Numbers in Different Forms
Write 0.24 in word and unit form.
Word: twenty four hundredths
Unit: 2 tenths 4 hundredths
Compare using these symbols <,>, and =.
3.4 _____3.34
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List the six steps of rounding.
1. Decompose the numbers.
2. Choose the decomposed number that will help you most.
3. Put your numbers on a vertical number line
4. Find the midpoint.
5. Place your number on the vertical number line.
6. Round
What is the number that tells you how many times you use ten as a factor?
Exponent
Write 1.57 in word, unit and expanded form.
Unit: 1 ones, 5 tenths, 7 hundredths
Expanded: (1 x 1)+(5 x 0.1)+(7 x 0.01)
Compare using these symbols <,>, and =.
3 tenths, 5 thousandths, 6 hundredths ______ 0.356
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Round this number to the nearest ones using the vertical number line.
7.32
7 ones
7
How many place vaues do we need to move when we multiply or divide by 1,000? Why?
We will need to move 3 place values, because there are 3 tens and 3 zeros in 1,000.
Decompose 9.243 two different ways.
Any two of these answers will work:
92 tenths 4 hundredths 3 thousandths
924 hundredths 3 thousandths
9,243 thousandths
Compare using these symbols <,>, and =.
783 hundredths ______ 7.83
=
What is the value of each of the 5 in the number? Explain how the values of 5 are different.
4.55
The first 5 is 5 tenths, 0.5, and the second 5 is 5 hundredths, 0.05. The values of the two numbers are different because they are in different place values. The 5 in the tenths place is ten times larger than the 5 in the hundredths place.
Round this number to the nearest tenths using the vertical number line.
8.36
84 tenths
8.4
73.982 x 102
73,98.2
Write this number in standard form:
3 thousandths, 2 tens, 4 hundreds, 7 tenths, 8 hundredths
420.783
Put these numbers in descending order:
72.33, 72.530, 72.324, 72. 503
72.530, 72. 503, 72.33, 72.324
Explain why each of the digits of 7 has a different value.
7.77
Each of the 7s is in a different place value, so the values of the 7s are different. The 7 in the ones place is 10 times larger than the 7 in the tenths place. The 7 in the tenths place is 10 times larger than the 7 in the hundredths place.
Round this number to the nearest hundredths and tens.
8.793
tens: 1 tens, 10
hundredths: 879 hundredths 8.79
Convert this to centimeters and millimeters.
7.24 m
cm: 724cm
mm: 7,240 mm
The numbers are in increasing order. Choose a number that will fit into the sequence:
4.204, 4.223, 4.3, ________, 4.382
Answers will vary
Round this number to the nearest tens, tenths, and hundredths.
9.989
tens: 1 tens, 10
tenths: 100 tenths, 10
hundredths: 999 hundredths, 9.99
37,242 ÷ 103
37.242