Topic 1 Test

Front

What is the formula to estimate the total cost when given the price per pound and the total weight in pounds?

Back

Estimate total cost by multiplying the weight (in pounds) by the price per pound. For example, if the weight is 15.5 pounds and the price is $3.98 per pound, estimate by rounding to 16 pounds and multiplying by 4 (16 x 4 = $64).

Front

How do you calculate the total amount of money collected from selling an item?

Back

Multiply the total weight of the item sold by the price per unit. For example, if 15.5 pounds of trail mix are sold at $3.98 per pound, the total collected is 15.5 x 3.98 = $61.69.

Front

What does it mean for one object to be a certain multiple of another object’s height?

Back

It means to multiply the height of the smaller object by that number. For example, if a building is 3 and 3/4 times taller than a statue that is 248 feet tall, the building's height is 248 x 3.75 = 930 feet.

Front

How do you find the total weight of ingredients used in a recipe?

Back

Add the weights of all ingredients together. For example, if Pat has 21.5 pounds of flour, 8 pounds of butter, and 18.5 pounds of sugar, the total weight is 21.5 + 8 + 18.5 = 48 pounds.

Front

How do you determine the amount of ingredients used per batch in a recipe?

Back

Divide the total weight of ingredients by the number of batches. For example, if Pat uses 48 pounds of ingredients for 12 batches, then each batch uses 48 / 12 = 4 pounds.

Front

What is the process to find out how many items can be made with a given amount of material?

Back

Divide the total amount of material by the amount needed for one item. For example, if Tanya has 8.05 yards of fabric and needs 1.25 yards for each costume, she can make 8.05 / 1.25 = 6.44, which means she can make 6 costumes.

Front

What is the importance of placing a decimal correctly in a division problem?

Back

Placing the decimal correctly ensures accurate division results. For example, if dividing 8.05 by 1.25, the decimal must be considered to get the correct number of costumes.

Front

What is the significance of estimating in problem-solving?

Back

Estimating helps to quickly assess the reasonableness of an answer and can simplify calculations. It provides a ballpark figure before performing exact calculations.

Front

How do you convert a mixed number to an improper fraction?

Back

Multiply the whole number by the denominator and add the numerator. For example, 3 and 3/4 becomes (3 x 4 + 3)/4 = 15/4.

Front

What is the relationship between multiplication and division in solving word problems?

Back

Multiplication is used to find total amounts, while division is used to find how many times a number fits into another. They are inverse operations.