QuestionHow many times smaller is 184.36 than 9,027.83? Explain using place value.

Studdy Solution
Now, let's explain this using the concept of place value.The number9,027.83 has five digits before the decimal point, while184.36 has only three. This means that9,027.83 is two place values larger than184.36.In terms of place value, moving to the left by one place multiplies the number by10. So, moving two places to the left multiplies the number by $10 \times10 =100$.Therefore, we can say that184.36 is approximately100 times smaller than9,027.83 in terms of place value.However, the actual calculation shows that184.36 is approximately49 times smaller than9,027.83.This discrepancy is because the digits in9,027.83 are not all9s, and the digits in184.36 are not all1s. If that were the case, the place value approximation would be exact.