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In 448,244, how is the relationship between the first pair of 4s the same as the relationship between the second pair of 4s?

Answer :

The key here is to know place values

We can move from right to left and understand the place values.

• Right most "4" is place value of ones

,

• Moving left, "4" has place values tens

,

• Moving left, "2" has place value hundreds

,

• Again left, "8" has place value thousands

,

• Left, "4" has place value ten thousands

,

• Lastly (leftmost digit, 4), "4" has place value hundred thousands

Now,

The left-most pair of 4s have place value of:

hundred thousands and ten thousands, that means:

[tex]4\times100,000=400,000[/tex][tex]4\times10,000=40,000[/tex]

Also, now, let's look at right-most pair of 4s, they have place value of:

ones and tens, that means:

[tex]4\times1=4[/tex][tex]4\times10=40[/tex]

We have to figure out the relationship between 400,000 and 40,000 and also between 4 and 40.

We can simply see that 40 is 10 times the number 4.

Also, 400,000 is 10 times the number 40,000.

Hence, the value of one of the 4's is 10 times the value of the other 4's (IN BOTH THE PAIRS, leftmost pair and rightmost pair).

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