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Question

State, true or false :
(i) 79=7+59+5(ii) 79=7595(iii) 79=7×59×5(iv) 79=7÷59÷5(v) 512is a negative rational number(vi) 1325is smaller than 2513.

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Solution

(i) 79=7+59+5

Lets simplify, 7+59+5

7+59+5=1214=67

The Simplest form of 7+59+5 is 67

797+59+5

So, 79=7+59+5 is False.

(ii) 79=7595

Lets simplify, 7595

7595=24=12

The Simplest form of 7595 is 12

797595

So, 79=7595 is False.

(iii) 79=7×59×5

Lets simplify, 7×59×5

7×59×5=79

The Simplest form of 7×59×5 is 79

79=7×59×5

So, 79=7×59×5 is True.

(iv) 79=7÷59÷5

Lets simplify, 7÷59÷5

7÷59÷5=75×59=79

The Simplest form of 7÷59÷5 is 79

79=7÷59÷5

So, 79=7÷59÷5 is True.

(v) 512is a negative rational number

Lets simplify 512

512=512 is a positive rational number.

So, given statement is False.

(vi) 1325is smaller than 2513.

Lets convert the fractions 1325, 2513 into like fractions.

1325=1325×1313=169325

2513=2513×2525=625325

In like fractions, the fraction which has smaller numerator is smaller.

625325<169325

2513<1325

Hence, the given statement is False.


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