Multiply numbers ending in zeroes

key notes:

Understand the Concept of Zeroes:

  • Numbers ending in zeroes are multiples of 10, 100, 1000, etc.
  • For example, 40, 200, and 3000 are numbers ending in zeroes.

Simplify the Multiplication:

  • Remove the zeroes from the numbers and multiply the remaining parts.
  • For instance, to multiply 30 by 40, first multiply 3 by 4 to get 12.
  • Then, add the zeroes back to the result. Since there are two zeroes in total (one in 30 and one in 40), the final result is 1200.

Steps for Multiplying:

  • Step 1: Ignore the zeroes in the numbers.
  • Step 2: Multiply the non-zero parts.
  • Step 3: Count the total number of zeroes in both numbers.
  • Step 4: Add the zeroes to the end of the product from Step 2.

Examples:

  • Example 1: 50 × 30
    • Ignore the zeroes: 5 × 3 = 15
    • There are two zeroes in total.
    • So, 50 × 30 = 1500
  • Example 2: 200 × 400
    • Ignore the zeroes: 2 × 4 = 8
    • There are four zeroes in total.
    • So, 200 × 400 = 80000

Learn with an example

Multiply:

4,000 × 6 =

We ignore the zeros that 4000 had and multiply the two numbers,

4 × 6=24

Now, we just add the 3 zeros that the number 4000 had to get:

24,000

Multiply:

40 × 9 =

First, multiply the non-zero parts of the numbers:

4 × 9 = 36

Now add back the zeros at the end:

360

Multiply:

20 × 7 = 

First, multiply the non-zero parts of the numbers:

2 × 7 = 14

Now add back the zeros at the end:

140

Let’s practice!🖊️