multiply fractions & decimals quick check answers

Answer 1

Sure! Here’s a quick guide to multiply fractions and decimals, along with example problems and their answers.

Multiplying Fractions

1. Multiply the Numerators: Multiply the top numbers (numerators) together.
2. Multiply the Denominators: Multiply the bottom numbers (denominators) together.
3. Simplify the Fraction: If possible, simplify the resulting fraction.

Example Problem:

Multiply \( \frac{2}{3} \times \frac{4}{5} \).

Solution:

• Numerators: \( 2 \times 4 = 8 \)
• Denominators: \( 3 \times 5 = 15 \)
• Result: \( \frac{8}{15} \)

Multiplying Decimals

1. Ignore the Decimal Points: Multiply the numbers as if they were whole numbers.
2. Count Decimal Places: Count the total number of decimal places in the numbers you multiplied.
3. Place the Decimal Point: In your answer, place the decimal point so that it has the same number of decimal places as the total you counted.

Example Problem:

Multiply \( 0.6 \times 0.4 \).

Solution:

• Ignore the decimal: \( 6 \times 4 = 24 \)
• Count decimal places: \( 0.6 \) has 1 decimal place, \( 0.4 \) has 1 decimal place, for a total of 2 decimal places.
• Place the decimal: \( 0.24 \)

Quick Check Answers

• Fraction Example:
  • \( \frac{1}{2} \times \frac{3}{4} = \frac{3}{8} \)
• Decimal Example:
  • \( 0.2 \times 0.5 = 0.1 \)

If you have specific problems you want to check, feel free to share them!

Answer 2

Use properties of operations and rules for multiplying signed numbers to multiply −25 by 310 . Write the answer in simplest form.(1 point) Responses −650 negative Start Fraction 6 over 50 End Fraction 35 Start Fraction 3 over 5 End Fraction −65 negative Start Fraction 6 over 5 End Fraction −325

Answer 3

To multiply \(-25\) by \(310\), we can use the properties of operations and the rules for multiplying signed numbers:

1. Identify the signs:

   • \(-25\) is negative
   • \(310\) is positive

2. Multiply the absolute values:

   • Multiply \(25\) and \(310\): \[ 25 \times 310 = 7750 \]

3. Determine the sign of the answer:

   • When multiplying a negative number by a positive number, the result is negative.

4. Put it all together: \[ -25 \times 310 = -7750 \]

Now, let's look at the possible answer choices you've provided:

• −650
• negative Start Fraction 6 over 50 End Fraction
• 35 Start Fraction 3 over 5 End Fraction
• −65
• negative Start Fraction 6 over 5 End Fraction
• −325

None of these options correctly represent \(-7750\). If this is in a multiple-choice format, it looks like there might be a mistake in the answer options or the question itself. The correct answer is \(-7750\).