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प्रश्न
Verify the property: x × y = y × x by taking:
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उत्तर
\[\text{We have to verify that} x \times y = y \times x . \]
\[ x = 2, y = \frac{7}{- 8}\]
\[ x \times y = 2 \times \frac{7}{- 8} = \frac{7}{- 4}\]
\[y \times x = \frac{7}{- 8} \times 2 = \frac{7}{- 4}\]
\[ \therefore 2 \times \frac{7}{- 8} = \frac{7}{- 8} \times 2\]
\[\text{Hence verified .} \]
संबंधित प्रश्न
Verify the property: x × (y × z) = (x × y) × z by taking:
Verify the property: x × (y + z) = x × y + x × z by taking:
Use the distributivity of multiplication of rational numbers over their addition to simplify:
Name the property of multiplication of rational numbers illustrated by the following statements:
Find: `2/5 xx (-3)/7 - 1/14 - 3/7 xx 3/5`.
For rational numbers `a/b, c/d` and `e/f` we have `a/b xx (c/d + e/f)` = ______ + ______.
`1/5 xx [2/7 + 3/8] = [1/5 xx 2/7] +` ______.
For every rational numbers x, y and z, x + (y × z) = (x + y) × (x + z).
Verify the property x + y = y + x of rational numbers by taking
`x = (-3)/7, y = 20/21`
Four friends had a competition to see how far could they hop on one foot. The table given shows the distance covered by each.
| Name | Distance covered (km) |
| Seema | `1/25` |
| Nancy | `1/32` |
| Megha | `1/40` |
| Soni | `1/20` |
Who walked farther, Nancy or Megha?
