The DAV Class 5 Maths Book Solutions Pdf and DAV Class 5 Maths Chapter 4 Worksheet 8 Solutions of Fractional Numbers offer comprehensive answers to textbook questions.
DAV Class 5 Maths Ch 4 Worksheet 8 Solutions
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DAV Class 5 Maths Chapter 4 Worksheet 8 Notes
I. If two fractional numbers are multiplied in either order, the product remains the same.
E.g., Multiply two fractional numbers \(\frac{1}{5} \times \frac{2}{7}\)
\(\frac{1}{5} \times \frac{2}{7}\)
= \(\frac{2 \times 1}{7 \times 5}\)
= \(\frac{2}{35}\)
Let us interchange the places of fractional numbers.
\(\frac{2}{7} \times \frac{1}{5}\)
= \(\frac{2 \times 1}{7 \times 5}\)
= \(\frac{2}{35}\)
We observe that the product in both cases is the same.
\(\frac{1}{5} \times \frac{2}{7}=\frac{2}{7} \times \frac{1}{5}\)
II. Multiplication of a fractional number by 1.
If a fractional number is multiplied by one the product is the fractional number itself.
E.g., Find \(\frac{5}{3}\) × 1
\(\frac{5}{3}\) × 1
= \(\frac{5 \times 1}{3}\)
= \(\frac{5}{3}\)
III. Multiplication of a fractional number by 0.
If a fractional number is multiplied by zero, the product is zero.
E.g., \(\frac{3}{11}\) × 0 = ?
\(\frac{3}{11}\) × 0
= \(\frac{3 \times 0}{11}\)
= 0
IV. Multiplication of three fractional numbers.
If three fractional numbers are multiplied in any order, the product remains the same.
E.g., What is product of \(\frac{1}{3} \times \frac{1}{5} \times \frac{5}{4}\) when grouping are changed?
\(\left(\frac{1}{3} \times \frac{1}{5}\right) \times \frac{5}{4}\) = \(\frac{1}{15} \times \frac{5}{4}\) = \(\frac{1}{12}\)
Again when grouping is changed.
\(\frac{1}{3} \times\left(\frac{1}{5} \times \frac{5}{4}\right)\) = \(\frac{1}{3} \times \frac{5}{20}\) = \(\frac{1}{12}\)