Place Value - Pre Algebra

1. What is $3{,}465$ rounded to the nearest hundred?

   $3{,}500$. The tens digit is $6$, so round up.

2. What is $6.847$ rounded to the nearest tenth?

   $6.8$. The hundredths digit is $4$, which is less than $5$, so round down.

3. In $3.3$, how many times the value of the right $3$ is the value of the left $3$?

   $10$ times. The left $3$ means $3$ ones and the right $3$ means $3$ tenths.

4. What is the value of the digit $4$ in $0.0459$?

   $0.04$ (four hundredths). The $4$ is in the hundredths place.

5. How is $5.06$ written in words?

   Five and six hundredths. The $6$ is in the hundredths place, and the word "and" marks the decimal point.

6. What is $48{,}962$ rounded to the nearest thousand?

   $49{,}000$. The hundreds digit is $9$, so round up.

7. Which is greater, $0.7$ or $0.69$?

   $0.7$. Compare tenths first: $7$ tenths is greater than $6$ tenths.

8. What is $0.6352$ rounded to the nearest hundredth?

   $0.64$. The thousandths digit is $5$, so round up.

9. What is $2.995$ rounded to the nearest hundredth?

   $3.00$. The thousandths digit is $5$, so the $9$ hundredths rounds up and carries into the ones place.

10. What is the value of the digit $7$ in $3{,}742.5$?

    $700$. The $7$ is in the hundreds place.

11. What is $4$ thousands, $3$ tens and $8$ hundredths written in standard form?

    $4{,}030.08$. Use $0$ for the empty hundreds, ones and tenths places.

12. In the base-ten system, how does the value of each place compare with the place to its right?

    It is $10$ times as great. Equivalently, each place is $\frac{1}{10}$ of the place to its left.

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