Multiply 47 by 6 one digit at a time: multiply the ones, record any
carry, then multiply the tens and add the carry. Every digit
multiplication is shown step by step so you can see where each part
of the answer comes from.
Example
Multiply 47 by 6 using a long-multiplication board. Long multiplication breaks the work into one place value at a time: multiply the ones, then the tens, carrying any overflow into the next column. The board keeps these partial products aligned by place, so adding them up reassembles the full product without losing track of any digit.
highlighted = computed this step
Step 1 — Set up
Set up the multiplication board.
x x 4 7 × x x 6 x □ □ □ x □ □ □ \begin{array}{rrrr}\phantom{x}&\phantom{x}&4&7\\\times&\phantom{x}&\phantom{x}&6\\\hline\\\phantom{x}&\square&\square&\square\\\hline\\\phantom{x}&\square&\square&\square\end{array} x × x x x x □ □ 4 x □ □ 7 6 □ □ Set up 47 x 6 long multiplication board 4 7 x 6 -- -- -- -- -- -- ones column 6 x 7 = 42 write 2 ones, carry 4 tens tens column 6 x 4 tens = 24 tens 24 tens + carry 4 tens = 28 tens --
Step 2 — Ones partial
Ones digit 6: 7 x 6 = 42, write 2, carry 4; partial 282.
x x 4 x x x 4 7 × x x 6 x 2 8 2 x □ □ □ \begin{array}{rrrr}\phantom{x}&\phantom{x}&\hl{4}&\phantom{x}\\\phantom{x}&\phantom{x}&4&7\\\times&\phantom{x}&\phantom{x}&6\\\hline\\\phantom{x}&\hl{2}&\hl{8}&\hl{2}\\\hline\\\phantom{x}&\square&\square&\square\end{array} x x × x x x x x 2 □ 4 4 x 8 □ x 7 6 2 □ 6 x 7 = 42: write 2, carry 4 long multiplication board 4 carry 4 7 x 6 2 8 2 -- -- -- ones column 6 x 7 = 42 write 2 ones, carry 4 tens tens column 6 x 4 tens = 24 tens 24 tens + carry 4 tens = 28 tens --
Step 3 — Add partials
Add partials: 282 = 282.
x x 4 7 × x x 6 x 2 8 2 x 2 8 2 \begin{array}{rrrr}\phantom{x}&\phantom{x}&4&7\\\times&\phantom{x}&\phantom{x}&6\\\hline\\\phantom{x}&2&8&2\\\hline\\\phantom{x}&\hl{2}&\hl{8}&\hl{2}\end{array} x × x x x x 2 2 4 x 8 8 7 6 2 2 6 x 4 tens + carry 4 = 28 tens long multiplication board 4 carry 4 7 x 6 2 8 2 2 8 2 ones column 6 x 7 = 42 write 2 ones, carry 4 tens tens column 6 x 4 tens = 24 tens 24 tens + carry 4 tens = 28 tens --
Step 4 — Result
Read the complete product: 282.
x x 4 7 × x x 6 x 2 8 2 x 2 8 2 \begin{array}{rrrr}\phantom{x}&\phantom{x}&4&7\\\times&\phantom{x}&\phantom{x}&6\\\hline\\\phantom{x}&2&8&2\\\hline\\\phantom{x}&2&8&2\end{array} x × x x x x 2 2 4 x 8 8 7 6 2 2 47 x 6 = 282 long multiplication board 4 carry 4 7 x 6 2 8 2 2 8 2 ones column 6 x 7 = 42 write 2 ones, carry 4 tens tens column 6 x 4 tens = 24 tens 24 tens + carry 4 tens = 28 tens 282
partial-product
Multiplying each digit of the top number by the bottom digit gives one partial product; adds sum up to the final answer.
carry
When a digit product exceeds 9, the tens digit "carries" to the next column.