Value of a Digit
107.666
The value of the 6 in the hundredths place is 10 times the value of the 6 in the ________ place.
a. ones
b. tenths
c. thousandths
C
What is the expanded form of 103.702?
a. 100 + 3 + 7/10 + 2/1,000
b. 100 + 3 + 7/10 + 2/100
c. 10 + 3 + 7/100 + 2/1,000
d. 10 + 3 + 7/10 + 2/1,000
a. twenty-five and four thousandths
b. two hundred five and four tenths
c. two hundred five and four hundredths
d. two hundred five and four thousandths
d
Is the comparison true or false?
0.91 = 0.910
true
0.752 rounded to the nearest tenth is _____
0.8 or 0.800
Which statement about the digits in 144,672 is true?
a. The value of the digit 4 in the thousands place is 10 times the value of the digit 4 in the ten thousands place.
b. The value of the digit 4 in the thousands place is 1/10 the value of the digit 4 in the ten thousands place.
c. The value of the digit 4 in the ten thousands place is 100 times the value of the digit 4 in the thousands place.
d. The value of the digit 4 in the ten thousands place has the same value as the digit 4 in the thousands place.
b
Write 3.48 in expanded form.
3 + 0.4 + 0.08 or
3 + 4/10 + 8/100
In standard form, the number thirty-six and eight hundred fourteen thousandths is written as ___.
36.814
Is the comparison true or false?
0.77 < 0.777
true
0.752 rounded to the nearest hundredth is ____
0.75 or 0.750
Which of the following statements is true?
a. 0.002 is 10 times 0.02
b. 0.02 is 1/10 of 0.002
c. 0.02 is 10 times 0.002
d. 2 is 1/10 of 0.2
c
Write the expanded form of the number 8.207.
8 + 0.2 + 0.007 or
8 + 2/10 + 7/1,000
How can you write the number in standard form?
six and fifty-one thousandths
6.051
Marble A traveled 9.36 meters and Marble B traveled 9.08 meters down a ramp. Which marble traveled farther?
Marble A
Rounded to the nearest 10 dollars, Barb spent about $50.00 at the store. Which could be the exact amount of her purchases? Choose all that apply.
a. $43.95
b. $48.25
c. $52.88
d. $55.45
e. $58.25
b, c
Look at the digit 2 in the numbers.
806,270 and 12,924
Which statement is true? Choose all that apply.
a. 20 is 1/10 of 200
b. 2,000 is 10 times 200
c. 200 is 1/10 of 2,000
d. 200 is 1/10 of 20
e. 200 is 10 times 2,000
a, b, c
Write the decimal number in standard form.
3/100 + 9/1,000
0.039
Write 44.259 in word form.
forty-four and two hundred fifty-nine thousandths
Valley High School's track is 398.25 meters long and Eastside High School's track is 398.09 meters long. Write a comparison statement of these two track lengths.
398.25 > 398.09
Do the numbers round to 7.3 when rounded to the nearest tenth? Choose yes or no for each number.
a. 7.26
b. 7.38
c. 7.227
d. 7.308
e. 7.251
a. yes
b. no
c. no
d. yes
e. yes
A centimeter is 0.01 meter. A millimeter is 0.001 meter. How does the length of 1 millimeter compare to the length of 1 centimeter? Explain your answer.
1 millimeter is 1/10 the length of 1 centimeter. The digit 1 in 0.001 is 1/10 the value of the digit 1 in 0.01. So, 1 millimeter is 1/10 the length of 1 centimeter.
What is the decimal form of each fraction? Not all decimals will be used.
5/10 0.005
55/100 0.55
5/100 0.555
55/1,000 0.5
0.05
0.055
5/10 = 0.5
55/100 = 0.55
5/100 = 0.05
55/1,000 = 0.055
Kole wrote the decimal 34.821 in word form as thirty-four eight hundred twenty-one thousandths. Is he correct? Explain why or why not.
No. He did not write and. It should say thirty-four and eight hundred twenty-one thousandths.
Which comparisons are true?
a. 0.49 < 0.5
b. 0.304 > 0.333
c. 0.019 < 0.09
d. 0.08 > 0.81
e. 0.111 < 0.11
f. 0.68 = 0.068
a, c
Bill rounded the decimal 12.448 to the nearest tenth as 12.5. He reasoned that the digit 8 in the thousandths place rounded the number to 12.45, and so the digit 5 in the hundredths place rounds the number to 12.5 to the nearest tenth. Is Bill correct? Explain.
No. To round to the nearest tenth, look only at the digit in the hundredths place. Since the digit is 4, 12.448 rounds to 12.4