Understand Place Value
What value(s) are equivalent to 0.03?
0.003 x 10
0.3 / 10
What is 1 million written as a power of 10 in exponent form?
106
(7 x 10) + (4 x 1/10) + (6 x 1/1000)
70.406
Julie weighs five watermelons and rounds the weights to the nearest hundredth. Which of the weights round to 7.43 pounds?
Choose all the correct answers.
A 7.429 pounds B 7.437 pounds
C 7.433 pounds D 7.413 pounds
E 7.425 pounds
A
C
E
Tanya needs to write the number twenty-one and twelve thousandths as a decimal on her science lab report. How should she write this in standard form?
21.012
Fill in the numbers missing from these patterns. Write your answers in the blanks.
Multiply by 10: 0.003, ________, 0.3, ________, 30, 300
0.03
3
Which equations are true? Choose all the correct answers.
A 600 ÷ 103 = 6
B 3 × 102 = 300
C 50 × 103 = 5,000
D 0.03 × 102 = 300
E 0.6 ÷ 102 = 0.006
B
E
Write the following decimal in word form
0.354
three hundred fifty-four thousandths
Ian and Rosa race in a speed skating competition. Ian records a time
of 42.839 seconds. Rosa records a time of 42.782 seconds.
Which statement is true?
A Rounded to the nearest tenth of a second, the times are equal.
B Rosa’s time is closer to 42.79 seconds than to 42.78 seconds.
C Ian’s time is closer to 42.83 seconds than to 42.84 seconds.
D Rounded to the nearest hundredth of a second,
Rosa’s time is greater than Ian’s.
A
Nurses at a hospital weigh five newborn babies and round the weights to the nearest whole number. Which of the weights round to 8 pounds?
Choose all the correct answers.
A 8.075 pounds
B 7.099 pounds
C 7.561 pounds
D 8.501 pounds
E 7.800 pounds
A
C
E
Fill in the numbers missing from these patterns. Write your answers in the blanks.
Divide by 10: 800, ________, 8, 0.8, 0.08, ________
80
0.008
Find the unknown exponent for the following equation:
0.025 × 10□ = 2.5
2
Write the following number in expanded form
eight and ninety-five thousandths
(8 x 1) + (9 x 1/100) + (5 x 1/1000)
Isabella ran the 100-meter dash five times. The times it took her to complete
these races, in seconds, were 12.7, 12.807, 12.78, 12.08, and 12.087.
What was the fewest number of seconds it took Isabella to complete the race?
12.08 seconds
A jeweler weighs some pieces of gold before making them into rings. She writes the following weights measured in ounces: 4.7, 4.898, 4.98, 4.39, 4.071.
How many ounces did the heaviest piece of gold weigh?
4.98
Complete the equations to show the relationships between the numbers.
Write your answers in the blanks.
a. 4 = __________ ×10
b. 0.04 = __________ ×10
c. 0.4 = __________ ×10
d. 40 = __________ ×10
a. 0.4
b. 0.004
c. 0.04
d. 4
Find the unknown exponent for the following equation:
0.25 × 10□ = 25,000
5
Write the expanded number in decimal form
(8 x 1) + (9 x 1/100) + (5 x 1/1000)
8.095
Ms. Santos creates a wire sculpture. Each piece of wire is about 6.6 inches long. Before using a piece of wire, she rounds the length to the nearest tenth of an inch.
Decide if each length rounds to 6.6 inches.
6.538 inches
6.647 inches
6.687 inches
6.56 inches
6.65 inches
No
Yes
No
Yes
No
A golf ball has a mass of 0.04 kg and a football has a mass of 0.4 kg.
How is the mass of the football related to the mass of the golf ball?
Write a sentence or equation to show your answer.
The mass of the football is 10 tens more than the mass of the golf ball.
A tennis ball has a mass of 0.06 kg and a basketball has a mass of 0.6 kg. How are the masses of the tennis ball and basketball related?
The basketball is ten times more than the tennis ball.
The tennis ball is ten times less then the basketball.
Noah’s family takes a trip. They travel 5.26 miles multiplied by 102 miles each day. How many miles do they travel each day?
They travel 526 miles a day
Tyler’s coin weighs two hundred thirty-one thousandths of an ounce. Write an expression to correctly represent the weight of the coin.
0.231
or
2/10 + 3/100 + 1/1000
Choose >, <, or = to compare each pair of numbers
19.657 ___ 19.67
5.421 ___ 5.4
70.24 ___ 70.240
45.386 ___ 45.368
<
>
=
>
Duncan told his friend Binh that when you multiply any number by 102, you can just write two zeros after the last digit of the number. He gives the example
4 × 102 = 400 to prove that this is always true. Binh disagrees and says that the product 0.4 × 102 shows that Duncan’s rule is not always true.
Who is correct?
Binh is correct