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In your own words, explain the place value relationship when the same two digits are next to each other in a multi - digit number.

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1.       When 2 digits are next to each other, the
place value relationships of both numbers are 10 times greater. Why because in
a place value of ones, tens, hundreds, thousands, hundred thousands, etc. The
value of ones multiplied by 10 is equals to tens. The value of tens multiply by
10 is equals to hundreds. The value of hundreds multiply by 10 is equals to
thousands and the value of thousands multiply by 10 is equals to hundred
thousand.

The correct answer is:

The digit to the left is 10 times greater than the digit to the right.

Explanation:

In the place value chart, we start at the ones.  Each consecutive place to the left is 10 times more:  the next is tens; then hundreds; thousands; etc.

Having two of the same digit beside each other means the one to the left is exactly ten times greater than the one to the right.

For example:
In the number 1774, we have two 7s beside each other.  The one to the right is in the tens place, making it 710 = 70.  The one to the left is in the hundreds place, making it 7100 = 700.  700 is ten times greater than 70:  70*10 = 700.

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