Exponents
a number that tells how many times a base number is used as a factor
ex: the "4" in 3 x 104
exponent
write this number in standard form: (4 x 104) + (6 x 102)
40000 + 600 = 40,600
write 17/1000 as a decimal
0.017
It rained 35.765 inches on the eastern portion of the Bahamas and 35.674 on the western portion in hurricane Dorian. Which side received more rainfall?
the Easter side, 35.765 > 35.674
Round 2.567 to the tenths place
2.6
How would you write 6,000 using exponents?
6 x 103
write 102,200 in expanded form
100,000 + 2,000 + 200 OR
105 + (2x103) + (2x102)
The winning time in the 100 m dash was 9.89 s. write this number in word form
nine and eighty-nine hundredths
in the textbook, turn to page 24 and answer question 16
15.500 > 15.050, Ana's vault score is greater than Marcia's vault score
round 63.012 to the nearest whole number
63
write with exponents: 10 x 10 x 10 x 10 x 10
105
page 12 in textbook, #14
forty-four million
4 x 10,000,000 + 4 x 1,000,000
OR (4 x 107) + (4 x 106)
How do the 4s compare in value for this number? 0.447
The 4 in the hundredths place is 1/10 the value of the 4 in the tenths place
page 24, # 13 in textbook
0.75 = 0.750
1.50 = 1.500
1.05 = 1.050
0.075=0.075
(equivalent decimals)
When I filled up my car with gas, the price per gallon was 2.899. Round this value to the nearest penny
$2.90
1 AU = 150,000,000 km. Write this number using exponents
15 x 107 or 1.5 x 108 (scientific notation)
Paul says that in the number 6,367, one 6 is 10 times as great as the other 6. Is he correct? Explain why or why not.
no, he is incorrect. the sixes are in the thousands and tens places, 100 times apart from one another. One space to the left = 10 time the value
Santiago has a rope that measures 205.95 cm. write this number in expanded form
2 x 100 + 5 + (9 x 1/10) + (5 x 1/100)
textbook page 24, #18
4.19 > 4.16
4.2 > 4.16
If I wanted to round 23,456.87 to the nearest thousand, describe how I would do this.
I would look to the place to the right of the thousands, the number in the hundreds place is 4. Since it is less than 5, you keep the value the same, so the value rounded is 23,000.
one box of printer paper has 3 x 102 sheets of paper. Another box has 103 sheets of paper. What is the total number of sheets in both boxes?
300 + 1000 = 1300
According to the 2010 census, the population of Phoenix, Arizona is about 1,440,000. Write the number name for this value (word form)
one million, four hundred forty thousand
Write in standard form:
(2 x 103)+ (3 x 102) + 1 + (6 x 1/10) + (7 x 1/100) + (8 x 1/1000)
2301.678
Maria recorded plant heights of 12.87, 12.13, 12.5 and 12.08. Write them in order from shortest to tallest
12.08, 12.13, 12.5, 12.87
Find 2 numbers that could round to 36.4 when rounded to the nearest tenth
36.38 or 36.44