Use mental math to find the missing factor. 33,000÷□=110 (1 point) Responses 30 30 300 300 330 330 3,000

1 answer

To find the missing factor in the equation \( 33,000 \div \Box = 110 \), we can rearrange the equation:

\[ \Box = \frac{33,000}{110} \]

Now, let's simplify \( \frac{33,000}{110} \):

  1. Divide both the numerator and denominator by 10 to make it easier: \[ \frac{33,000 \div 10}{110 \div 10} = \frac{3,300}{11} \]

  2. Now, perform the division \( 3,300 \div 11 \). We can break it down:

    • \( 11 \times 3 = 33 \) (gives us 330).
    • \( 11 \times 30 = 330 \) (gives us 3,300).

Thus:

\[ 3,300 \div 11 = 300 \]

So, \( \Box = 300 \). Therefore, the missing factor is:

300