Question

Yari says that the product of 230 x 10 to the 4 has four zeros. Is this statement:

a) True
b) False

Answer 1

Yari's statement is false because multiplying 230 by 10 to the 4 adds four zeros to the number, resulting in a total of six zeros, considering the two initial zeros in 230.

Step-by-step explanation:

The statement made by Yari that the product of 230 x 10 to the 4 has four zeros is false. Multiplying a number by 10 to the power of 4 means shifting its decimal point four places to the right. Let's break this down:

1. Start with the original number, which is 230.
2. Multiplying by 10 once would give us 2300 (one zero added).
3. Multiplying by 10 a second time would give us 23000 (two zeros added).
4. Continuing this pattern, multiplying by 10^4 (ten to the power of four) means we do this four times, resulting in 2300000, which indeed adds four zeros to the original number. However, because there were already two zeros in 230, the total number of zeros in the final product is six, not just four.

Therefore, the correct statement is that the product has six zeros at the end, not just four as Yari said.