Solve: 1.23 × 110 Decimal Multiplication Problem

Question

$1.23\times110=\text{ ?}$

00:00 Solve

00:03 Multiply each digit by each digit, and place in the appropriate position

00:07 Any number multiplied by 0 always equals 0

00:11 Move on to multiply by the next digit, place in the appropriate position

00:17 Any number multiplied by 1 always equals itself

00:25 Connect between the results

00:28 Move on to multiply by the next digit, place in the appropriate position

00:31 Any number multiplied by 1 always equals itself

00:35 Connect between the results

00:41 Count the sum of digits after the decimal point

00:45 Based on this sum, position the decimal point

00:54 And this is the solution to the question

We will use the distributive property to split 110 into two numbers—100 and 10.

Now we will multiply the original number (1.23) by these two numbers:

1.23*100=123

1.23*10=12.3

All that is left to do is to add the two products together to get our answer:

123 + 12.3 = 135.3

$135.3$