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solve. show your work. 9. a baseball league had 41,384 hits in the fall…

Question

solve. show your work.

  1. a baseball league had 41,384 hits in the fall season and 42,215 hits the spring season. how many more hits did the league have in the spring season?

Explanation:

Identify the given values

We are given:

  • Fall season hits: \(41,384\)
  • Spring season hits: \(42,215\)

Determine the operation

Using the Word Problems concept, we find the difference to see how many more hits occurred in spring.
We subtract the smaller number from the larger number:

$$42,215 - 41,384$$

Align the place values

Using the Multi-digit Subtraction concept, we align the numbers vertically by their place values:

$$ LATEXBLOCK0 $$

Subtract column by column

We subtract starting from the ones place, regrouping where necessary:

  • Ones: \(5 - 4 = 1\)
  • Tens: \(1 - 8\) requires regrouping. Borrow \(1\) hundred from \(2\) hundreds (leaving \(1\) hundred) to make \(11\) tens. Then, \(11 - 8 = 3\).
  • Hundreds: \(1 - 3\) requires regrouping. Borrow \(1\) thousand from \(2\) thousands (leaving \(1\) thousand) to make \(11\) hundreds. Then, \(11 - 3 = 8\).
  • Thousands: \(1 - 1 = 0\)
  • Ten-thousands: \(4 - 4 = 0\)

This gives:

$$42,215 - 41,384 = 831$$

Answer:

The league had 831 more hits in the spring season.