Recognizing Place Value
What is the value of the digit 4 in the number 4.56?
4 ones
If the digit 5 is in the tenths place, what is its value?
5 tenths, 0.5, or 5/10
What does the exponent represent in (10^3)?
Multiply 10 three times (10 x 10 x 10)
3 zeros
How do you write the decimal 0.375 in words?
Three hundred seventy-five thousandths
Which is greater: 0.3 or 0.28?
0.3
In the number 0.78, what is the place value of the digit 7?
Tenths
What is the value of the digit 2 in the number 0.42?
2 hundredths, 0.02, or 2/100.
How do you express 1,000 in terms of powers of 10?
103 (10 to the power of 3)
What is the expanded form of the decimal 4.2?
(4 x 1) + (2 x 0.1)
Round 5.678 to the nearest hundredth.
5.68
How does the place value of the digit change when moving one position to the left?
How much greater is the value of the digit 8 in 8.95 compared to its value in 0.89?
10 times greater
Explain what happens to the decimal point when you multiply 2.5 by (10^2).
The decimal moves two places to the right = 250
Write 0.505 in word form.
Five hundred five thousandths
Use the symbols >, <, or = to compare 0.45 and 0.405.
0.45 > 0.405
What is the place value of the digit 3 in the number 3,201.45?
Thousands
If you move the digit 7 one place to the left in 7.23, what will its new value be?
70 (7 tens)
How does dividing by (10^1) affect the value of 5.6?
Moves the decimal one place to the left = 0.56
Read the decimal 2.678 in words.
Two and six hundred seventy-eight thousandths.
Round 2.845 to the nearest whole number.
3
Explain why the place value system is important for understanding decimals.
Place value increases as we travel to the left, and decreases as we travel to the right.
Describe how the value of a digit changes in the number 0.005 when it is multiplied by 10.
It moves one place value to the left to the hundredths place.
Write the number 0.004 as a power of 10.
4 divided by 105, etc.
Write the number 3.045 in expanded form.
(3 x 1) + (4 x 0.01) + (5 x 0.001)
Which decimal is less: 0.2 or 0.25?
0.2