A baker needs exactly $$7.25 \\text{ kilograms (kg)}$$ of flour to complete an order. Which pairs of bags have a combined mass of exactly $$7.25 \\text{ kg}$$ ? Select all that apply.

$$2.38 \\text{ kg}$$ and $$4.87 \\text{ kg}$$

$$1.66 \\text{ kg}$$ and $$5.59 \\text{ kg}$$

$$4.41 \\text{ kg}$$ and $$2.84 \\text{ kg}$$

$$3.55 \\text{ kg}$$ and $$3.60 \\text{ kg}$$

$$5.19 \\text{ kg}$$ and $$2.16 \\text{ kg}$$

A student solved the addition problem $$24.58 + 13.75$$ as shown in the image. Which statement best describes the error the student made during the calculation?

The hundredths place was added incorrectly because $$8 + 5$$ is $$12$$ .

The tens column was added incorrectly because $$2 + 1$$ is $$4$$ .

When adding $$2.4$$ and $$1.25$$ , which rule must be followed to set up the problem correctly?

$$2.4 + 1.25$$ with the decimal points aligned vertically

$$2.4 + 1.25$$ with $$4$$ aligned over $$5$$

$$2.4 + 1.25$$ with $$2$$ aligned over $$5$$

$$2.4 + 1.25$$ with the rightmost digits aligned

Leo attempted to solve $$9.32 - 4.27$$ and calculated a difference of $$5.15$$ . Based on place value logic, which statement best explains why his result is unreasonable?

Leo subtracted $$7$$ hundredths from $$2$$ hundredths without regrouping a tenth into $$10$$ hundredths.

Leo subtracted $$2$$ tenths from $$3$$ tenths instead of regrouping from the ones place.

Leo correctly regrouped $$1$$ one into $$10$$ tenths but forgot to subtract from the ones place later.

Leo rounded both numbers to the nearest whole number before performing the subtraction.

Liam compares the total cost of two groups of school supplies. Group A contains a notebook for $$\\$3.85$$ and a pack of pencils for $$\\$2.40$$ , while Group B contains a binder for $$\\$4.55$$ and a ruler for $$\\$1.95$$ . Which group is more expensive and by how much?

Group B is more expensive by $$\\$0.25$$

Group A is more expensive by $$\\$0.55$$

Group A is more expensive by $$\\$0.15$$

Group B is more expensive by $$\\$1.25$$

A student is solving the problem $$4.6 - 1.25$$ by lining up the decimal points. The student writes $$4.60$$ instead of $$4.6$$ before subtracting. Which statement best explains why using the placeholder zero in the hundredths place is helpful?

A placeholder zero is needed to show there are $$0$$ hundredths in $$4.6$$ , allowing for regrouping from the tenths place.

A placeholder zero is needed to change the $$3$$ in the ones place to a $$30$$ in the tens place.

A placeholder zero is needed to ensure the decimal points do not line up during the subtraction process.

A placeholder zero is needed because subtracting a larger digit from a smaller digit always results in zero.

A length of rope is $$12 \text{ meters}$$ long. A piece measuring $$7.43 \text{ meters}$$ is cut off. To find the remaining length, how should the subtraction problem be set up in the place value chart to ensure the digits are correctly aligned?

Write $$12.00$$ in the top row, then place $$7$$ in the ones, $$4$$ in the tenths, and $$3$$ in the hundredths.

Place $$7$$ in the tenths column, $$4$$ in the hundredths column, and $$3$$ in a new thousandths column.

Place $$7$$ in the tens column, $$4$$ in the ones column, and $$3$$ in the tenths column.

Write $$7.43$$ in the top row and $$12.00$$ in the second row to subtract the smaller digits first.

Leo buys a model airplane for $$\\$12.45$$ and a bottle of glue for $$\\$3.80$$ . He pays with a $$\\$20.00$$ bill. Which set of steps can Leo use to find the amount of change he should receive?

Add $$\\$12.45$$ and $$\\$3.80$$ to find the total cost, then subtract that sum from $$\\$20.00$$ .

Subtract $$\\$12.45$$ and $$\\$3.80$$ from $$\\$20.00$$ , then add the two results together.

Add $$\\$20.00$$ , $$\\$12.45$$ , and $$\\$3.80$$ together to find the total sum.

