Calculations with Hundreds and Thousands

Question: What is the value of 2000 × 300 ?

Further Explanation

As before there is only one answer and it is completely logical! We will build on previous\par knowledge to get the answer; you know, for example, that}\par }

10 × 10 = 100

10 × 100 = 1 000

10 × 1 000 = 10 000

10 × 10 000 = 100 000

and so on. Hence it is easy to see that}\par }

100 × 1 000 = 10 × 10 × 1 000 = 10 × 10 000 = 100 000

and similarly

1000 × 100 = 100 000

We can use this result, but we first note that we can write 2000 and 300 as

2 000 = 2 × 1 000 and 300 = 3 × 100

This gives

2 000 × 300 = (2 × 1 000) × (3 × 100)

= 2 × 1 000 × 3 × 100

and, as the order of multiplication does not matter, we can rewrite this as

2 000 × 300 = 2 × 3 × 1 000 × 100

= (2 × 3) × (1 000 × 100)

= 6 × 100 000

= 600 000