Using Multiples of 100 as an Anchor for Addition

Question

Strategy #3: Using Multiples of 100 as an Anchor
Josh had 304 songs on his music player. He downloaded 23 more songs. How many songs are on his music player now?
_ + 23 = ?
Estimate.
300 + 20 = _
Add. Use 300 as an auchor.
300 + 4 + _ =
300 + 27 = _
327 is close to our estimate of 320. So 327 seems like a reasonable answer.

Answer 1

Let's break down the problem step by step using multiples of 100 as an anchor for addition.

1. Starting Point: Josh had 304 songs on his music player and he downloaded 23 more songs.

   We can set up our equation as: \[ 304 + 23 = ? \]

2. Estimate: To estimate the total, we round 304 to the nearest hundred, which is 300, and we round 23 to the nearest ten, which is 20. \[ 300 + 20 = 320 \] Therefore, our estimate for the total number of songs is 320.

3. Adding using 300 as an Anchor: Now, let's add the actual numbers using 300 as our anchor:

   • First, we find out how much we've added to 300.
   • Since 304 is 4 more than 300, we can express the addition as: \[ 300 + 4 + 23 = ? \]

4. Breaking down the addition: We add the smaller numbers:

   • First, add 4 and 23: \[ 4 + 23 = 27 \]

5. Final Calculation: Now we add 27 to 300: \[ 300 + 27 = 327 \]

6. Conclusion: So, the total number of songs on Josh's music player now is: \[ 327 \] This total of 327 is indeed close to our estimate of 320, confirming that our calculations are reasonable.

Thus, the final answer is that Josh now has 327 songs on his music player.