Round 2.143 to the nearest hundredth.

Answer 1

To round 2.143 to the nearest hundredth, you look at the digit in the thousandths place, which is the third digit to the right of the decimal point. In this case, the number is:

• 2.143
• The hundredths place is the second digit after the decimal (4).
• The thousandths place is the third digit after the decimal (3).

Since the digit in the thousandths place (3) is less than 5, you do not round up the digit in the hundredths place. Therefore, you keep the hundredths digit (4) as it is.

So, 2.143 rounded to the nearest hundredth is 2.14.

Answer 2

Evaluate the expression shown below and write your answer as a fraction in simplest form.
17/20 ÷ 0.95

Answer 3

To evaluate the expression \( \frac{17}{20} \div 0.95 \), we can convert \( 0.95 \) to a fraction.

The decimal \( 0.95 \) can be expressed as:

\[ 0.95 = \frac{95}{100} \]

Now, we can simplify \( \frac{95}{100} \):

\[ \frac{95}{100} = \frac{95 \div 5}{100 \div 5} = \frac{19}{20} \]

Now we can rewrite the original expression:

\[ \frac{17}{20} \div 0.95 = \frac{17}{20} \div \frac{19}{20} \]

Dividing by a fraction is the same as multiplying by its reciprocal, so we have:

\[ \frac{17}{20} \div \frac{19}{20} = \frac{17}{20} \times \frac{20}{19} \]

Now, we can simplify:

\[ \frac{17 \times 20}{20 \times 19} = \frac{17}{19} \]

So, the expression \( \frac{17}{20} \div 0.95 \) evaluates to \( \frac{17}{19} \).

Thus, the answer in simplest form is:

\[ \frac{17}{19} \]

Answer 4

what is the answer

Answer 5

The answer to the expression \( \frac{17}{20} \div 0.95 \) is:

\[ \frac{17}{19} \]

This is the simplest form of the fraction.

Answer 6

Round 5.7 to the nearest whole number.

Answer 7

To round 5.7 to the nearest whole number, you look at the digit in the tenths place, which is 7. Since 7 is greater than or equal to 5, you round up.

Thus, 5.7 rounded to the nearest whole number is 6.

Answer 8

42 = 42 + 9b

Answer 9

To solve the equation \( 42 = 42 + 9b \), we can start by isolating the variable \( b \).

1. Subtract 42 from both sides of the equation:

\[ 42 - 42 = 42 + 9b - 42 \]

This simplifies to:

\[ 0 = 9b \]

2. Now, divide both sides by 9 to solve for \( b \):

\[ b = \frac{0}{9} = 0 \]

Thus, the solution to the equation is:

\[ b = 0 \]

Answer 10

Convert 4 and nine tenth's into an improper fraction.

Answer 11

To convert the mixed number \( 4 \frac{9}{10} \) into an improper fraction, follow these steps:

1. Multiply the whole number part (4) by the denominator (10): \[ 4 \times 10 = 40 \]

2. Add the result to the numerator (9): \[ 40 + 9 = 49 \]

3. Place this result over the original denominator (10): \[ \frac{49}{10} \]

Thus, the mixed number \( 4 \frac{9}{10} \) as an improper fraction is:

\[ \frac{49}{10} \]