Powers of 10
Number Sense
Comparing Decimals
Number Forms
Rounding Decimals
100
What is 3 x 102 in standard form?
300
100
Part A- What are the next two numbers in the pattern? Enter your answers in the boxes.
0.007, 0.07, 0.7, 7, ____, ____
Part B- Each term is how many times as great as the term to its left?
A) 1/1,000
B) 1/100
C) 1/10
D) 10
E) 100
F) 1,000
Part A)- 70, 700
Part B)- D) 10
100
Compare the two decimals. Write <, >, or = in the box.
6.407 ☐ 6.47
6.407 < 6.47
100
The area of a park is about four thousand, eight hundred twenty-six and seventy-four hundredths acres. Which shows this number in standard form?
A) 4,826.74
B) 4,826.47
C) 4,862.74
D) 4,286.74
A) 4,826.74
100
Round 627.346 to the nearest tenth place.
A) 627.3
B) 627.4
C) 627.35
D) 627.5
B) 627.4
200
What is 9 x 104 in standard form?
90,000
200
Ryan shaded 70 squares on his hundredths grid. Sarah shaded 80 squares on her hundredths grid.
Select all the decimals that show how much of the grid Ryan shaded.
A) 0.700
B) 0.07
C) 0.7
D) 0.070
E) 0.70
A) 0.700
C) 0.7
E) 0.70
200
Which comparisons are true? Select all that apply.
A) 5.62 > 5.602
B) 3.407 > 3.47
C) 8.09 < 8.099
D) 6.125 < 6.13
A) 5.62 > 5.602
C) 8.09 < 8.099
D) 6.125 < 6.13
200
The area of Gateway National Recreation Area is about twenty-six thousand, six hundred six and sixty-three hundredths acres. Which shows this number in standard form?
A) 26,606.3
B) 26,606.63
C) 26,660.63
D) 26,666.3
B) 26,606.63
200
What is 453.782 rounded to the nearest tenth
453.8
300
Fill in the answers:
101 =
103=
102=
105=
104=
10
1,000
100
100,000
10,000
300
Jackson has 2,000 baseball cards in his collection. Gabe has 110 as many baseball cards in his collection as Jackson. How many baseball cards does Gabe have in his collection?
200
300
Which comparisons are true? Select all that apply.
A) 7.34 > 7.304
B) 1.628 > 1.63
C) 4.05 < 4.055
D) 9.103 < 9.13
E) 2.29 < 2.129
A) 7.34 > 7.304
C) 4.05 < 4.055
D) 9.103 < 9.13
300
What is 90.125 written in word form?
A) ninety-one and twenty-five hundredths
B) ninety-one and twenty-five thousandths
C) ninety and one hundred twenty-five tenths
D) ninety and one hundred twenty-five thousandths
D) ninety and one hundred twenty-five thousandths
300
Part A) A scientist measures the distance a toy car travels as 638.475 meters. What is 638.475 rounded to the nearest tenth?
Part B) Which explains how you round 638.475 to the nearest tenth?
A) Since the digit in the hundredths place is 7, increase the digit in the tenths place by 1 and drop the remaining digits.
B) Since the digit in the thousandths place is 5, increase the digit in the hundredths place by 1 and drop the remaining digits.
C) Since the digit in the hundredths place is 7, keep the digit in the tenths place and drop the remaining digits.
D) Since the digit in the tenths place is 4, keep the digit in the tenths place and drop the remaining digits.
Part A: 638.5
Part B: A) Since the digit in the hundredths place is 7, increase the digit in the tenths place by 1 and drop the remaining digits.
400
Which expressions are equal to 7 × 10⁴? Select all that apply.
A) 7 × 1,000
B) 7 × 10,000
C) 7 × 100,000
D) 7 × 10 × 10 × 10 × 10
E) 7 × 10 × 10 × 10 × 10 × 10
B) 7 × 10,000
D) 7 × 10 × 10 × 10 × 10
400
Which numbers have a digit in the ones place that is 1/10 the value of the digit in the tens place? Select all that apply.
