Math Gr 8 Ch 3: Solving Problems

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Questions and Answers

What is the main concept when adding and subtracting decimal fractions?

  • Multiplying by powers of 10
  • Dividing by the smallest denominator
  • Aligning the decimal points (correct)
  • Converting to whole numbers

What is the first step in multiplying decimal fractions?

  • Convert to whole numbers (correct)
  • Multiply the numbers as they are
  • Divide by a power of 10
  • Add the decimal places

What is the final step in multiplying decimal fractions?

  • Divide by a power of 10 (correct)
  • Subtract the decimal places
  • Multiply by a power of 10
  • Add the decimal places

What is the purpose of multiplying both the dividend and the divisor by a power of 10 in division of decimal fractions?

<p>To make the divisor a whole number (B)</p> Signup and view all the answers

When dividing a total amount by a certain number of people, what is the first step?

<p>Convert the total amount to a decimal if necessary (C)</p> Signup and view all the answers

What is the main concept when determining the duration of saving or total savings?

<p>Dividing the total amount saved by the weekly savings amount (C)</p> Signup and view all the answers

What is the purpose of aligning the decimal points when adding and subtracting decimal fractions?

<p>To ensure accurate calculations (D)</p> Signup and view all the answers

What is the technique used to adjust the result in multiplication of decimal fractions?

<p>Dividing by the power of 10 used earlier (C)</p> Signup and view all the answers

What is the correct step to perform when adding or subtracting decimal numbers?

<p>Align decimal points, then add or subtract as with whole numbers (A)</p> Signup and view all the answers

What is the purpose of multiplying by powers of 10 when multiplying decimal numbers?

<p>To convert the numbers to whole numbers (B)</p> Signup and view all the answers

When dividing decimal numbers, what is the first step?

<p>Convert the divisor to a whole number (C)</p> Signup and view all the answers

What is the correct formula to calculate the weight of an object?

<p>Weight = Volume × Weight per unit volume (D)</p> Signup and view all the answers

What is the final step in multiplying decimal numbers?

<p>Adjust the result to the correct decimal place (C)</p> Signup and view all the answers

What operation is used to calculate the cost of an object?

<p>Multiplication by the weight per unit volume and then by the cost per unit weight (B)</p> Signup and view all the answers

When performing multiplication of decimal fractions, what is the purpose of multiplying by powers of 10?

<p>To convert decimals to whole numbers (B)</p> Signup and view all the answers

What is the correct step when dividing decimal numbers?

<p>Convert the divisor to a whole number and then divide (D)</p> Signup and view all the answers

What is the purpose of aligning the decimal points when adding and subtracting decimal fractions?

<p>To ensure the decimal point in the result is correctly placed (C)</p> Signup and view all the answers

What is the formula to calculate the weight of an object?

<p>Volume multiplied by the weight per unit volume (A)</p> Signup and view all the answers

What is the primary purpose of aligning the decimal points when adding and subtracting decimal fractions?

<p>To ensure the correct placement of the decimal point in the result (C)</p> Signup and view all the answers

When multiplying decimal fractions, what is the purpose of multiplying both numbers by a power of 10?

<p>To eliminate the decimals (A)</p> Signup and view all the answers

What is the primary step in dividing decimal fractions?

<p>Multiply both the dividend and the divisor by a power of 10 (B)</p> Signup and view all the answers

When dividing a total amount by a certain number of people, what is the most important step?

<p>Dividing the total amount by the number of people (D)</p> Signup and view all the answers

What is the primary purpose of converting the divisor to a whole number in division of decimal fractions?

<p>To simplify the calculation (B)</p> Signup and view all the answers

When determining the duration of saving or total savings, what is the most important step?

<p>Divide the total amount saved by the weekly savings amount (C)</p> Signup and view all the answers

What is the primary purpose of dividing the result by the power of 10 used in multiplication of decimal fractions?

<p>To adjust the result to the correct decimal place (A)</p> Signup and view all the answers

What is the primary advantage of converting decimal fractions to whole numbers in multiplication?

<p>It simplifies the calculation (A)</p> Signup and view all the answers

What is the primary purpose of multiplying the volume by the weight per unit volume in weight calculations?

<p>To calculate the weight of the object (B)</p> Signup and view all the answers

Which of the following is a correct step in dividing decimal fractions?

<p>Convert the divisor to a whole number by multiplying both numbers by a power of 10 (D)</p> Signup and view all the answers

What is the primary advantage of converting decimal fractions to whole numbers in multiplication?

<p>It makes the calculation easier to perform (A)</p> Signup and view all the answers

Which of the following is a correct statement about adding and subtracting decimal fractions?

<p>Align the decimal points and add or subtract as with whole numbers, then adjust the decimal place (D)</p> Signup and view all the answers

What is the primary purpose of multiplying the weight by the cost per unit weight in cost calculations?

<p>To calculate the cost of the object (B)</p> Signup and view all the answers

What is the primary reason for multiplying both numbers by a power of 10 when multiplying decimal fractions?

<p>To adjust the result to the correct decimal place. (C)</p> Signup and view all the answers

What is the importance of aligning the decimal points when adding or subtracting decimal fractions?

<p>It ensures the correct placement of the decimal point in the result. (A)</p> Signup and view all the answers

When dividing a decimal fraction, what is the purpose of multiplying both the dividend and the divisor by a power of 10?

<p>To make the divisor a whole number. (B)</p> Signup and view all the answers

What is the primary purpose of adjusting the result in multiplication of decimal fractions?

<p>To place the decimal point in the correct position. (D)</p> Signup and view all the answers

When dividing an amount equally among a certain number of people, what is the primary step?

<p>Convert the total amount to a decimal fraction. (A)</p> Signup and view all the answers

What is the primary purpose of converting the divisor to a whole number in division of decimal fractions?

<p>To make the calculation easier to perform. (D)</p> Signup and view all the answers

When determining the duration of saving or total savings, what is the primary step?

<p>Divide the total amount saved by the weekly savings amount. (D)</p> Signup and view all the answers

What is the correct technique when adding or subtracting decimal fractions?

<p>Align the decimal points and then add or subtract. (C)</p> Signup and view all the answers

What is the underlying principle for calculating the weight of an object?

<p>Multiplying the volume by the weight per unit volume (B)</p> Signup and view all the answers

When multiplying two decimal fractions, what is the purpose of converting them to whole numbers?

<p>To ensure accurate placement of the decimal point (D)</p> Signup and view all the answers

What is the primary advantage of aligning decimal points when adding or subtracting decimal fractions?

<p>It reduces the chance of errors (D)</p> Signup and view all the answers

When dividing a decimal fraction, what is the purpose of multiplying both the dividend and the divisor by a power of 10?

<p>To convert the divisor to a whole number (A)</p> Signup and view all the answers

What is the underlying principle for calculating the cost of an object?

<p>Multiplying the weight by the cost per unit weight (A)</p> Signup and view all the answers

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