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.
Question 2
2.
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.
Question 3
3.
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0
Question 5
5.
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.
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Question 10
10.
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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Question 12
12.
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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Question 15
15.
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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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.
1.48 pounds
1.42 pounds
1.45 pounds
1.58 pounds
1.52 pounds
Question 4
4.
Question 6
6.
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.
Question 7
7.
Question 8
8.
Question 9
9.
Question 11
11.
Write the missing power of 10 in each equation.
Question 13
13.
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.
Question 14
14.
What is 10,000 written as a power of 10 in exponent form?
Write your answer in the blank.
Question 16
16.
Part B
How many yards of ribbon does Kristin have in all? Show your work.
Solution
Question 17
17.
Part C
How much more plaid ribbon than polka-dot ribbon does Kristin have? Show your work.
Solution
Which expressions are equivalent to 1.5? Choose all the correct answers.
0.15 \times 100
15.0 \div 10
0.15 \times 10
0.15 \div 10
1.5 \div 100
Which expressions represent the sum 13.76 + 2.8?
Choose all the correct answers.
14 + \frac{4}{100}
1 ten + 6 ones + 5 tenths + 6 hundredths
fourteen and four hundredths
15.84
sixteen and fifty-six hundredths
fifteen and fifty-six hundredths
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
Choose >, <, or = to compare each pair of numbers.