Final answer:
To estimate 5624 divided by 72, we round 5624 to 5600 and 72 to 70, then divide 560 by 7, which gives us an estimate of 80.
Step-by-step explanation:
To estimate 5624 divided by 72, we can simplify this into a problem that's easier to perform in my head. When we look at these numbers, we notice that 72 is close to 70. If we round 5624 to the nearest hundreds, we get 5600. Now, our estimated division becomes 5600 divided by 70.
Next, we can simplify this by thinking of it in terms of their relationship with multiples of 10:
Therefore, when we divide 5600 by 70, it's like dividing 560 by 7. Since 7 x 8 = 56, we can estimate that 5600 divided by 70 is approximately 80. Thus, 5624 divided by 72 can be estimated to be around 80 when rounded to the nearest whole number.