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Construct Arguments Complete by

writing> or < in the O. Without
dividing, explain how you know which
quotient is greater.
9304762 ÷ 4

1 Answer

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Final answer:

By estimating the quotient using the place value of the highest digits of the dividend 9304762, we can determine that the result of 9304762 ÷ 4 is greater than 2 million, and therefore greater than 1.

Step-by-step explanation:

To compare the two quotients 9304762 ÷ 4 and 1, we can use estimation and place value rather than performing the division. When dividing a multi-digit number by a single-digit number, we can estimate the quotient by considering the place value of the highest digits in the dividend.

For the number 9304762, looking at the first digit (9) gives us an idea that dividing this by 4 should give a quotient that starts with a number slightly larger than 2 (since 4 times 2 is 8 and is the closest multiple to 9 without exceeding it). Thus, we can estimate the result of 9304762 ÷ 4 to be greater than 2 million. Since 2 million is clearly greater than 1, we can conclude that:

9304762 ÷ 4 > 1

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