Middle School

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In the number 514,482,441, how is the relationship between the first pair of 4s the same as the relationship between the second pair of 4s? How is it different?

Answer :

Answer:

Both pairs of 4's are differ by 10 times.

Difference of first pair of 4's = 4,000,000 - 400,000 = 3,600,000

Difference of second pair of 4's = 400 - 40 = 360

Step-by-step explanation:

The given number is 514,482,441.

Now let's write the number in expanded form.

514,482,441 = 500,000,000+10,000,000+4,000,000+400,000+80,000+2,000+400+40+1

Let's take the first pair of 4's

The first pair of 4's from the left.

The place value of the first 4 = 4,000,000

The place value of the second 4 = 400,000

The first 4 value is 10 times greater than the second 4 value.

4,000,000 = 10*400,000

starting from the left:

Now let's take second pair of 4's

The are in hundreds place and tens place respectively.

The place value of the third 4 is 400

The place value of the fourth 4 is 40

We can see that the third 4 is 10 times the fourth 4.

400 = 10*40

So, both pairs of 4's are differ by 10 times.

Difference of first pair of 4's = 4,000,000 - 400,000 = 3,600,000

Difference of second pair of 4's = 400 - 40 = 360

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Rewritten by : Barada

In the 1st pair of fours the 4 on the left side is 10 times greater than the 4 on the right. The same thing with the 2nd pair of fours. The 4 on the left side is 10 greater than the 4 on the right. Hope this helps!