Question

7. Determine the following by arranging them in most convenient manner.
Name the property used.
a) 337 x 161 x 10 - 61 x 3370

Answer 1

337000.

• The distributive law of multiplication over addition and subtraction is another name for the distributive property. By its very name, the procedure implies that something will be divided or distributed. Both addition and subtraction are subject to the distributive law.
• According to the distributive property, an expression of the form A (B + C) can be resolved as A (B + C) = AB + AC. This distributive law, which is represented as A (B - C) = AB - AC, also applies to subtraction. This indicates that the distribution of operand A among the other two operands.

Here, according to the given information, the numerical is given as,

337 x 161 x 10 - 61 x 3370

This can be re-written as,

3370 x 161  - 61 x 3370

Using distributive property, we get,

3370 × (161 - 61)

=3370 × 100

=337000

Hence, 337000 is the answer.

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