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what could you divide and then multiply by to go from the first number …

Question

what could you divide and then multiply by to go from the first number to the second? first number: 110 second number: 44 answer attempt 1 out of 2 to get to 1, divide 110 by 110. from 1, multiply by 44 to get to 44. or, in a single step, multiply 110 by to get to 44.

Explanation:

Step1: Find the multiplier

Let the multiplier be \( x \). We know that \( 110\times x = 44 \). To find \( x \), we solve for \( x \) by dividing both sides of the equation by 110. So \( x=\frac{44}{110} \). Simplifying \( \frac{44}{110} \), we divide numerator and denominator by 22, getting \( \frac{2}{5}=0.4 \).

Step2: Verify the two - step process (optional but for understanding)

  • To get to 1 from 110, we divide 110 by 110 (since \( \frac{110}{110} = 1 \)).
  • Then, to get from 1 to 44, we multiply 1 by 44 (since \( 1\times44 = 44 \)). And for the single - step, multiplying 110 by \( \frac{44}{110}=\frac{2}{5} \) (or 0.4) gives 44.

Answer:

For the single - step, the number to multiply 110 by is \( \frac{2}{5} \) (or 0.4). For the two - step, we divide 110 by 110 and then multiply by 44.