Fill in the blanks!

Using Multiples of 10 as an Anchor for addition
Strategy #4: Using Multiples of 10 as an Anchor
Jin volunteers at a local pet shelter. The shelter currently has 56 cats and 44 dogs.
If each of those animals has its own crate, how many crates are in use?

Notice that 56 is just 4 away from 60.
56 -> 60
+44 +40
------------
_______ -> estimate

56 + _ + 40
_ + 40 = 100

In this case, our answer is the same as our estimate.
We get the same answer if we added these numbers up in the traditional way.

1
56
+44
------
_____

1 answer

Let's fill in the blanks step by step using the multiples of 10 as an anchor for addition.

  1. Estimation:

    • \( 56 \) is \( 4 \) away from \( 60 \).
    • We are going to round \( 44 \) to \( 40 \) to make the calculation easier.
    • So, for our estimate:
    • \( 60 + 40 = 100 \)

    Therefore, the first blank:

    • Estimate: 100
  2. Calculating using the anchor:

    • Next, we can formulate our addition:
    • \( 56 + 44 \) can be adjusted by breaking \( 44 \) into \( 40 + 4 \).
    • So:
    • \( 56 + 40 + 4 \)

    For this, we can fill the second blank:

    • \( 56 + 4 + 40 \)
  3. Calculating the total:

    • Now we will sum it up:
    • First calculate \( 56 + 40 = 96 \)
    • Then add the remaining \( 4 \):
    • \( 96 + 4 = 100 \)

    Thus, the final sum when calculated in the traditional way:

    • \( 1 \)
    • \( 56 \)
    • \( + 44 \)
    • \( ------ \)
    • 100

In summary, the filled in blanks are as follows:

  • Estimate: 100
  • 56 + 4 + 40
  • 100