 2 3 2 2 0 0 2 2 3 3}{4 6 4 6 0 0 4 6 6 9}

Mutliply the bold numbers:

3 \cdot 0 = 0

\frac{\times 2 3 2 2 0 0 2 2 3 3}{4 6 4 6 0 0 4 0 6 6 9}

Mutliply the bold numbers:

2 \cdot 0 = 0

\frac{\times 2 3 2 2 0 0 2 2 3 3}{4 6 4 6 0 0 0 4 0 6 6 9}

Mutliply the bold numbers:

0 \cdot 0 = 0

\frac{\times 2 3 2 2 0 0 2 2 3 3}{4 6 4 0 6 0 0 0 4 0 6 6 9}

Mutliply the bold numbers:

2 \cdot 0 = 0

\frac{\times 2 3 2 2 0 0 2 2 3 3}{4 0 6 4 0 6 0 0 0 4 0 6 6 9}

Mutliply the bold numbers:

2 \cdot 0 = 0

\frac{\times 2 3 2 2 0 0 2 2 3 3}{0 4 0 6 4 0 6 0 0 0 4 0 6 6 9}

Multiply the top number by the bolded digit of the bottom number

\frac{\times 2 3 2 2 0 0 2 2 3 3}{0 4 0 6 4 0 6 0 0 0 4 0 6 6 9}

Mutliply the bold numbers:

3 \cdot 2 = 6

\frac{\times 2 3 2 2 0 0 2 2 3 3}{0 4 0 6 4 0 6 0 0 6 0 4 0 6 6 9}

Mutliply the bold numbers:

2 \cdot 2 = 4

\frac{\times 2 3 2 2 0 0 2 2 3 3}{0 4 0 6 4 0 4 6 0 0 6 0 4 0 6 6 9}

Mutliply the bold numbers:

0 \cdot 2 = 0

\frac{\times 2 3 2 2 0 0 2 2 3 3}{0 4 0 0 6 4 0 4 6 0 0 6 0 4 0 6 6 9}

Mutliply the bold numbers:

2 \cdot 2 = 4

\frac{\times 2 3 2 2 0 0 2 2 3 3}{0 4 4 0 0 6 4 0 4 6 0 0 6 0 4 0 6 6 9}

Mutliply the bold numbers:

2 \cdot 2 = 4

\frac{\times 2 3 2 2 0 0 2 2 3 3}{4 0 4 4 0 0 6 4 0 4 6 0 0 6 0 4 0 6 6 9}

Multiply the top number by the bolded digit of the bottom number

\frac{\times 2 3 2 2 0 0 2 2 3 3}{4 0 4 4 0 0 6 4 0 4 6 0 0 6 0 4 0 6 6 9}

Mutliply the bold numbers:

3 \cdot 3 = 9

\frac{\times 2 3 2 2 0 0 2 2 3 3}{4 0 4 4 0 0 6 4 0 4 9 6 0 0 6 0 4 0 6 6 9}

Mutliply the bold numbers:

2 \cdot 3 = 6

\frac{\times 2 3 2 2 0 0 2 2 3 3}{4 0 4 4 0 0 6 6 4 0 4 9 6 0 0 6 0 4 0 6 6 9}

Mutliply the bold numbers:

0 \cdot 3 = 0

\frac{\times 2 3 2 2 0 0 2 2 3 3}{4 0 4 0 4 0 0 6 6 4 0 4 9 6 0 0 6 0 4 0 6 6 9}

Mutliply the bold numbers:

2 \cdot 3 = 6

\frac{\times 2 3 2 2 0 0 2 2 3 3}{4 6 0 4 0 4 0 0 6 6 4 0 4 9 6 0 0 6 0 4 0 6 6 9}

Mutliply the bold numbers:

2 \cdot 3 = 6

\frac{\times 2 3 2 2 0 0 2 2 3 3}{6 4 6 0 4 0 4 0 0 6 6 4 0 4 9 6 0 0 6 0 4 0 6 6 9}

Add the rows to get the answer. For simplicity, fill in trailing zeros

\frac{\times 2 3 2 2 0 0 2 2 3 3}{0 0 0 0 6 0 0 0 4 6 0 0 0 4 0 0 4 0 0 6 6 4 0 4 9 6 0 0 6 0 0 4 0 0 0 6 6 0 0 0 9 0 0 0 0}

66069 + 440460 + 0 + 44046000 + 660690000 = 705242529

= 705242529

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Frequently Asked Questions (FAQ)

What is What is the units digit of 22023 × 32023? ?
The solution to What is the units digit of 22023 × 32023? is 705242529