English

Use the distributivity of multiplication of rational numbers over their addition to simplify: 35×[3524+101]

Advertisements
Advertisements

Question

Use the distributivity of multiplication of rational numbers over their addition to simplify: 

`3/5 xx [35/24 + 10/1]`
Sum
Advertisements

Solution

Given, `3/5 xx (35/24 + 10/1)`

= `3/5 xx 35/24 + 3/5 xx 10/1`  ...[By using distributive property over addition]

= `7/8 + 6/1`

= `(7 + 48)/8`

= `55/8`

shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Rational Numbers - Exercise [Page 20]

APPEARS IN

NCERT Exemplar Mathematics Exemplar [English] Class 8
Chapter 1 Rational Numbers
Exercise | Q 111. (a) | Page 20

RELATED QUESTIONS

Verify the property: x × y = y × x by taking:

\[x = 0, y = \frac{- 15}{8}\]

Verify the property: x × (y × z) = (x × y) × z by taking:

\[x = \frac{1}{2}, y = \frac{5}{- 4}, z = \frac{- 7}{5}\]

Verify the property: x × (y × z) = (x × y) × z by taking:

\[x = \frac{5}{7}, y = \frac{- 12}{13}, z = \frac{- 7}{18}\]

Verify the property: x × (y + z) = x × y + x × z by taking:

\[x = \frac{- 8}{3}, y = \frac{5}{6}, z = \frac{- 13}{12}\]

Use the distributivity of multiplication of rational numbers over their addition to simplify: 

`(-5)/4 xx [8/5 + 16/15]`

Name the property of multiplication of rational numbers illustrated by the following statements:

\[\frac{- 5}{16} \times \frac{8}{15} = \frac{8}{15} \times \frac{- 5}{16}\]

Name the property of multiplication of rational numbers illustrated by the following statements:

\[\frac{7}{4} \times \left( \frac{- 8}{3} + \frac{- 13}{12} \right) = \frac{7}{4} \times \frac{- 8}{3} + \frac{7}{4} \times \frac{- 13}{12}\]

By what number should we multiply \[\frac{- 1}{6}\] so that the product may be \[\frac{- 23}{9}?\]


Give an example and verify the following statement.

Distributive property of multiplication over subtraction is true for rational numbers. That is, a(b – c) = ab – ac


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?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×