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Zechariah Mayert

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13y ago

Each one of them is smaller than 100.

So 4 of them will be less than 4 lots of 100 or 400.

To prove that statement:

Suppose the 4 numbers are a, b, c and d.

Each of them is less than 100.

a < 100 so a = 100 - w for some positive number w.

Similarly, b = 100 - x; c = 100 - y; and d = 100 - z where x, y and z are also positive numbers.

Adding these 4 together,

a + b + c + d = 100 - w + 100 - x + 100 - y + 100 - z

= 400 - (w + x + y + z)

Now each of w, x, y and z is positive. Therefore, w+x+y+z is positive (the set of positive numbers is closed under addition).

So a + b + c + d = 400 - some positive number

ie a + b + c + d < 400

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Q: Why can't 4 two - digit addends be greater then 400?
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Related questions

Why can't 4 two-digit addends be greater than 400?

404


How can you round 375 to the nearest 100?

When rounding in the hundreds, you round when the tenths digit is greater than or equal to 5. In this case, 7 isgreater than 5, so you will round the ones digit up to the next- the answer is 400.(400)


What is 401 rounded to the nearest hundred?

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I am a 3- digit number all of my digits are odd i am less than 600 i am greater than 400 if you add my digits you get 15 my last digit is 7 what am i?

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What is a 400 digit number called?

A 400-digit number is typically referred to as a &quot;400-digit number.&quot; In mathematics, numbers are categorized by their number of digits, such as single-digit numbers, double-digit numbers, triple-digit numbers, and so on. Therefore, a number with 400 digits would simply be called a &quot;400-digit number.&quot;


How do you round 393 to the nearest ten?

When rounding to the nearest 10, you look at the last digit and if it is greater than or equal to 5, then you add one to the next to last digit and make the last digit 0. If it is less than 5 then you simply make the last digit 0. Thus 393 rounds to 390 while 395 becomes 400.


How do you round 373 to the nearest hundred?

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How many 3-digit numbers greater than 400 use the digits 1 5 and 6 only once?

Four: 516,561,615 &amp; 651.


What must a four digit number end in to be divisible by 400?

All of the four-digit multiples of 400 end in 00.


What is the leading digit of 473?

It is the first or leftmost digit: 4.


How do you round 351 to the nearest hundred?

To round 351 to the nearest hundred, you need to look at the tens digit, which is 5 in this case. Since 5 is equal to or greater than 5, you round up the hundreds digit by 1. Therefore, 351 rounded to the nearest hundred is 400.