Unit 2 Pre-Test: Decimals and Fractions

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The expression 8 \times 1,000 + 4 \times 100 + 7 \times \frac{1}{10} + 3 \times \frac{1}{1,000} shows a number written in expanded form. Use the expression to write the number in decimal form. Write your answer in the blank.

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Kyle has three pieces of rope. The lengths of the ropes are 241.6 centimeters, 241.38 centimeters, and 264.7 centimeters. What is the difference in length between the longest and shortest pieces of rope? Show your work.

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Raj weighs five books and rounds the weights to the nearest tenth. Which of the weights round to 1.5 pounds?
Choose all the correct answers.

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Which expressions are equivalent to 1.5? Choose all the correct answers.

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Lauren runs 2.76 miles in a track event. Then she runs 0.4 mile home after the event. Which model represents the total number of miles Lauren runs?

2 ones + 7 tenths + 6 hundredths

A number line ranging from 2.7 to 3.2 with markings at intervals of 0.1. An arrow starts at 2.76 and ends at 3.16.

3 ones + 16 tenths

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Liam mixes together 1 \frac{1}{4} quarts of orange juice and 2 \frac{1}{2} quarts of pineapple juice. Then he adds 1 \frac{1}{2} quarts of seltzer to make punch. How much more juice than seltzer does Liam use to make punch? Show your work.

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Write the missing power of 10 in each equation.

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The model below represents the sum of two mixed numbers.
Write and solve an equation that shows the sum represented by the model. Show your work.

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Darius uses 2 \frac{3}{4} cups of strawberries and 3 \frac{1}{3} cups of blueberries to make a fruit salad. He says this will make less than 6 cups of fruit salad because 2 + 3 = 5.
Is he correct? Explain.

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What is 10,000 written as a power of 10 in exponent form?
Write your answer in the blank.

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Kristin has 3 \frac{2}{3} yards of plaid ribbon. She has 2 \frac{5}{6} yards of polka-dot ribbon.
Part A
Estimate how many yards of ribbon Kristin has in all. Explain how you know your estimate is reasonable.

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Part B
How many yards of ribbon does Kristin have in all? Show your work.
Solution

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Unit 2 Pre-Test: Decimals and Fractions

The expression 8 \times 1,000 + 4 \times 100 + 7 \times \frac{1}{10} + 3 \times \frac{1}{1,000} shows a number written in expanded form. Use the expression to write the number in decimal form. Write your answer in the blank.

Kyle has three pieces of rope. The lengths of the ropes are 241.6 centimeters, 241.38 centimeters, and 264.7 centimeters. What is the difference in length between the longest and shortest pieces of rope? Show your work.

Raj weighs five books and rounds the weights to the nearest tenth. Which of the weights round to 1.5 pounds?Choose all the correct answers.

Which expressions are equivalent to 1.5? Choose all the correct answers.

Lauren runs 2.76 miles in a track event. Then she runs 0.4 mile home after the event. Which model represents the total number of miles Lauren runs?

Liam mixes together 1 \frac{1}{4} quarts of orange juice and 2 \frac{1}{2} quarts of pineapple juice. Then he adds 1 \frac{1}{2} quarts of seltzer to make punch. How much more juice than seltzer does Liam use to make punch? Show your work.

Write the missing power of 10 in each equation.

The model below represents the sum of two mixed numbers.Write and solve an equation that shows the sum represented by the model. Show your work.

Darius uses 2 \frac{3}{4} cups of strawberries and 3 \frac{1}{3} cups of blueberries to make a fruit salad. He says this will make less than 6 cups of fruit salad because 2 + 3 = 5.Is he correct? Explain.

What is 10,000 written as a power of 10 in exponent form?Write your answer in the blank.

Kristin has 3 \frac{2}{3} yards of plaid ribbon. She has 2 \frac{5}{6} yards of polka-dot ribbon.Part AEstimate how many yards of ribbon Kristin has in all. Explain how you know your estimate is reasonable.

Part A

Part BHow many yards of ribbon does Kristin have in all? Show your work.Solution

Part B

Part CHow much more plaid ribbon than polka-dot ribbon does Kristin have? Show your work.Solution

Part C

The expression 8 \times 1,000 + 4 \times 100 + 7 \times \frac{1}{10} + 3 \times \frac{1}{1,000} shows a number written in expanded form. Use the expression to write the number in decimal form. Write your answer in the blank.

Kyle has three pieces of rope. The lengths of the ropes are 241.6 centimeters, 241.38 centimeters, and 264.7 centimeters. What is the difference in length between the longest and shortest pieces of rope? Show your work.

