Decimal Place Value
Name the place value of the 6 in the number 8.026
thousandths
102 = _____ x _______
10 x 10
Write one and sixteen thousandths as a decimal.
1.016
Write and inequality to compare 1.2 and 1.25
1.2 < 1.25
Ethan says that the value of 40.7 is 10 times the value of 4.07. Is he correct? Explain your reasoning.
Yes, Ethan is correct because each digit in 40.7 is one place to the left of where it is. in 4.07. When a digit moves one place to the left, the value is 10 times more than what it was.
What is the value of the 5 in the number 0.45
five hundredths
10 x 10 x 10 x 10 x 10 = ___________
105 or 100,000
two and forty five hundredths
Write and inequality to compare 6.129 and 6.19
6.129 < 6.19
A student says that the product of 50 x 104 has exactly 4 zeros. Is the student correct?
No, the student is not correct because 104 is the same as 50 x 10 x 10 x 10 x 10 or 50 x 10,000. There would be 4 zeros after the 50.
Complete the equation. 0.03 x 10 = ______
0.3
0.8 x 102 =
80
Write 5.075 in expanded form.
5+ 7/100 + 5/1000 OR
5 + (7 x 1/100) + (5 x 1/1000)
Round the decimal to the nearest tenth. 12.745
12.7
Explain how reading the digits to the right of the decimal point and knowing the name of the least place value help you read a decimal number. Use the examples 0.604 and 1.604 in your explanation.
The least place is thousandths. The digits after the decimal point tell you how many of those smallest units there are. In 0.604, there are 604 thousandths but in 1.604 there are 604 thousandths and 1 whole.
Complete the number sentence.
0.1 divided by 10 = ______
0.01
0.007 x 103 =
7
Write eight and eight thousandths in standard form.
8.008
Round the decimal to the nearest hundredth. 0.709
0.71
Daisy has a piece of rope 2.085 meters long and another pieve 2.63 meters long. Which piece can she cut to make a piece that is 2.5 meters long. Explain your reasoning.
Daisy can cut that piece that is 2.63 meters long because 2.63 is greater than 2.5 and 2.085 is less than 2.5. She will only have enough rope if she cuts the piece that is 2.63 meters long.
Draw a place value chart that shows hundreds to thousandths.
hundreds, tens, ones, tenths, hundredths, thousandths.
Finish the pattern.
8,000, _____, _____, 8, ____, _____, 0.008
8,000, 800, 80, 8, 0.8, 0.08, 0.008
9/10 + 4/100 OR
(9 x 1/10) + ( 4 x 1/100)
Put the following decimals in order. Explain your strategy.
0.35, 0.001, 0.854, 1.47, 1.04
0.001, 0.35, 0.854, 1.04, 1.47
Aubra and Tony are rounding the number 1.65 to the nearest tenth. On a number line, they see 1.65 is exactly halfway between 1.6 and 1.7. Aubra thinks that the number should be rounded up to 1.7 while Tony thinks that you can round to either value because the decimal is exactly halfway between 1.6 and 1.7. Who is right? explain.
Aubra is right because when a number is exactly halfway between two numbers you always round it up. Therefore, 1.65 would round up to 1.7 not 1.6.