Understanding Place Value
____________is the position of a digit in a number that is used to determine the value of a digit.
Place value
True or false: When two digits next to each other in a number are the same digit, the digit on the left has 10 times the value of the digit to its right.
True
Write this number as a fraction:
0.009
9/1000
___________ decimals name the same amount.
Equivalent
Is 7.539 less than, greater than, or equal to 7.344?
Greater than
7 x 101
70
Write 12,430,000 in expanded form.
1 x 10,000,000 + 2 x 1,000,000 + 4 x 100,000 + 3 x 10,000
Write this number as a decimal:
3/10
0.3
Write two decimals that are equivalent to the given decimal:
5.300
5.3
5.30
Order the following numbers from greater to least:
62.905, 62.833, 62.950, 62.383
62.950, 62.905, 62.833, 62.383
8 x 104
80,000
Write 337,060 in expanded form using exponents.
(3 x 105) + (3 x 104) + (7 x 103) + (6 x 101)
no; 0.029 is 29 thousandths, which is equivalent to the fraction 29/1000.
Write the following number in standard form:
(8 x 1) + (5 x 1/100) + (9 x 1/1000)
8.059
Carlos wrote three numbers between 0.33 and 0.34. What numbers could Carlos have written?
0.331, 0.332, 0.333, 0.334, 0.335, 0.336, 0.337, 0.338, 0.339
Write 10 x 10 x 10 x 10 x 10 x 10 with an exponent.
106
Write the number name for 43,584,762
Forty three million, five-hundred eighty-four thousand, seven hundred sixty two.
0.002 is 1/10 of _________.
0.02
Write the following number in expanded form:
5.476
(5 x 1) + (4 x 1/10) + (7 x 1/100) + (6 x 1/1000)
Scientist measured a Madeira cockroach and found it to be 3.44 centimeters long. An Oriental cockroach is 3.432 centimeters long. Toby says that Madeira is shorter than Oriental because 3.44 has fewer digits that 3.432. Is he correct? Explain.
No, Toby is not correct. 3.44 has 440 thousandths, but 3.432 has only 432 thousandths.
Isaac takes 5 minutes to ride his bike down the hill to school and 10 minutes to ride up the hill from school. He attends school Monday through Friday. How many minutes does he spend biking to and from school in two weeks? Write an equation to model your work.
150 minutes
Dan wrote (2 x 106) + (3 x 104) + (5 x 103) + 4 for the expanded form of 2 million, three hundred fifty thousand, four. What error did he make in the expanded form? What is the standard form of the number?
Dan should have multiplied 3 by 105 and 5 by 104. The standard form is 2,350,004.
Look at the middle 9 in the following number. How is its value related to the value of the 9 to its left? to the value of the 9 to its right?
0.999
The value of the 9 in the middle is 1/10 the value of the 9 to its left and 10 times as great as the value of the 9 to its right.
Find two decimals that are equivalent to (8 x 100) + (3 x 1/10) + (6 x 1/100).
800.360
800.3600
The heights of four boys measured 152.0cm, 150.75cm, 149.5cm and 149.25cm. Bradley is the tallest. Calvin is taller than Josh, but shorter than Mark. Josh is the shortest. What is Mark's height?
150.75cm