Question

multiply.

1. $\begin{array}{r}2.1\\times0.76\hlineend{array}$
2. $\begin{array}{r}52.4\\times4.5\hlineend{array}$
3. $\begin{array}{r}4.52\\times8.9\hlineend{array}$
4. $\begin{array}{r}5.8\\times7.4\hlineend{array}$
5. $\begin{array}{r}0.97\\times0.23\hlineend{array}$
6. $\begin{array}{r}63.52\\times4.7\hlineend{array}$
7. $\begin{array}{r}2.7\\times0.25\hlineend{array}$
8. $\begin{array}{r}8.35\\times0.46\hlineend{array}$
9. $\begin{array}{r}0.813\\times4.6\hlineend{array}$
10. $\begin{array}{r}0.83\\times5.8\hlineend{array}$
11. $\begin{array}{r}12.3\\times6.5\hlineend{array}$
12. $\begin{array}{r}0.78\\times42.5\hlineend{array}$
13. $\begin{array}{r}912.5\\times0.85\hlineend{array}$
14. $\begin{array}{r}3.6\\times8.14\hlineend{array}$
15. $\begin{array}{r}0.64\\times31.8\hlineend{array}$
16. $\begin{array}{r}5.6\\times21.42\hlineend{array}$

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Explanation:

Problem 1: \( 2.1 \times 0.76 \)

Step1: Multiply as integers

Multiply \( 21 \) and \( 76 \): \( 21 \times 76 = 1596 \)

Step2: Count decimal places

\( 2.1 \) has 1 decimal place, \( 0.76 \) has 2 decimal places. Total decimal places: \( 1 + 2 = 3 \)

Step3: Place decimal in result

From the right of \( 1596 \), move 3 places: \( 1.596 \)

Step1: Multiply as integers

\( 524 \times 45 = 23580 \)

Step2: Count decimal places

\( 52.4 \) has 1, \( 4.5 \) has 1. Total: \( 1 + 1 = 2 \)

Step3: Place decimal

Move 2 places in \( 23580 \): \( 235.8 \)

Step1: Integer multiplication

\( 452 \times 89 = 40228 \)

Step2: Decimal places count

\( 4.52 \) (2) + \( 8.9 \) (1) = 3

Step3: Apply decimal

\( 40.228 \)

Answer:

\( 1.596 \)

Problem 2: \( 52.4 \times 4.5 \)