“zero times infinity is zero”


question : “what is 1 × 2?”

answer :

step 1 :

“draw a vertical line of length 1...”

step 2 :

“draw a horizontal line of length 1, from the point at the bottom of the first line, toward the left ...”

step 3 :

“draw a diagonal line, from the left end point of the second line, through the top end point of the first line, and on toward the edge of the page ...”

step 4 :

“draw a horizontal line of length 2, from the left end point of the second line, over and through the right end point of the second line ...”

step 5 :

“draw a vertical line from the right end point of the last line drawn, up toward the edge of the page...”

step 6 :

“finally, measure the distance from the bottom end point of the last vertical line, up to the point where it crosses the diagonal line...”

    0    1    21×2=2

question : “what is 3 × 4?”

answer :

step 1 :

“draw a vertical line of length 3...”

step 2 :

“draw a horizontal line of length 1, from the point at the bottom of the first line, toward the left ...”

step 3 :

“draw a diagonal line, from the left end point of the second line, through the top end point of the first line, and on toward the edge of the page ...”

step 4 :

“draw a horizontal line of length 4, from the left end point of the second line, over and through the right end point of the second line ...”

step 5 :

“draw a vertical line from the right end point of the last line drawn, up toward the edge of the page...”

step 6 :

“finally, measure the distance from the bottom end point of the last vertical line, up to the point where it crosses the diagonal line...”

3×4=12 0 1 2 3 4 5 6 7 8 9101112

examples : “½ × 4 = 2” ... “4 × ½ = 2”

    0    1    2½×4=2 ...     0    1    24×½=2

examples : “½ × 2 = 1” ... “2 × ½ = 1”

    0    1½×2=1 ...     0    12×½=1

examples : “½ × 1 = ½” ... “1 × ½ = ½”

    0½×1=½ ...     01×½=½

examples : “0 × 1 = 0” ... “1 × 0 = 0” ... ... “0 × Infinity = 0”

    00×1=0 ...     01×0=0

    00×2=0 ...     02×0=0

    00×4=0 ...     04×0=0

    00×=0 ...     0×0=0