Number Decomposition: Breaking Down 701,005 into Place Values

Choose the correct decomposition of the number 701,005.

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1

Understand the problem

Choose the correct decomposition of the number 701,005.

2

Step-by-step solution

To solve this problem, we need to decompose the number 701,005 based on its digit values and their respective place values.

Let's break down the number 701,005:

  • There is a 7 in the hundred-thousands place: 7×100,000 7 \times 100,000
  • There is a 0 in the ten-thousands place: 0×10,000 0 \times 10,000 (this contributes nothing to the sum, so it can be ignored)
  • There is a 1 in the thousands place: 1×1,000 1 \times 1,000
  • There is a 0 in the hundreds place: 0×100 0 \times 100 (this contributes nothing)
  • There is a 0 in the tens place: 0×10 0 \times 10 (this contributes nothing)
  • There is a 5 in the units place: 5×1 5 \times 1

Now, let's put these together to express 701,005:

701,005=7×100,000+1×1,000+5×1 701,005 = 7 \times 100,000 + 1 \times 1,000 + 5 \times 1

Upon comparison with the given options, choice 1 correctly presents this decomposition:

7×100,000+1×1,000+5×1=701,005 7\times100,000+1\times1,000+5\times1=701,005

Therefore, the correct decomposition of 701,005 is given by choice 1.

3

Final Answer

7×100,000+1×1,000+5×1=701,005 7\times100,000+1\times1,000+5\times1=701,005

Practice Quiz

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What number do the units shown below represent?

10,0001000111010100011

UnitsTensHundredsThousandsBeforeConversionAfterConversionTens ofThousands

Write the units in the place value chart and convert into a number.

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