Powers of Ten
What are the three things that match when dealing with Powers of Ten.
zeros, factors, exponent
When you move to the left the value of numbers get ____________________.
When you move to the left ONE PLACE VALUE you multiply by _______
larger/greater/increased
x10
What are the 3 forms a number can be written in and what are the definitions?
Standard - digits
Word - words
Expanded - uses addition
Problem 5.1: Maya shaded 40 squares ( 40/100 )on a hundredths grid, and Leo shaded 50 squares ( 50/100 ). Which value is greater than Maya's decimal and less than Leo's decimal?
A. 40/100 + 1/100
B. 30/100 + 5/100
C. 50/100 + 2/100
D. 60/100
A
Solve this equation
4 x 103 = _______
4,000
When you move to the right the value of numbers get ____________________.
When you move to the right ONE PLACE VALUE you multiply by _______
reduced/smaller/decrease
x 1/10
Write "eighty-two thousand, nine hundred six and nine tenths" in standard form.
82,906.9
Which comparisons are true? Select all that apply.
A. 5.62 > 5.602
B. 3.109 > 3.19
C. 8.04 < 8.041
D. 2.75 < 2.705
E. 6.331 < 6.34
A, C, E
a. Round 14.836 to the nearest hundredth.
b. Explain the rounding process based on place value digits.
14.84
Since there is a 6 in the thousandths place, the hundredths place increases to 4.
Which expressions are equal to 6 x 104 ? Select all that apply.
A. 6 x 1,000
B. 6 x 10,000
C. 6 x 10 x 10 x 10 x 10
D. 6 x 10 x 10 x 10
B and C
Which numbers have a digit in the tenths place that is
1/10
the value of the digit in the ones place? Select all that apply.
A. 8.82
B. 3.39
C. 5.11
D. 7.77
E. 4.04
A, B, and D
What is 12.92 written in word form?
twelve and ninety two hundredths
Tatum finished a race in 12.405 seconds. Adriana finished in 12.45 seconds. Who ran faster, and why?
Tatum ran faster.
There is a 0 in the hundredths place in Tatum's time and a 5 in the hundredths place in Adriana's time.
a. Round 5.274 to the nearest tenth.
b. Explain the rounding process based on place value digits.
5.3
Since there is a 7 in the hundredths place the 2 in the tenths place increases by 1
Which expressions are equal to 4 x 103? Select all that apply.
A. 4 x 1,000
B. 4 x 100
C. 4 x 10 x 10 x 10
D. 4 x 10 x 10 x 10 x 10
A and C
Problem 3.2: Mark has 5,000 marbles. Sam has
1/10
as many marbles as Mark. How many marbles does Sam have?
500
What is 6.804 written in expanded form?
(6 x 1) + (8 x 1/10) + (4 x 1/1,000)
Compare the following numbers using <, >, or =
a. 14.308 ____14.38
b. 0.99 ____ 0.990
c. 7.051 ____ 7.015
<
=
>
a. Round $89.23 to the nearest dollar.
b. Explain the rounding process based on place value digits.
$89
Since there is a 2 in the tenths place the 9 in the ones place stays the same.
Which expressions are equal to 9 x 106? Select all that apply.
A. 9 x 100,000
B. 9 x 1,000,000
C. 9 x 10 x 10 x 10 x 10 x 10 x 10
D. 9 x 10 x 10 x 10 x 10 x 10
B and C
Create a number where the following is happening:
1. All the digits are the same
2. The number is 4 digits long
3. The value of the number in the tens place is 20.
22.22
222.2
2,222
Write the decimal equivalent for
(3 x 10) + (7 x 1) + (4 x 1/10) + (9 x 1/1000)
37.409
a. Round 89.996 to the nearest hundredth.
b. Explain the rounding process based on place value digits.
90
Since there is a 6 in the thousandths place the hundredths place increases by 1. However, since that makes the place value have two digits you must carry until the place value has 1 digit.