The expression
8 × 1,000 + 4 × 100 + 7 × 1/10 + 3 × 1/1,000
shows a number written in expanded form.
Write the number in decimal form.
8,400.703
Write the missing power of 10 in each equation. Write your answers in the blanks.
a. 0.06 × = 6
b. × 0.3 = 300
c. 0.50 × = 5
d. × 0.004 = 40
102
103
101
104
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.
A 1.48 pounds
B 1.42 pounds
C 1.45 pounds
D 1.58 pounds
E 1.52 pounds
A, C, E
Which expressions are equivalent to 1.5? Choose all the correct answers.
A 0.15 × 100
B 15.0 ÷ 10
C 0.15 × 10
D 0.15 ÷ 10
E 1.5 ÷ 100
B,C
Which equation represents the relationship between the numbers 0.09 and 0.9?
A 0.09 X 100 = 0.9 B 0.9 X 100 = 0.09
C 0.9 ÷ 10 = 0.09 D 0.09 ÷ 10 = 0.9
C
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?
$11.51
Which expressions represent the sum 13.76 + 2.8?
Choose all the correct answers.
A 14 + 4/100
B 1 ten + 6 ones + 5 tenths + 6 hundredths
C fourteen and four hundredths
D 15.84
E sixteen and fifty-six hundredths
F fifteen and fifty-six hundredths
Choose >, <, or = to compare each pair of numbers.
6.209 □ 6.29
71.6 □ 71.63
0.842 □ 0.824
0.09 □ 0.090
5.31 □ 5.13
less than
less than
greater than
equal to
greater than
Liam mixed together 1 1/4 quarts of orange juice and 2 1/2 quarts of pineapple juice. Then he added 1 1/2 quarts of seltzer to make punch. How much more juice than seltzer did Liam use to make punch?
2 1/4 quarts
Write the missing power of 10 in each equation.
a. 0.80 × ______ = 8
b. ______ × 0.002 = 20
c. 0.04 × ______= 4
d. ______× 0.5 = 500
101
104
102
103
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 oz
What is 10,000 written as a power of 10 in exponent form?
104
Free 300 Points!
300 Points
Mr. Kwan organizes his rock collection by mass. He thinks each rock is about 7.6 grams. He rounds the masses to the nearest tenth.
Choose each mass that rounds to 7.6 grams.
A. 7.613 grams
B. 7.539 grams
C. 7.49 grams
D. 7.612 grams
E. 7.57 grams
Jake buys 1 1/2 yards of cloth. He uses 2/3 yard for a craft project. How much cloth, in yards, does Jake have left? Show your work.
5/6 yard
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?
A 12.012
B 21.121
C 21.12
D 21.012
D
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 oz
What is 100,000 written as a power of 10 in exponent form?
A 103
B 104
C 105
D 106
105
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 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 times the mass of the golf ball because 0.4 kg is 10 times greater than 0.04 kg.
The mass of the golf ball is 10 times less than the mass of the football.
0.04 x 10 = 0.4
Darius uses 2 3/4 cups of strawberries and 3 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.
Darius is not correct because he did not consider the fractions when adding.
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?
23.32 cm
Kristin has 3 2/3 yards of plaid ribbon. She has 2 5/6 yards of polka-dot ribbon. Estimate how many yards of ribbon Kristin has in all. Explain how you know
your estimate is reasonable.
7 yards because 3 2/3 is close to 4 and 2 5/6 is close to 3.
4+3=7
Kristin has 3 2/3 yards of plaid ribbon. She has 2 5/6 yards of polka-dot ribbon. How many yards of ribbon does Kristin have in all?
6 1/2 yards of ribbon
Kristin has 3 2/3 yards of plaid ribbon. She has 2 5/6 yards of polka-dot ribbon. How much more plaid ribbon than polka-dot ribbon does Kristin have?
5/6 more yards of plaid than polka-dot