Exponents and Powers of 10
3 x 101 = ____
3 x 102 = ____
3 x 103 = ____
3 x 104 = ____
What are 30, 300, 3,000,30,000?
Write in standard form.
( 4 x 104) + (4 x 102)
40,000 + 400 = 40,400
Write the decimal as a fraction.
0.078
78/1000
Compare. 5.681 ______ 5.618
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Round 64.72 to the nearest whole.
65
6 x 10,000 = ______
Write 10,000 as an exponent and solve the problem.
What is 104? What is 60,000?
What is the value of the 7s in 6,778.
700, 70
Write the fraction as a decimal.
6/100
0.06
Order from greatest to least.
78.42, 78.95, 7.943, 80.76, 79.43
80.76, 79.43, 78.95, 78.42, 7.943
Round 934.781 to the nearest tenth.
934.8
Choose the equations that are true.
A. 6 x 105 = 6 x 100,000
B. 6 x 105 = 6 x 10,000
C. 6 x 105 = 600,000
D. 6 x 105 = 60,000
What are A and C?
Write 102,200 in expanded form 3 ways.
100,000 + 2,000 + 200 = 102,200
1 x 100,000 + 2 x 1,000 + 2 x 100 = 102,200
105 + (2 x 103) + 2 x 102) = 102,200
In a basketball tournament, John averaged 12.375 rebounds per game. What is 12.375 written in expanded form and word form?
10 + 2 + (3 x 1/10) + (7 x 1/100) + (5 x 1/1000)
or
10 + 2 + (3 x 0.1) + (7 x 0.01) + (5 x 0.001)
Twelve and three hundred seventy-five thousandths
Select all the comparisons that are true.
A. 4.15 > 4.051
B. 1.054 > 1.45
C. 5.14 < 5.041
D. 5.104 < 5.41
E. 5.014 < 5.14
A, D, E
Round 7,131.06 to the nearest thousand.
7000
Why are their 3 zeros in the product of 6 x 103?
Since the exponent on the power of 10 is 3, there are 3 zeros in the product.
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. 9,077
B. 9,884
C. 1,303
D. 1,055
E. 3,222
A, D, E
Complete the sentences to make true statements.
4 is 100 times ________.
0.04 is 10 times _________.
40 is 1/100 of _________.
0.04
0.004
4,000
Which of the following would be equivalent to 0.076? Select all that apply.
A. 0.0760
B. 0.760
C. 0.7600
D. 0.0076
A
Meghan and her horse completed a barrel racing competition in 14.789 seconds. What is this number rounded to the nearest hundredth?
14.79
Write 10 x 10 x 10 x 10 x 10 with an exponent. Explain how you decided what exponent to write.
105: Since 10 is multiplied 5 times the exponent is 5.
Sarah is thinking of a 5 digit number in which all the digits are the same. The value of the digit in the thousands place is 4,000. What is the number? What is the relationship between the values of the digits?
44,444; Each digit has a value 10 times the value of the digit to its right and 1/10 the value of the digit to its left.
Which statements about the values of 3.155 and 31.55 are true? Select all that apply.
A. 3.155 is 1/10 of 31.55.
B. 3.155 is 1/100 of 31.55
C. 31.55 is 100 times 3.155
D. 31.55 is 10 times 3.155
E. 3.155 is 10 times 31.55
A and D
Sam weighed 4.16 pounds of apples at the store. Which number make the statement true?
_____ > 4.16
A. 4.15
B. 4.19
C. 4.2
D. 4.09
E. 4.1
B and C
Name two different number that round to 8.21 when rounded to the nearest hundredth.
Sample answers: 8.213, 8.209