Questions: Estimate each difference by rounding. 1. 94 - 75 2. 785 - 68

Estimate each difference by rounding. 1. 94 - 75 2. 785 - 68
Transcript text: Estimate each difference by rounding. 1. $\begin{array}{r}94 \\ -75 \\ \hline\end{array}$ 2. $\begin{array}{r}785 \\ -\quad 68 \\ \hline\end{array}$
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Solution

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Solution Steps

Solution Approach
  1. To estimate the difference between 94 and 75, round each number to the nearest ten and then subtract the rounded values.
  2. To estimate the difference between 785 and 68, round each number to the nearest ten and then subtract the rounded values.
Step 1: Round Each Number to the Nearest Ten

For the first problem, we have the numbers 94 and 75. We round each number to the nearest ten:

  • \( 94 \) rounds to \( 90 \)
  • \( 75 \) rounds to \( 80 \)

For the second problem, we have the numbers 785 and 68. We round each number to the nearest ten:

  • \( 785 \) rounds to \( 780 \)
  • \( 68 \) rounds to \( 70 \)
Step 2: Subtract the Rounded Values

For the first problem, subtract the rounded values: \[ 90 - 80 = 10 \]

For the second problem, subtract the rounded values: \[ 780 - 70 = 710 \]

Final Answer

\(\boxed{10}\)

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