Home
Class 6
MATHS
Use distributive property of multiplicat...

Use distributive property of multiplication over addition/ subtraction and evaluate:
`2389xx156-2389xx56`

A

`2,38,900`

B

`2,38,920`

C

`2,39,900`

D

`2,35,900`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression \( 2389 \times 156 - 2389 \times 56 \) using the distributive property of multiplication over subtraction, we can follow these steps: ### Step 1: Identify the common factor In the expression \( 2389 \times 156 - 2389 \times 56 \), we can see that \( 2389 \) is a common factor in both terms. ### Step 2: Factor out the common term Using the distributive property, we can factor out \( 2389 \): \[ 2389 \times (156 - 56) \] ### Step 3: Simplify the expression inside the parentheses Now, we need to subtract \( 56 \) from \( 156 \): \[ 156 - 56 = 100 \] ### Step 4: Substitute back into the expression Now we substitute back into our expression: \[ 2389 \times 100 \] ### Step 5: Perform the multiplication Now, we multiply \( 2389 \) by \( 100 \): \[ 2389 \times 100 = 238900 \] ### Final Answer Thus, the final answer is: \[ \boxed{238900} \]
Promotional Banner

Similar Questions

Explore conceptually related problems

Use distributive property of multiplication over addition/ subtraction and evaluate: 35xx58

Use distributive property of multiplication over addition/ subtraction and evaluate: 43xx27

Use distributive property of multiplication over addition and evaluate: 49xx68+32xx49

Evaluate: 8.56 xx 18

State True or False: Multiplication distributes over subtraction.

Find the product using distributive property of multiplication. 283xx97

Find the product using distributive property of multiplication. 120xx48

Using distributivity of multiplication over addition of whole numbers, find each of the following products: 736\ x\ 103

Using 12, -4, and 6, prove the distributivity of multipicationn over addition as well as subtraction.

Find the product using distributive property of multiplication. 354xx102