Forms of Decimal Numbers
Rewrite in standard form:
2 hundred and 2 thousandths
200.002
Rewrite the numbers in standard form on your place value chart, circle the greater number then compare using < or > or =
4 X 103 + 2 X 100 + 3 X 0.1
4 x 1000 + 2 x 102 + 3 X 1/10
4200.3 = 4200.3
Round to the nearest tenth:
2.87
2.9
Write thirty six and forty two hundredths in standard form on your place value chart, and then
X 103
and explain the change in the value of the digits
36,420
The digits shifted 3 places to the left because we multiplied by 103, which is 1000. The value of the digits became 1000 greater.
Convert 1.3 meters to cm (centimeters)
* (1 meter = 100 cm)
Write the equation, using an exponent, and solve.
1.3m X 102 = 130 cm
Rewrite in standard form:
seventeen tenths
1.7
Rewrite the numbers in standard form on your place value chart, circle the greater number, then compare using < or > or =
24 tenths
2.5
2.4 < 2.5
Round to the nearest tenth:
4.96
5
Write this number in standard form on your place value chart:
3 ten-thousands 6 thousands 4 hundreds 2 tens
then divide it by 102
explain the shift in the digits & the change in value
364.2
The digits shifted two places to the right because we divided by 102, which is 100. The value of the digits became 100 times less (1/100) than they were.
Convert 0.67 m to cm (centimeters)
* (1 meter = 100 cm)
Write the equation, with an exponent, and solve.
0.67m X 102 = 67 cm
Rewrite in standard form:
8 X 100 + 4 X 1 + 3 X 1/10 + 5 X 1/1000
804.305
Rewrite each number in standard form on your place value chart, circle the greater number, then compare using either < or > or =
20.31
2 tens 3 tenths 1 thousandth
20.31 > 20.301
Round to the nearest tenth:
6.6
6.6
Rewrite this number in standard form on your place value chart:
three hundred sixty four and two tenths
then multiply by 1000 and explain the shift, change in value and the number of zeroes
364,200
Multiplying by 1000 shifts the digits three places to the left and the value of each digit becomes 1000 times greater than it was. There are two zeroes because there were two places left blank when the digits were shifted (the tens and ones places).
Convert 4.13 m to mm (millimeters)
* (1 meter = 1000 mm)
Write the equation, with the exponent, and solve.
4.13 m X 103 = 4130 mm
Rewrite in word form (how do you SAY this number?):
2.612
two and six hundred twelve thousandths
Put the following numbers in decreasing order:
3.06 3.006 3.6 3.62
Decreasing means from largest to smallest-
3.62 3.6 3.06 3.006
Which of these numbers WOULD become 9.4 when rounded to the nearest tenth? (Check them all because there may be more than one!)
9.333 9.415 9.435 9.388
9.415
9.435
9.388
Rewrite this number in standard form on your place value chart
three hundred sixty four thousand two hundred
then divide it by 104 and explain the shifts and change in value of the digits
36.42
The digits shifted 4 places to the right because we divided by 104 and the exponent 4 means 4 "jumps". The digits became 10,000 times less (1/10000).
Convert 0.725 m to mm (millimeters)
* (1 meter = 1000 mm)
Write the equation, using an exponent, and solve
0.725 m X 103 = 725 mm
Rewrite in expanded form (you can choose either decimals or fractions):
23.085
2 X 10 + 3 X 1 + 8 X 0.01 + 5 X 0.001
OR
2 X 10 + 3 X 1 + 8 X 1/100 + 5 X 1/1000
Put the following numbers in increasing order:
41.42 41.204 41.04 41.4
Increasing order means from smallest to largest -
41.04 41.204 41.4 41.42
Which of these would become 6.8 when rounded to the nearest tenth? (Check them all because there may be more than one!)
6.88 6.76 6.74 6.81
6.76
6.81
Explain the relationship between places on the place value chart that are next to each other.
Each place is 10 times greater than the place to its right. For example, the 10s place is 10 times greater than the 1s place...
Each place is 10 times less than the place to its left. (This is the same as "each place is 1/10 of the place to its left)" For example, the 10s place is 1/10 of the 100s place.
Write the equation, with an exponent and solve. You have to write a complete sentence answer! Don't forget the units!!
The oldest tree in North America grows 2.07cm each year. How much will the tree grow by the year 2121? (How many years is that from this year?) Double pts: convert the answer to meters.
2.07 X 102 = 207cm
By the year 2119 the tree will have grown 207 cm.
*(100 cm = 1m)
207 cm divided by 102 = 2.07m
By the year 2119 the tree will have grown 2.07m