Question

estimate quotients
estimate the quotient. tell what compatible numbers you used.

1. 803 ÷ 4
2. 482 ÷ 8
3. 705 ÷ 7
4. 623 ÷ 8
5. 281 ÷ 3
6. 5,396 ÷ 6
7. 29,500 ÷ 3
8. 200,790 ÷ 5

estimate the quotient, using two sets of compatible numbers.

1. \\(\sqrt3{344}\\)
2. \\(\sqrt6{1,745}\\)
3. \\(\sqrt8{1,028}\\)
4. \\(\sqrt7{47,856}\\)
5. \\(\sqrt2{24,918}\\)
6. \\(\sqrt4{85,916}\\)
7. \\(\sqrt7{799,320}\\)
8. \\(\sqrt8{985,878}\\)

mixed review

1. \\(\

$$\begin{array}{r}25,204 \\\\ \\times \\ \\ \\ \\ 38 \\\\ \\hline \\end{array}$$

\\)

1. \\(\

$$\begin{array}{r}193,867 \\\\ \\times \\ \\ \\ \\ \\ 45 \\\\ \\hline \\end{array}$$

\\)

1. \\(\

$$\begin{array}{r}3.67 \\\\ \\times 0.05 \\\\ \\hline \\end{array}$$

\\)

1. \\(\

$$\begin{array}{r}9.28 \\\\ \\times 0.14 \\\\ \\hline \\end{array}$$

\\)

1. \\(\

$$\begin{array}{r}42,914 \\\\ + 96,978 \\\\ \\hline \\end{array}$$

\\)

1. \\(\

$$\begin{array}{r}99,941 \\\\ - 17,808 \\\\ \\hline \\end{array}$$

\\)

1. \\(\sqrt7{65}\\)
2. \\(\sqrt4{53}\\)
3. \\(\sqrt5{73}\\)
4. \\(\sqrt8{341}\\)
5. \\(\sqrt4{95}\\)
6. \\(\sqrt3{82}\\)

Explanation:

Let's solve problem 1: \( 803 \div 4 \) using compatible numbers.

Step 1: Identify compatible numbers

Compatible numbers are numbers that are easy to divide mentally. We can round 803 to a number that is divisible by 4. 800 is close to 803 and divisible by 4.

Step 2: Divide the compatible numbers

\( 800 \div 4 = 200 \)

Answer:

The estimated quotient of \( 803 \div 4 \) is 200 (using compatible number 800).