Problem Description:
The task involves solving a series of multiplication problems. Each row contains four numbers multiplied by a specific multiplier. We need to calculate the products for each multiplication problem.
Step-by-Step Solution:
####
Row 1: Multiplying by 2
1.
543 × 2:
\[
543 \times 2 = (500 \times 2) + (40 \times 2) + (3 \times 2) = 1000 + 80 + 6 = 1086
\]
2.
634 × 2:
\[
634 \times 2 = (600 \times 2) + (30 \times 2) + (4 \times 2) = 1200 + 60 + 8 = 1268
\]
3.
718 × 2:
\[
718 \times 2 = (700 \times 2) + (10 \times 2) + (8 \times 2) = 1400 + 20 + 16 = 1436
\]
4.
945 × 2:
\[
945 \times 2 = (900 \times 2) + (40 \times 2) + (5 \times 2) = 1800 + 80 + 10 = 1890
\]
####
Row 2: Multiplying by 3
1.
432 × 3:
\[
432 \times 3 = (400 \times 3) + (30 \times 3) + (2 \times 3) = 1200 + 90 + 6 = 1296
\]
2.
536 × 3:
\[
536 \times 3 = (500 \times 3) + (30 \times 3) + (6 \times 3) = 1500 + 90 + 18 = 1608
\]
3.
746 × 3:
\[
746 \times 3 = (700 \times 3) + (40 \times 3) + (6 \times 3) = 2100 + 120 + 18 = 2238
\]
4.
809 × 3:
\[
809 \times 3 = (800 \times 3) + (0 \times 3) + (9 \times 3) = 2400 + 0 + 27 = 2427
\]
####
Row 3: Multiplying by 4
1.
523 × 4:
\[
523 \times 4 = (500 \times 4) + (20 \times 4) + (3 \times 4) = 2000 + 80 + 12 = 2092
\]
2.
714 × 4:
\[
714 \times 4 = (700 \times 4) + (10 \times 4) + (4 \times 4) = 2800 + 40 + 16 = 2856
\]
3.
908 × 4:
\[
908 \times 4 = (900 \times 4) + (0 \times 4) + (8 \times 4) = 3600 + 0 + 32 = 3632
\]
4.
817 × 4:
\[
817 \times 4 = (800 \times 4) + (10 \times 4) + (7 \times 4) = 3200 + 40 + 28 = 3268
\]
####
Row 4: Multiplying by 5
1.
615 × 5:
\[
615 \times 5 = (600 \times 5) + (10 \times 5) + (5 \times 5) = 3000 + 50 + 25 = 3075
\]
2.
807 × 5:
\[
807 \times 5 = (800 \times 5) + (0 \times 5) + (7 \times 5) = 4000 + 0 + 35 = 4035
\]
3.
432 × 5:
\[
432 \times 5 = (400 \times 5) + (30 \times 5) + (2 \times 5) = 2000 + 150 + 10 = 2160
\]
4.
927 × 5:
\[
927 \times 5 = (900 \times 5) + (20 \times 5) + (7 \times 5) = 4500 + 100 + 35 = 4635
\]
Final Answers:
\[
\boxed{
\begin{array}{cccc}
1086 & 1268 & 1436 & 1890 \\
1296 & 1608 & 2238 & 2427 \\
2092 & 2856 & 3632 & 3268 \\
3075 & 4035 & 2160 & 4635 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 3 and 4 digit by 1 digit multiplication.