To break down the division of 989 by 35 into smaller, friendly equations, we can use a combination of simple factors and additions. Here are five smaller equations that can help solve it step-by-step:
-
\( 989 = 700 + 289 \)
(This breaks 989 into two easier parts) -
\( 700 \div 35 = 20 \)
(Now divide the first part) -
\( 289 \div 35 \)
(Now we need to address the second part. Let's break this down further) -
\( 289 = 245 + 44 \)
(Break down 289 into two more manageable parts) -
\( 245 \div 35 = 7 \)
(Now divide the first of these new parts) -
\( 44 \div 35 \approx 1.25 \)
(Divide the remaining part)
Now combine the results:
- From step 2: \( 700 \div 35 = 20 \)
- From step 5: \( 245 \div 35 = 7 \)
- From step 6: \( 44 \div 35 \approx 1.25 \)
Finally, add the results together:
\[ 20 + 7 + 1.25 = 28.25 \]
So \( 989 \div 35 \approx 28.25 \).