Understanding of Place Value
Complete the comparison statements.
0.05 is ______ of 0.5
0.05 is ______ times the value of 0.05
1/10
10
Solve: 0.7 - 0.31= ______
18.88
0.39
3/8 + 5/12=
7/10-3/5=
19/24
1/10
Solve:
19.657 ___ 19.67
5.421 ___ 5.4
70.24 ___ 70.240
45.386 ___ 45.368
Less
Greater
Equal
Greater
Write the word form into decimal number.
1. three and fifty-four thousandths
2. three hundred fifty-four thousandths
3. three and five hundred forty thousandths
1. 3.054
2. 0.354
3. 3.540
Complete the equations to show the relationships between the numbers. Fill in the blanks.
4=______x10
0.04=______x10
0.4=______x10
40=______x10
0.4
0.004
0.04
4
Brooklyn's tablet records her screen time. One week, she spends 11.03 hours listening to music, 2.67 hours reading, and 0.9 hours playing games on her tablet. What is Brooklyn's total screen time?
14.60 hours
Kevin...
Reads 1/3
Homework 3/4
Play soccer 4/6
Practice piano 1/2
How many hours will it take Kevin to complete all of his tasks? Show your work.
1/3+3/4+4/6+1/2
=4/12+9/12+8/12+6/12
=27/12
=2 1/4
Round each decimal to the nearest tenth.
12.745= _____
645.059= _____
12.75= _____
0.709= _____
12.7
645.1
12.8
0.7
What is (7x1)+(4x1/10)+(6x1/1000) written as a decimal in standard form?
7.406
Finding 1/10 of a number is the same as multiplying the number by 0.1. Complete each sentence and then write the sentence as a multiplication equation.
A. 0.03 is 1/10 of ______
B. ______ is 1/10 of 3.0.
A. 0.03 = 0.1 x 0.3
B. 0.3 = 0.1 x 3.0
Three limes weigh 4.28 ounces, 4.82 ounces, and 2.85 ounces. What is the difference between the weights of the heaviest lime and the lightest lime? Show your work.
4.82=2.85+W
2.85+0.15=3.00
3.00+1.82=4.82
W=0.15+1.82
W=1.97
A town park has two biking trails. Marsh trail is 5 3/10 miles long. Woodland trail is 2 4/5 miles long. How much longer is marsh trail than woodland trail? Show your work.
5 3/10-2 4/5=?
5 3/10-2 8/10=?
4 13/10-2 8/10= 2 5/10
Marsh trail is 2 5/10 miles longer.
Write three decimal numbers that can round to 5.
Answer may vary
Tyler's coin weighs two hundred thirty-one thousandths of an ounce. Write the expression down in decimal number.
0.231
A scientist studies insect that eats mosquitoes. A mosquito has a mass of 0.005 gram. The scientist studies a damselfy that has a mass of 0.05 gram and a dragonfly that has a mass of 0.5 gram. Write each measurement in the place value chart below.
Mosquito 0.005
Damselfly 0.05
Dragonfly 0.5
A U.S penny has a mass of 2.5 grams. A U.S. quarter has a mass of 5.67 grams. What is the total mass of the two coins? Show your work.
2.5+5.67=2+0.5+5+0.67
=2+5+0.5+0.67
=7+1.17
=8.17
Kevin says it will take him less than 1 hour to do homework, play soccer, and practice piano because these tasks will take a total of 8/12 hour. Is he correct? Explain.
Kevin is not correct. Kevin incorrectly added the numerators and denominators of the fractions to get his total of 8/12. He should have rewritten the fractions with a common denominator and then added.
A grocery store charges to the nearest tenth of a pound for tomatoes. Nayati has 2.386 pounds of tomatoes. How many pounds of tomatoes does the store charge Nayati for? Show your work with a number line.
2.35 ------- 2.386 ---- 2.40
Cameron ran the 100-meter dash in 89.023 seconds. Which of the following expresses this time in words?
eighty-nine and twenty-three thousandths seconds
A tennis ball has a mass of 0.06 kilograms and a basketball has a mass of 0.6 kilograms. How is the mass of the basketball related to the mass of the tennis ball? Write a sentence or equation to show your answer.
The mass of the basketball, 0.06 kg, is 10 time the mass of the tennis ball, 0.06 kg. The digit 6 in 0.06 is moved one place to the left in 0.6 , so 0.6 is 10 times 0.06.
Sam is looking at cell phone plans. A local company offers a monthly plan for $58.95. The company is having a sale and offering a discount of $4.75 off the monthly plan. Same says that the new cost is $11.45. Is he correct? Explain.
No, Sam forgot to line up the decimal points when he subtracted $4.75 from $58.95. The new cost is $54.20.
A male polar bear is 2 7/9 meters long. A female polar bear is 1 5/6 meters long. Sidney thinks the male polar bear is 1 2/3 meters longer than the female polar bear. She is incorrect. How did she get that answer?
First she subtracted the whole numbers. Without finding a common denominator, she subtracted both the numerators and denominators of the fractional part.
Isabella runs the 100-meter dash five times. The times it takes her to complete these races, in seconds, are 12.7, 12.807, 12.78, 12.08, and 12.087. What is the fewest number of seconds it takes Isabella to complete the race?
12.08
Write down an expression that represent the decimal 57.036.
Answer may vary....
57+3/100+6/1000
57+36x0.001