To solve the given problems involving division of decimals, we will follow a systematic approach. The key steps involve converting the divisor to a whole number by moving the decimal point in both the dividend and the divisor, then performing the division.
Problem 1: \( 1.2 \div 0.4 \)
1. Move the decimal point one place to the right in both numbers to eliminate the decimal in the divisor:
\[
1.2 \div 0.4 = 12 \div 4
\]
2. Perform the division:
\[
12 \div 4 = 3
\]
Answer: \( 3 \)
Problem 2: \( 1.1 \div 0.11 \)
1. Move the decimal point two places to the right in both numbers:
\[
1.1 \div 0.11 = 110 \div 11
\]
2. Perform the division:
\[
110 \div 11 = 10
\]
Answer: \( 10 \)
Problem 3: \( 0.64 \div 0.8 \)
1. Move the decimal point one place to the right in both numbers:
\[
0.64 \div 0.8 = 6.4 \div 8
\]
2. Perform the division:
\[
6.4 \div 8 = 0.8
\]
Answer: \( 0.8 \)
Problem 4: \( 0.99 \div 0.11 \)
1. Move the decimal point two places to the right in both numbers:
\[
0.99 \div 0.11 = 99 \div 11
\]
2. Perform the division:
\[
99 \div 11 = 9
\]
Answer: \( 9 \)
Problem 5: \( 0.049 \div 0.7 \)
1. Move the decimal point one place to the right in both numbers:
\[
0.049 \div 0.7 = 0.49 \div 7
\]
2. Perform the division:
\[
0.49 \div 7 = 0.07
\]
Answer: \( 0.07 \)
Problem 6: \( 24 \div 0.03 \)
1. Move the decimal point two places to the right in both numbers:
\[
24 \div 0.03 = 2400 \div 3
\]
2. Perform the division:
\[
2400 \div 3 = 800
\]
Answer: \( 800 \)
Problem 7: \( 0.56 \div 0.8 \)
1. Move the decimal point one place to the right in both numbers:
\[
0.56 \div 0.8 = 5.6 \div 8
\]
2. Perform the division:
\[
5.6 \div 8 = 0.7
\]
Answer: \( 0.7 \)
Problem 8: \( 63 \div 0.7 \)
1. Move the decimal point one place to the right in both numbers:
\[
63 \div 0.7 = 630 \div 7
\]
2. Perform the division:
\[
630 \div 7 = 90
\]
Answer: \( 90 \)
Final Answers:
\[
\boxed{3, 10, 0.8, 9, 0.07, 800, 0.7, 90}
\]
Parent Tip: Review the logic above to help your child master the concept of divide decimal by decimal worksheet.