Of course! Let's go through the steps to round each of these decimal numbers to the nearest hundredth (hundredth place is the second digit to the right of the decimal point):
### 1. [tex]\( 39.658 \)[/tex]
- Look at the digit in the thousandths place (third digit to the right of the decimal point), which is 8.
- If the thousandths place is 5 or greater, round up the hundredths place; if it's less than 5, keep the hundredths place as is.
- Since 8 is greater than 5, we round up the hundredths place (5) to 6.
- Final result: [tex]\( 39.66 \)[/tex]
### 2. [tex]\( 0.767 \)[/tex]
- Look at the digit in the thousandths place, which is 7.
- Since 7 is greater than 5, we round up the hundredths place (6) to 7.
- Final result: [tex]\( 0.77 \)[/tex]
### 3. [tex]\( 1143.371 \)[/tex]
- Look at the digit in the thousandths place, which is 1.
- Since 1 is less than 5, we do not round up the hundredths place (7) and keep it as is.
- Final result: [tex]\( 1143.37 \)[/tex]
### 4. [tex]\( 18.415 \)[/tex]
- Look at the digit in the thousandths place, which is 5.
- Since 5 is exactly 5, we round up the hundredths place (1) to 2.
- Final result: [tex]\( 18.42 \)[/tex]
### 5. [tex]\( 15253.986 \)[/tex]
- Look at the digit in the thousandths place, which is 6.
- Since 6 is greater than 5, we round up the hundredths place (8) to 9.
- Final result: [tex]\( 15253.99 \)[/tex]
Putting it all together, the rounded numbers to the nearest hundredth are:
1. [tex]\( 39.66 \)[/tex]
2. [tex]\( 0.77 \)[/tex]
3. [tex]\( 1143.37 \)[/tex]
4. [tex]\( 18.42 \)[/tex]
5. [tex]\( 15253.99 \)[/tex]
