Which of these procedures is NOT the same as multiplying a whole number by $\newline$ $100$ ? $\newline$ Add $100$ to the whole number, ten times. $\newline$ Move each digit of the whole number two places to the left and fill in the blank places with zeros. $\newline$ Multiply the whole number by $10$ , two times. $\newline$ Move the decimal point two places to the right and fill in the blank places with zeros.

Full solution

Q. Which of these procedures is NOT the same as multiplying a whole number by

\newline

100

\newline

Add

100

to the whole number, ten times.

\newline

Move each digit of the whole number two places to the left and fill in the blank places with zeros.

\newline

Multiply the whole number by

10

, two times.

\newline

Move the decimal point two places to the right and fill in the blank places with zeros.

Apply Rule of Moving Digits: To multiply a whole number by $100$ , we can apply the rule of moving each digit two places to the left, which is equivalent to multiplying by $10$ twice (since $10 \times 10 = 100$ ). Let's evaluate each option to see which one does not equate to multiplying by $100$ .
Option $1$ : Add $100$ Ten Times: Option $1$ : Add $100$ to the whole number, ten times. This is equivalent to adding $1000$ to the number, not multiplying it by $100$ . Therefore, this procedure is not the same as multiplying by $100$ .
Option $2$ : Move Digits Left: Option $2$ : Move each digit of the whole number two places to the left and fill in the blank places with zeros. This is the standard procedure for multiplying a whole number by $100$ , so this option is correct.
Option $3$ : Multiply by $10$ Twice: Option $3$ : Multiply the whole number by $10$ , two times. Multiplying by $10$ twice is the same as multiplying by $100$ ( $10 \times 10 = 100$ ), so this option is also correct.
Option $4$ : Move Decimal Point Right: Option $4$ : Move the decimal point two places to the right and fill in the blank places with zeros. This is another way of describing the process of multiplying by $100$ , so this option is correct as well.