Problem Description:
The task involves solving a series of division problems where each problem is in the format \( \text{divisor} \sqrt{\text{dividend}} \). This notation implies that we need to divide the dividend by the divisor.
Solution Approach:
1.
Understand the Notation: The notation \( \text{divisor} \sqrt{\text{dividend}} \) means we are dividing the dividend by the divisor.
2.
Perform Division: For each entry in the table, divide the number under the square root (the dividend) by the number before the square root (the divisor).
3.
Simplify: Ensure that the result is simplified if possible.
Step-by-Step Solution:
#### First Row:
1. \( 2 \sqrt{18} \):
\[
\frac{18}{2} = 9
\]
2. \( 3 \sqrt{24} \):
\[
\frac{24}{3} = 8
\]
3. \( 4 \sqrt{32} \):
\[
\frac{32}{4} = 8
\]
4. \( 5 \sqrt{40} \):
\[
\frac{40}{5} = 8
\]
5. \( 6 \sqrt{48} \):
\[
\frac{48}{6} = 8
\]
#### Second Row:
1. \( 7 \sqrt{49} \):
\[
\frac{49}{7} = 7
\]
2. \( 2 \sqrt{12} \):
\[
\frac{12}{2} = 6
\]
3. \( 3 \sqrt{27} \):
\[
\frac{27}{3} = 9
\]
4. \( 4 \sqrt{28} \):
\[
\frac{28}{4} = 7
\]
5. \( 5 \sqrt{30} \):
\[
\frac{30}{5} = 6
\]
#### Third Row:
1. \( 8 \sqrt{56} \):
\[
\frac{56}{8} = 7
\]
2. \( 7 \sqrt{63} \):
\[
\frac{63}{7} = 9
\]
3. \( 2 \sqrt{14} \):
\[
\frac{14}{2} = 7
\]
4. \( 3 \sqrt{18} \):
\[
\frac{18}{3} = 6
\]
5. \( 4 \sqrt{36} \):
\[
\frac{36}{4} = 9
\]
#### Fourth Row:
1. \( 9 \sqrt{72} \):
\[
\frac{72}{9} = 8
\]
2. \( 8 \sqrt{72} \):
\[
\frac{72}{8} = 9
\]
3. \( 7 \sqrt{56} \):
\[
\frac{56}{7} = 8
\]
4. \( 2 \sqrt{16} \):
\[
\frac{16}{2} = 8
\]
5. \( 3 \sqrt{21} \):
\[
\frac{21}{3} = 7
\]
#### Fifth Row:
1. \( 6 \sqrt{54} \):
\[
\frac{54}{6} = 9
\]
2. \( 9 \sqrt{81} \):
\[
\frac{81}{9} = 9
\]
3. \( 8 \sqrt{48} \):
\[
\frac{48}{8} = 6
\]
4. \( 7 \sqrt{42} \):
\[
\frac{42}{7} = 6
\]
5. \( 2 \sqrt{10} \):
\[
\frac{10}{2} = 5
\]
#### Sixth Row:
1. \( 9 \sqrt{45} \):
\[
\frac{45}{9} = 5
\]
2. \( 6 \sqrt{42} \):
\[
\frac{42}{6} = 7
\]
3. \( 9 \sqrt{63} \):
\[
\frac{63}{9} = 7
\]
4. \( 8 \sqrt{64} \):
\[
\frac{64}{8} = 8
\]
5. \( 7 \sqrt{35} \):
\[
\frac{35}{7} = 5
\]
Final Answer:
\[
\boxed{
\begin{array}{ccccc}
9 & 8 & 8 & 8 & 8 \\
7 & 6 & 9 & 7 & 6 \\
7 & 9 & 7 & 6 & 9 \\
8 & 9 & 8 & 8 & 7 \\
9 & 9 & 6 & 6 & 5 \\
5 & 7 & 7 & 8 & 5 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of division for 4th grade worksheet.