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Whats the Estimate of 110x298???

2 Answers

4 votes
31,700 for estimate 31,680 for 110x298
User Murat Seker
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5 votes

Answer:

33000

Explanation:

To estimate the product of two numbers, round the individual numbers to numbers that you can multiply mentally.

Round 298 to the nearest hundred → 300.

(We don't need to round 110 as it is a multiple of 10, and therefore easy to multiply mentally).

Therefore,

⇒ 110 × 298 ≈ 110 × 300

To multiply 110 by 300, separate the 110 into 100 + 10:

⇒ 110 × 300 = (100 + 10) × 300

Apply the distributive property of multiplication:

⇒ (100 + 10) × 300 = 100 × 300 + 10 × 300

To multiply a number by 100, add two zeros.

To multiply a number by 10, add one zero.

Therefore:

⇒ 100 × 300 + 10 × 300 = 30000 + 3000 = 33000

Check

110 × 298 = 32780

32780 rounded to the nearest thousand is 33000.

User Aseagram
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4.3k points