Subtract $$\\$12.45$$ from $$\\$20.00$$ , then add $$\\$3.80$$ to that difference.

Leo has a budget of $$\$20.00$$ to spend at a store. Which combinations of two items can he buy without going over his budget? Select all that apply.

A notebook for $$\$6.38$$ and a box of markers for $$\$13.59$$

A model plane for $$\$14.25$$ and a glue stick for $$\$5.60$$

A puzzle for $$\$7.45$$ and a board game for $$\$12.75$$

A sports ball for $$\$11.82$$ and a water bottle for $$\$8.45$$

A t-shirt for $$\$12.99$$ and a pair of socks for $$\$7.15$$

Two identical empty shipping boxes each weigh exactly $$5 \\text{ kg}$$ . Box A contains a machine part weighing $$1.45 \\text{ kg}$$ , and Box B contains a machine part weighing $$1.57 \\text{ kg}$$ . After subtracting the weight of the machine part from the total weight for each box, which statement correctly compares the remaining weight of the two boxes?

Box A is $$0.12 \\text{ kg}$$ heavier than Box B.

Box A and Box B have the same weight.

Box B is $$0.12 \\text{ kg}$$ heavier than Box A.

Box A is $$1.12 \\text{ kg}$$ heavier than Box B.

Leo buys a backpack for $$\$20.89$$ , a water bottle for $$\$9.25$$ , and a set of markers for $$\$12.75$$ . The cashier says his total is $$\$34.50$$ . Is the cashier's total reasonable? Use estimation by rounding each price to the nearest whole dollar to decide.

No, because $$\$21 + \$9 + \$13 = \$43$$ .

Yes, because $$\$20 + \$10 + \$10 = \$40$$ .

Yes, because $$\$21 + \$10 + \$13 = \$44$$ .

No, because $$\$20 + \$9 + \$12 = \$41$$ .

Leo spends $$\\$12.58$$ on a backpack and $$\\$9.24$$ on a lunchbox. The actual total cost is $$\\$21.82$$ . Which rounding strategy results in an estimate closest to the actual total sum?

Rounding to the nearest whole number gives an estimate of $$22$$ .

Rounding to the nearest whole number gives an estimate of $$21$$ .

Rounding to the nearest tenth gives an estimate of $$21.7$$ .

Rounding to the nearest tenth gives an estimate of $$21.9$$ .

A science student measures the lengths of several insects for a project. Which pairs of lengths have a difference of exactly twenty-five hundredths of a centimeter? Select all that apply.

$$8.9 \text{ cm}$$ and $$9.15 \text{ cm}$$

$$6.3 \text{ cm}$$ and $$6.05 \text{ cm}$$

$$12.45 \text{ cm}$$ and $$12.5 \text{ cm}$$

$$15.05 \text{ cm}$$ and $$15.2 \text{ cm}$$

$$20.75 \text{ cm}$$ and $$21.1 \text{ cm}$$

Which of the following models correctly represent the addition of $$0.4$$ and $$0.04$$ ? Select all that apply.

A hundreds grid with $$4$$ full columns shaded and $$4$$ individual small squares shaded.

The expression $$\frac{40}{100} + \frac{4}{100}$$ rewritten to show the sum of the shaded parts.

A number line starting at $$0$$ with a jump of $$0.04$$ followed by another jump of $$0.04$$ .

A place value chart showing $$4$$ counters in the ones place and $$4$$ counters in the hundredths place.

A base-ten model using $$4$$ unit cubes to represent the first value and $$4$$ rods to represent the second value.

Which visual models correctly represent the subtraction of $$0.05$$ from $$0.3$$ ? Select all that apply.

A hundredths grid with $$3$$ full columns shaded, and $$5$$ small squares in one of those columns are crossed out.

A place value chart showing $$3$$ counters in the tenths place, where $$1$$ tenth is exchanged for $$10$$ hundredths so that $$5$$ hundredths can be removed.

A hundredths grid with $$3$$ small squares shaded, and $$5$$ of those squares are crossed out.

A base-ten model showing $$5$$ rods, with $$3$$ unit cubes being removed.

A number line starting at $$0.05$$ with an arrow jumping forward $$0.3$$ units to end at $$0.35$$ .

