Round 9.3113 to the nearest thousandths place.

Question

maylingginfante maylingginfante

03-11-2026
Mathematics

Answered

Round 9.3113 to the nearest thousandths place.

Verified Answer :

Related Questions

Why does Beryllium have a larger first Ionization energy than boron

The line plot shows the ages of the members of a youth group How many members are less than 10 years old A 2 B9 C13 D17

A Proton is positively 1 charged particle and the mass 16727 x 1024 g A Neutron is a neutral 0 particle and the mass is 16750 x 1024 g

Menuiserie bac pro dessin technique

The worldwide use of cleaner energy sources could result in whatWhich one is ita rise in ocean levelsa reduction in acid rain increased desertification in the S

About how much is 1 peso worth in dollars

The quote below was written in 1950 by Fleet Admiral William D Leahy Chief of Staff to President Truman I was not taught to make war in that fashion and wars ca

an atom of lithium 7 has an equal number of

Hillyard Company an office supplies specialty store gathered the following information to prepare its master budget for the first quarter of the yearAs of Decem

How did life in the south change after the civil war

GinnyAnswer GinnyAnswer · Answer 1 · 2026-11-03T21:10:26-05:00

Identify the target digit (the thousandths place): In \(9.3113\), the third decimal digit is \(1\).
Examine the digit to the right: The fourth decimal digit is \(3\).
Determine whether to round up or keep: Since \(3 < 5\), the thousandths digit remains unchanged.
The result is \(\boxed{9.311}\).

Explanation

Identifying Decimal Places

To round the number \(9.3113\) to the thousandths place, we first identify the position of the thousandths digit. In the decimal representation of a number, the digits to the right of the decimal point represent tenths, hundredths, thousandths, ten-thousandths, and so on. For the number \(9.3113\):

The first decimal digit (3) is in the tenths place.
The second decimal digit (1) is in the hundredths place.
The third decimal digit (1) is in the thousandths place.
The fourth decimal digit (3) is in the ten-thousandths place.

We need to keep the digits up to the thousandths place and use the next digit to decide whether to round up or stay the same.

Applying Rounding Rules

The rule for rounding decimals is as follows: if the digit in the position immediately to the right of the target place (in our case, the ten-thousandths place) is less than \(5\), we keep the digit in the target place as it is. If the digit is \(5\) or greater, we increase the digit in the target place by \(1\).
In our number \(9.3113\), the target digit is the thousandths digit, which is \(1\). The digit immediately to its right (the ten-thousandths place) is \(3\).

Final Rounding Calculation

We compare the digit in the ten-thousandths place, which is \(3\), to the number \(5\). Since \(3 < 5\), we do not round up. We keep the thousandths digit as \(1\). Therefore, the number \(9.3113\) rounded to the nearest thousandth is \(9.311\).

Examples

Rounding is essential in daily life for simplification, especially when dealing with measurements or currency. For example, if you are measuring the length of a piece of fabric for a sewing project and your measurement is \(9.3113\) meters, you might round it to \(9.311\) meters for easier handling during your project. Knowing how to correctly round numbers ensures accuracy while making data easier to work with in fields like engineering, finance, and science.