Answered

Compare the values of the underlined digits. 67,908 and 76,908

The value of 7 in __________ is __________times the value of 7 in _________.



Answer :

BladeRunner212

The value of 7 in 76,908 is ten times the value of 7 in 67,908.

Further explanation

This is a problem with the place value. Let's see what is the difference in the value of 7 at 67,908 and 76,908 in the unit form.

67,908 are

  • 6 ten thousands
  • 7 thousands ←
  • 9 hundreds
  • 0 tens
  • 8 ones

76,908 are

  • 7 ten thousands ←
  • 6 thousands
  • 9 hundreds
  • 0 tens
  • 8 ones

So it's quite clear that the value of 7 in 76,908 is ten times the value of 7 in 67,908. Because the place value of 7 in 76,908 is ten thousands while the place value of 7 in 67,908 is thousands.

Similar with 70,000 = 10 x 7,000, exactly like that.

Note:

The digits in numbers are in groups of three places, i.e.,  

  • hundreds,
  • tens,
  • ones (or units).

There are four types of number forms:

  • The standard form is written in number form.
  • Unit forms: writing a number using place value units.
  • Word form: written in words.
  • Expanded form: stretch it out by place value.

Learn more

  1. The example of a question about the four types of number form brainly.com/question/4725342brainly.com/question/4725342
  2. 4,083,817 what 3 digits are in the units period?  brainly.com/question/558692
  3. 10 x 3 tens - unit form and standard form https://brainly.com/question/585147

Keywords: compare, the values of the underlined digits, 67,908 and 76,908, unit form, place value, ten times, thousands, hundreds, ones

View image BladeRunner212
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Here we have a problem with the digit place and how this works.

We will find that the correct answer is:

"The value of 7 in 76,908 is 10 times the value of 7 in 67,908"

The digit place is the position of each digit with respect to the decimal point. For example, the first number at the left of the decimal point is the units digit, the second is the tens digit, and so on.

Such that the n-th number at the left of the decimal point will be of the order of 10^(n - 1)

Now we want  to compare the 7s in the numbers:

67,908 and  76,908

In the first number, we can see that the 7 is in the fourth place at the left of the decimal point, then the value will be:

7*10^(4 - 1) = 7,000

The 7 is in the fifth place of the second number, then we will have

7*10^(5 - 1) = 70,000

The quotient between these is:

70,000/7,000 = 10

Then we can conclude that:

"The value of 7 in 76,908 is 10 times the value of 7 in 67,908"

If you want to learn more, you can read:

https://brainly.com/question/13085765

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