Raj weighs five books and rounds the weights to the nearest tenth. Which of the weights round to 1.5 pounds?Choose all the correct answers.

Which expressions are equivalent to 1.5? Choose all the correct answers.

Jake buys 1 \frac{1}{2} yards of cloth. He uses \frac{2}{3} yard for a craft project. How much cloth, in yards, does Jake have left? Show your work.

Lena has $7.00. She earns $10.50 for walking dogs. Then she spends $5.99 for a pair of earrings. How much money, in dollars, does Lena have left? Record your answer on the grid. Then fill in the bubbles.

Which expressions represent the sum 13.76 + 2.8? Choose all the correct answers.

Lauren runs 2.76 miles in a track event. Then she runs 0.4 mile home after the event. Which model represents the total number of miles Lauren runs?

Choose >, <, or = to compare each pair of numbers.

Liam mixes together 1 \frac{1}{4} quarts of orange juice and 2 \frac{1}{2} quarts of pineapple juice. Then he adds 1 \frac{1}{2} quarts of seltzer to make punch. How much more juice than seltzer does Liam use to make punch? Show your work.

Write the missing power of 10 in each equation.

The model below represents the sum of two mixed numbers.Write and solve an equation that shows the sum represented by the model. Show your work.

Darius uses 2 \frac{3}{4} cups of strawberries and 3 \frac{1}{3} cups of blueberries to make a fruit salad. He says this will make less than 6 cups of fruit salad because 2 + 3 = 5.Is he correct? Explain.

What is 10,000 written as a power of 10 in exponent form?Write your answer in the blank.

Kristin has 3 \frac{2}{3} yards of plaid ribbon. She has 2 \frac{5}{6} yards of polka-dot ribbon.Part AEstimate how many yards of ribbon Kristin has in all. Explain how you know your estimate is reasonable.

Part A

Part BHow many yards of ribbon does Kristin have in all? Show your work.Solution

Part B

Part CHow much more plaid ribbon than polka-dot ribbon does Kristin have? Show your work.Solution

Part C

Jake buys 1 \frac{1}{2} yards of cloth. He uses \frac{2}{3} yard for a craft project. How much cloth, in yards, does Jake have left? Show your work.

Lena has $7.00. She earns $10.50 for walking dogs. Then she spends $5.99 for a pair of earrings. How much money, in dollars, does Lena have left? Record your answer on the grid. Then fill in the bubbles.

Which expressions represent the sum 13.76 + 2.8? Choose all the correct answers.

Choose >, <, or = to compare each pair of numbers.

Raj weighs five books and rounds the weights to the nearest tenth. Which of the weights round to 1.5 pounds?
Choose all the correct answers.

The model below represents the sum of two mixed numbers.
Write and solve an equation that shows the sum represented by the model. Show your work.

Darius uses 2 \frac{3}{4} cups of strawberries and 3 \frac{1}{3} cups of blueberries to make a fruit salad. He says this will make less than 6 cups of fruit salad because 2 + 3 = 5.
Is he correct? Explain.

What is 10,000 written as a power of 10 in exponent form?
Write your answer in the blank.

Kristin has 3 \frac{2}{3} yards of plaid ribbon. She has 2 \frac{5}{6} yards of polka-dot ribbon.
Part A
Estimate how many yards of ribbon Kristin has in all. Explain how you know your estimate is reasonable.

Part B
How many yards of ribbon does Kristin have in all? Show your work.
Solution

Part C
How much more plaid ribbon than polka-dot ribbon does Kristin have? Show your work.
Solution

Raj weighs five books and rounds the weights to the nearest tenth. Which of the weights round to 1.5 pounds?
Choose all the correct answers.

The model below represents the sum of two mixed numbers.
Write and solve an equation that shows the sum represented by the model. Show your work.

Darius uses 2 \frac{3}{4} cups of strawberries and 3 \frac{1}{3} cups of blueberries to make a fruit salad. He says this will make less than 6 cups of fruit salad because 2 + 3 = 5.
Is he correct? Explain.

What is 10,000 written as a power of 10 in exponent form?
Write your answer in the blank.

Kristin has 3 \frac{2}{3} yards of plaid ribbon. She has 2 \frac{5}{6} yards of polka-dot ribbon.
Part A
Estimate how many yards of ribbon Kristin has in all. Explain how you know your estimate is reasonable.

Part B
How many yards of ribbon does Kristin have in all? Show your work.
Solution

Part C
How much more plaid ribbon than polka-dot ribbon does Kristin have? Show your work.
Solution