Expanded Form/ Expanded Notation
Write an expression that represents the number 5.285 in expanded form
5 + 0.2 + 0.08 + 0.005
Write the number in word form:
48.832
forty-eight and eight hundred thirty-two thousandths
Round the decimal to the nearest tenth:
12.103
12.1 or 12.100
Complete the comparison statement using >,<, or =.
18.190 ___ 18.20
18.190 < 18.20
In a ski event, Lionel's time is 47.61 seconds and Ronaldo's time is 47.599 seconds.
Which skier's time is faster?
Use place value and a comparison statement to explain your reasoning.
Ronaldo's time in the event is faster. I can determine who is faster by comparing 47.61 and 47.599 seconds. I need to compare the digits in each place, starting with the tens place. Both numbers have the same digits in the tens place. Since 6 is greater than 5, I know that 47.61 > 47.599.
Since the faster time to complete the event is the lesser number, the person who completed the ski event in 47.599 seconds is faster.
Write an expression that represents the number in expanded form: 673.2038
600 + 70 + 3 + 0.2 + 0.003 + 0.0008
Write the number in word form: 28.879
Twenty-eight and eight hundred seventy-nine thousandths
Round the decimal to the nearest tenth:
75.283
75.2
Complete the comparison statement using >,<, or =.
104.78 ___ 10.478
104.78 > 10.478
What is the relationship between the digit 9 in the hundredths place and the digit 9 in the thousandths place in the number 4.299?
The value of the digit in the hundredths place is ___ times the value of the digit in the thousandths place.
Write an expression that represents the number in expanded decimal notation:
7.839
(7 x 1) + (8 x 0.1) + (3 x 0.01) + (9 x 0.001)
Write the number in word form:103.203
One hundred three and two hundred three thousandths
Round the decimal to the nearest hundredth:
2,913.327
2,913.33
Complete the comparison statement using >,<, or =.
14.1 ___ 14.100
14.1 = 14.100
Write 4 numbers that could be rounded to the nearest tenth and result in this number:
34.5
34.501
34.481
34.47009
34.5111111111111111111
Write an expression that represents this number in expanded decimal notation: 87.9467
(8×10)+(7×1)+(9×0.1)+(4×0.01)+(6×0.001)+(7×0.0001)
Write the number in standard form:
Three thousand, two hundred seventy-five and four hundred six thousandths
3,275.406
Round the decimal to the nearest hundredth and the nearest tenth and draw a number line to represent it:
28,293.14932
Nearest tenth: 28,293.2
nearest hundredth: 28,293.15
Complete the comparison statements using >,<, or =.
1.2024 ___ 1.20024
1.001 ____ 1.010
1.2024 > 1.20024
1.001 < 1.010
Describe the relationship between the digit 4 in the tenths place and the digit 4 in the hundredths place in the number 6.441
The value of the digit 4 in the hundredths place is 1/10 times the value of the digit 4 in the tenths place.
Write an expression that represents this number in expanded fraction notation: 17.3801
(1×10)+(7×1)+(3/10)+(8/100)+(1/10,000)
Write the number in standard form:
four hundred fifty-six thousand, three hundred twenty-one and ninety-eight thousand four hundred seventy-five hundred-thousandths
456,321.98475
Round the decimal to the nearest thousandth and draw a number line to represent it:
28,293.14937
28,293.149
Karla says 4.42 is greater than 4.402. Is Karla correct? Explain your reasoning.
I can compare 4.42 and 4.402 by comparing the digits in each place, starting with the ones place. The digits in the ones place are the same. The digits in the tenths place are the same. So, I need to compare the digits in the hundredths place. Since 2 is greater than zero, 4.42 is greater than 4.402
Ari ran the 60- meter dash faster than Pablo's time of 8.33 seconds. When Ari rounds her time to the nearest tenth, it becomes the same as Pablo's time when it is rounded to the nearest tenth.
What are two possible times for Ari's 60-meter dash?
A: 8.34, B: 8.32
A possible time for Ari's 60-meter dash is 8.34 seconds. When I round Pablo's time to the nearest tenth it is 8.3, when I round 8.34 or 8.32 to the nearest tenth, it is also 8.3.