Find the place value of 2 in the following numbers: 214, 86.120, 3, 46.521

Question

ScanSolve AI Tutor · Accepted Answer

Here's a fourth method, focusing on the powers of ten associated with each place value. This method explicitly uses exponents to represent the position of each digit.

I) In the number 214:

Identify the position of the digit 2.
The digit 2 is in the hundreds place.
Determine the power of ten for that position.
The hundreds place corresponds to $10^2$ .
Calculate the place value.
The place value of 2 is $2 \times 10^2 = 2 \times 100 = \boxed{\text{200}}$ .

II) In the number 85,120:
Identify the position of the digit 2.
The digit 2 is in the tens place.
Determine the power of ten for that position.
The tens place corresponds to $10^1$ .
Calculate the place value.
The place value of 2 is $2 \times 10^1 = 2 \times 10 = \boxed{\text{20}}$ .

III) In the number 3:
Check for the digit 2.
The number 3 does not contain the digit 2.
The place value of 2 is $\boxed{\text{not applicable}}$ .

IV) In the number 40.521:
Identify the position of the digit 2.
The digit 2 is in the hundredths place.
Determine the power of ten for that position.
The hundredths place corresponds to $10^{-2}$ .
Calculate the place value.
The place value of 2 is $2 \times 10^{-2} = 2 \times \frac{1}{100} = \frac{2}{100} = \boxed{\text{0.02}}$ .

Find the place value of 2 in the following numbers: 214, 86.120, 3, 46.521

Step-by-step solution

Identify the position of the digit 2.

Determine the power of ten for that position.

Calculate the place value.

Identify the position of the digit 2.

Determine the power of ten for that position.

Calculate the place value.

Check for the digit 2.

Identify the position of the digit 2.

Determine the power of ten for that position.

Calculate the place value.

Still stuck on this one?

More Mathematics Questions