A student is weighing different items for a science project. Select all the combined pairs of weights that result in a total sum that is a whole number. Select all that apply.

$$4.38 \\text{ meters}$$ of fabric and $$5.62 \\text{ meters}$$ of fabric

$$2.73 \\text{ kilograms}$$ of apples and $$1.27 \\text{ kilograms}$$ of apples

$$6.45 \\text{ pounds}$$ of soil and $$3.65 \\text{ pounds}$$ of soil

$$7.19 \\text{ liters}$$ of water and $$2.91 \\text{ liters}$$ of water

$$5.04 \\text{ grams}$$ of salt and $$4.06 \\text{ grams}$$ of salt

Match each situation involving two decimal weights with the total weight when the numbers are added together using regrouping.

A box weights $$4.55 \text{ kg}$$ and another box weighs $$3.45 \text{ kg}$$ .

A bag holds $$2.18 \text{ kg}$$ and another bag holds $$1.82 \text{ kg}$$ .

One crate weighs $$5.37 \text{ kg}$$ and a second crate weighs $$1.63 \text{ kg}$$ .

A small parcel is $$0.76 \text{ kg}$$ and a larger parcel is $$1.24 \text{ kg}$$ .

A farmer sells $$24.75$$ kilograms of apples and $$15.46$$ kilograms of pears. Which of the following sequences of steps correctly describe how to find the total mass of the fruit? Select all that apply.

Add $$24$$ and $$15$$ ones to get $$39$$ , then add $$0.70$$ and $$0.40$$ to get $$1.10$$ , and finally add $$0.05$$ and $$0.06$$ to get $$0.11$$ .

Align the numbers by the decimal point, add $$5$$ and $$6$$ hundredths to get $$11$$ hundredths, regroup $$1$$ tenth, add $$7 + 4 + 1$$ tenths to get $$12$$ tenths, and regroup $$1$$ one.

Add $$24.75 + 10 = 34.75$$ , then add $$34.75 + 5.46$$ by adding $$34 + 5 = 39$$ and $$0.75 + 0.46 = 1.11$$ .

Combine $$0.75$$ and $$0.46$$ to get $$1.31$$ , then add the whole numbers $$24$$ and $$15$$ to get $$39$$ .

Add $$24 + 15 = 39$$ , then add the tenths $$0.7 + 0.4 = 0.11$$ , and finally add the hundredths $$0.05 + 0.06 = 0.11$$ .

Match each real-world scenario to the decimal addition expression that correctly models the total amount.

A baker uses $$3.56 \text{ kg}$$ of flour for bread and $$2.65 \text{ kg}$$ for pastries.

A runner travels $$3.65 \text{ miles}$$ in the morning and $$2.56 \text{ miles}$$ in the afternoon.

A student spends $$\\$3.47$$ on a pen and $$\\$2.74$$ on a notebook.

A gardener mixes $$3.74 \text{ liters}$$ of water with $$2.47 \text{ liters}$$ of plant food.

5.NR.4.4 - Question_bank

Authored by Aadil Khurshid

Mathematics

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A student uses a base-ten model to add two decimals as shown in the image. What is the sum of the two decimals after regrouping the hundredths?

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DOK 2

Add two decimal numbers to the hundredths place...

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MATH RESPONSE QUESTION

2 mins • 1 pt

25.32

Mathematical Equivalence

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Add two decimal numbers to the hundredths place...

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A grocery clerk weighed a bunch of grapes and a pineapple on two separate scales. Based on the measurements shown on the scales, what is the combined weight of the two fruits?

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DOK 2

Blooms Level: Apply

Add two decimal numbers to the hundredths place...

MULTIPLE SELECT QUESTION

45 sec • 1 pt

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DOK 2

Add two decimal numbers to the hundredths place...

Blooms Level: Understand

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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Add two decimal numbers to the hundredths place...

DOK 1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The decimal point in the final answer is placed in the wrong position.

The regrouped ten tenths was not added to the ones column.

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Add two decimal numbers to the hundredths place...

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DRAG AND DROP QUESTION

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Add two decimal numbers to the hundredths place...

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5.NR.4.4 - Question_bank

A student uses a base-ten model to add two decimals as shown in the image. What is the sum of the two decimals after regrouping the hundredths?

A grocery clerk weighed a bunch of grapes and a pineapple on two separate scales. Based on the measurements shown on the scales, what is the combined weight of the two fruits?

A student used the shaded hundredths grids to model a subtraction problem. Based on the relationship shown between the two models, what is the final difference?

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