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Math Gr 8 Ch 3: Solving Problems

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44 Questions

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

Aligning the decimal points

What is the first step in multiplying decimal fractions?

Convert to whole numbers

What is the final step in multiplying decimal fractions?

Divide by a power of 10

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

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

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

Dividing the total amount saved by the weekly savings amount

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

To ensure accurate calculations

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

Dividing by the power of 10 used earlier

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

Align decimal points, then add or subtract as with whole numbers

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

To convert the numbers to whole numbers

When dividing decimal numbers, what is the first step?

Convert the divisor to a whole number

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

Weight = Volume × Weight per unit volume

What is the final step in multiplying decimal numbers?

Adjust the result to the correct decimal place

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

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

To convert decimals to whole numbers

What is the correct step when dividing decimal numbers?

Convert the divisor to a whole number and then divide

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

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

Volume multiplied by the weight per unit volume

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

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

To eliminate the decimals

What is the primary step in dividing decimal fractions?

Multiply both the dividend and the divisor by a power of 10

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

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

To simplify the calculation

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

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

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

It simplifies the calculation

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

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

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

It makes the calculation easier to perform

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

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

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.

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.

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.

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

To place the decimal point in the correct position.

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

Convert the total amount to a decimal fraction.

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.

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

Divide the total amount saved by the weekly savings amount.

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

Align the decimal points and then add or subtract.

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

Multiplying the volume by the weight per unit volume

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

To ensure accurate placement of the decimal point

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

It reduces the chance of errors

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

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

Multiplying the weight by the cost per unit weight

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