Question

2. Multiply 94 and 985 by expressing 94 as a sum of two numbers.​

Answer 1

Answer:

94×985 =  92590

Step-by-step explanation:

To find,

The product of  94 and 985 by expressing 94 as a sum of two numbers.​

Recall the property

Distributive property of integers

If a, b, and c are any three integers, the distributive property of multiplication over addition is given by

(a+b)×c= a×c+b×c

Solution:

We can write 94 as the sum of two numbers as 100 + (-6)

Then the product of 94 and 985 = 94×985

= (100 + (-6))×985

Applying distributive property we get,

= 100×985 +  (-6)×985

= 98500 +(-5910)

= 92590

∴ 94×985 =  92590

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Answer 2

Answer:

By expressing 94 as a sum of two numbers, the product of 94 and 985 is 92590.

Step-by-step explanation:

Step 1 of 2

To find the product of 94 and 985 by expressing 94 as a sum of two numbers.

Consider the expression as follows:

94 × 985 . . . . . (1)

Rewrite the number 94 as a sum of two numbers.

94 = (100 - 6)

Then, the expression (1) becomes,

(100 - 6) × 985 . . . . (2)

Step 2 of 2

Using the distributive property of multiplication over subtraction, simplify the expression (2) as follows:

⇒ (100 × 985) - (6 × 985)

Evaluate the each bracket.

⇒ 98500 - 5910

Lastly, subtract both the numbers.

⇒ 92590

Final answer: By expressing 94 as a sum of two numbers, the product is 92590.

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