# Tell what property allows you to compute 1/3 × (6 × 4/5) as (1/3 × 6) × 4/3

**Solution:**

A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0.

According to the associative property of multiplication,

(a × b) × c = a × (b × c)

Thus, by using the associativity of multiplication we see that,

1/3 × (6 × 4/5) = (1/3 × 6) × 4/3

Hence, the associative property of multiplication has been used in the given expression.

**☛ Check: **NCERT Solutions for Class 8 Maths Chapter 1

**Video Solution:**

## Tell what property allows you to compute 1/3 × (6 × 4/5) as (1/3 × 6) × 4/3?

NCERT Solutions Class 8 Maths Chapter 1 Exercise 1.1 Question 7

**Summary:**

The property of associativity of multiplication allows you to compute 1/3 × (6 × 4/5) as (1/3 × 6) × 4/3.

**☛ Related Questions:**

- Is 8/9 the multiplicative inverse of -1 (1/8)? Why or why not?
- Is 0.3 the multiplicative inverse of 3 (1/3)? Why or why not?
- Write. (i) The rational number that does not have a reciprocal. (ii) The rational numbers that are equal to their reciprocals. (iii) The rational number that is equal to its negative.
- Fill in the blanks. (i) Zero has ________ reciprocal. (ii) The numbers ________ and ________ are their own reciprocals (iii) The reciprocal of -5 is ________. (iv) Reciprocal of 1/x, where x ≠ 0 is ________. (v) The product of two rational numbers is always a _______. (vi) The reciprocal of a positive rational number is ________.

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