Jane says that multiply a decimal by 100 is the same as multiplying the decimal by three factors of 10. Is Jane correct? Explain your answer.

Respuesta :

Jane is incorrect, this is because 3 factors of ten equals 1000(10*10*10=1000) and 100 is not equal to 1000 meaning you are not multiplying by the same number.

Answer:

Jane is incorrect.

Step-by-step explanation:

We have been given a statement. We are asked to determine whether the given statement is true or not.

Jane says that multiply a decimal by 100 is the same as multiplying the decimal by three factors of 10.

[tex]\text{3 factor of 10}=10^3[/tex]    

[tex]\text{3 factor of 10}=10\times 10\times 10[/tex]

[tex]\text{3 factor of 10}=1000[/tex]

When we multiply a decimal by 100, it will move the decimal to two digits to right and multiplying a number by 1000 will the decimal to three digits to right.

Therefore, Jane is incorrect.