Math Gr 8 Ch 3: Solving Problems

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?

To make the divisor a whole number (B) Signup and view all the answers

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

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

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

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

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

To ensure accurate calculations (D) Signup and view all the answers

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

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

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

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

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

To convert the numbers to whole numbers (B) Signup and view all the answers

When dividing decimal numbers, what is the first step?

Convert the divisor to a whole number (C) Signup and view all the answers

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

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

What is the final step in multiplying decimal numbers?

Adjust the result to the correct decimal place (C) Signup and view all the answers

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

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

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

To convert decimals to whole numbers (B) Signup and view all the answers

What is the correct step when dividing decimal numbers?

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

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

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

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

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

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

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

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

To eliminate the decimals (A) Signup and view all the answers

What is the primary step in dividing decimal fractions?

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

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

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

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

To simplify the calculation (B) Signup and view all the answers

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

Divide the total amount saved by the weekly savings amount (C) 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?

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

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

It simplifies the calculation (A) Signup and view all the answers

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

To calculate the weight of the object (B) Signup and view all the answers

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

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

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

It makes the calculation easier to perform (A) Signup and view all the answers

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

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

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

To calculate the cost of the object (B) Signup and view all the answers

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

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

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

It ensures the correct placement of the decimal point in the result. (A) 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?

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

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

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

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

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

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

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

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

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

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

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

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

Multiplying the volume by the weight per unit volume (B) Signup and view all the answers

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

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

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

It reduces the chance of errors (D) 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?

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

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

Multiplying the weight by the cost per unit weight (A) Signup and view all the answers

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?

What is the first step in multiplying decimal fractions?

What is the final step in multiplying decimal fractions?

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

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

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

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

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

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

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

When dividing decimal numbers, what is the first step?

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

What is the final step in multiplying decimal numbers?

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

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

What is the correct step when dividing decimal numbers?

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

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

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

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

What is the primary step in dividing decimal fractions?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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