Carl needs to estimate the quotient 547÷92. Explain how Carl could use compatible numbers to make a reasonable estimate.
To use compatible numbers to make a reasonable estimate of the quotient 547 ÷ 92, Carl can round the numbers to more manageable and compatible values.
Step 1: Round down 547 to the nearest multiple of 100, which is 500. This is because 547 is closer to 500 than it is to 600.
Step 2: Round 92 to the nearest multiple of 10, which is also 90. This is because 92 is closer to 90 than it is to 100.
Now, Carl can estimate the quotient as 500 ÷ 90.
Step 3: Divide the rounded numbers: 500 ÷ 90 ≈ 5.56
So, Carl's estimate for the quotient 547 ÷ 92 using compatible numbers is approximately 5.56.
550/100
or 55 / 10
or 5/1