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Simplify the following using brackets. ...

Simplify the following using brackets.
`305 xx 40`

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The correct Answer is:
To simplify the expression \( 305 \times 40 \) using brackets, we can break down the number 305 into two parts: 300 and 5. Here’s how to do it step by step: ### Step-by-Step Solution: 1. **Rewrite the Expression**: We can express 305 as the sum of 300 and 5. Thus, we can rewrite the expression as: \[ 305 \times 40 = (300 + 5) \times 40 \] 2. **Apply the Distributive Property**: Now, we will use the distributive property to expand the expression: \[ (300 + 5) \times 40 = 300 \times 40 + 5 \times 40 \] 3. **Calculate Each Part**: - First, calculate \( 300 \times 40 \): \[ 300 \times 40 = 12000 \] - Next, calculate \( 5 \times 40 \): \[ 5 \times 40 = 200 \] 4. **Add the Results**: Now, we add the two results together: \[ 12000 + 200 = 12200 \] 5. **Final Answer**: Therefore, the simplified result of \( 305 \times 40 \) is: \[ \boxed{12200} \]
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MTG IIT JEE FOUNDATION-KNOWING OUR NUMBERS-Exercise (Subjective Problems) Short Answer Type
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  7. Write the following in expanded form. 286542

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  8. Write the following in expanded form. 19360654

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  9. Write the following in expanded form. 1212121

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  10. Compare the following by using lt , gt or =. XXVIII, 29

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  11. Compare the following by using lt , gt or =. 42, XLII

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  13. Compare the following by using lt , gt or =. 460, DC

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  14. Write the following in standard form. 70,00,000 + 80,000 + 900

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  15. Write the following in standard form. 4,00,000 + 50,000 + 5,000 + 50...

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  16. Write the following in standard form. 36,000 + 400 + 20 + 5

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  17. Simplify the following using brackets. 428 xx 20

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  18. Simplify the following using brackets. 98 xx 102

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  19. Simplify the following using brackets. 305 xx 40

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  20. Simplify the following using brackets. 36 xx 48

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