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A number is 42,300 when multiplied by 10 . Find the product of this number and 500.

Sagot :

The answer is 2,115,000.

First, you want to find the number itself. Think of the number as "x." So, "x" times 10 = 42,300. To figure this out, you want "x" by itself on one side of the equal sign. To do so, you divide 42,300 by 10: 4,230. Next, to find the product of 4,230 and 500, you multiply them together: 4,230 times 500 = 2,115,000.

2,115,000

Further explanation

We will solve the problem of multiplication operations.

Given:

A number is 42,300 when multiplied by 10.

Question:

Find the product of this number and 500.

The Process:

Let the number as N.

N multiplied by 10 equals 42,300.

[tex]\boxed{ \ N+N+N+N+N+N+N+N+N+N = 42,300 \ }[/tex]

[tex]\boxed{ \ 10 \times N = 42,300 \ }[/tex]

  • Because 42,300 contains two zeros while 10 has one zero, thus N has one zero.
  • [tex]\boxed{ \ 423 \times 1 = 423 \ }[/tex]

Based on the two reasons above, we can conclude that the value of N is 4.230. So, the number in question is [tex]\boxed{ \ 4,230 \ }[/tex].

Another way to get N is to divide 42,300 by 10.

[tex]\boxed{ \ N = 42,300 \div 10 \rightarrow \boxed{ \ N = 4,230 \ } \ }[/tex]

Now we proceed to find the product of this number and 500.

[tex]\boxed{ \ 4,230 \times 500 = ? \ }[/tex]

[tex]\boxed{ \ 423 \times 5 \times 1,000 = ? \ }[/tex]

[tex]\boxed{ \ 2,115 \times 1,000 = 2,115,000 \ }[/tex]

Thus, the product of this number and 500 is [tex]\boxed{\boxed{ \ 2,115,000 \ }}[/tex].

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Keywords: a number is 42,300, when multiplied by 10, 4,230, find the product, this number, and 500 multiplication operation, zero, divide