A) 4,033
B) 6,781
C) 5,044
D) 7,216
E) 8,099
A) 4,033
C) 5,044
E) 8,099
400
Ryan shaded 70 squares on his hundredths grid. Sarah shaded 80 squares on her hundredths grid.
Part A
Which value is greater than Ryan’s decimal and less than Sarah’s decimal?
A) 70/100 +4/100
B 60/100 +5/100
C) 80/100 +1/100
D) 80/100 +15/100
A) 70/100 +4/100
400
In math class, Alyssa’s average test score is 90.125.
What is 90.125 written in expanded form?
A) (9 ×10)+(1 ×1)+(2 ×1/10)+(5×1/100)
B) (9×1)+(1×1/10)+(2×1/100)+(5×1/1,000)
C) (9x10)+(1×1/10)+(2×1/100)+(5×1/1,000)
D)(9×1)+(1×1/100)+(2×1/1,000)+(5×1/10,000)
C) (9x10)+(1×1/10)+(2×1/100)+(5×1/1,000)
400
Part A
A scientist measures the length of a plant as 47.386 centimeters. What is 47.386 rounded to the nearest hundredth? Enter your answer in the box.
Answer: __________ cm
Part B
Which explains how you round 47.386 to the nearest hundredth?
A) Since the digit in the hundredths place is less than 5, keep the digit in the hundredths place. Then drop the digit in the thousandths place.
B) Since the digit in the hundredths place is less than 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place.
C) Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place.
D) Since the digit in the thousandths place is greater than or equal to 5, keep the digit in the hundredths place. Then drop the digit in the thousandths place.
Part A: 47.39
Part B: C) Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place.
500
Which expressions are equal to 8 × 105? Select all that apply.
A) 8 × 1,000
B) 8 × 10,000
C) 8 × 100,000
D) 8 × 10 × 10 × 10 × 10
E) 8 × 10 × 10 × 10 × 10 × 10
C) 8 × 100,000
E) 8 × 10 × 10 × 10 × 10 × 10
500
Which numbers have a digit in the ones place that is 1/10 the value of the digit in the tens place? Select all that apply.
A) 4,099
B) 4,110
C) 5,909
D) 5,011
E) 6,333
A) 4,099
D) 5,011
E) 6,333
500
Mrs. Bell has an interest rate of 4.175% on her house. Mr. Bentley has an interest rate of 4.25% on his house. Which explains who has the lower interest rate?
A) Mr. Bentley has the lower interest rate because both decimals have a 4 in the ones place, and 0 thousandths is less than 5 thousandths.
B) Mr. Bentley has the lower interest rate because both decimals have a 4 in the ones place, and 5 hundredths is less than 7 hundredths.
C) Mrs. Bell has the lower interest rate because both decimals have a 4 in the ones place, and 7 hundredths is less than 5 hundredths.
D) Mrs. Bell has the lower interest rate because both decimals have a 4 in the ones place, and 1 tenth is less than 2 tenths.
D) Mrs. Bell has the lower interest rate because both decimals have a 4 in the ones place, and 1 tenth is less than 2 tenths.
500
Danielle put 4.902 gallons of gasoline in a gas tank. What is 4.902 written in expanded form?
A)(4×1)+(9×1/10)+(2×1/100)
B) (4 ×1)+(9 ×1/10)+(2×1/1,000)
C) (4 ×10)+(9x1/10)+(2×1/100)
D) (4×10)+(9×1/100)+(2×1/1,000)
B) (4 ×1)+(9 ×1/10)+(2×1/1,000)
500
Part A) A racecar driver holds the record for the fastest speed of 212.809 miles per hour. What is 212.809 rounded to the nearest hundredth? Enter your answer in the box.
Part B) Which explains how you round 212.809 to the nearest hundredth?
A) Since the digit in the hundredths place is less than 5, keep the digit in the hundredths place. Then drop the digit in the thousandths place.
B) Since the digit in the hundredths place is less than 5, keep the digit in the tenths place. Then drop the digit in the hundredths and thousandths places.
C) Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place.
D) Since the digit in the thousandths place is greater than or equal to 5, keep the digit in the hundredths place. Then drop the digit in the thousandths place.
Part A- 212.81
Part B- C) Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place.