Patterns with Exponents and Powers of 10
What is 103?
1,000
In the number 6,482, what digit is in the hundreds place?
4
Write the decimal three hundred twelve thousandths.
0.312
Which is greater: 0.4 or 0.39?
0.4
In 0.406, what place value is the 6 in?
Thousandths
Multiply 42 by 102. What is the result?
4,200
Write 3,705 in expanded form using place values.
3,000+700+5
Write the decimal four hundred five thousandths.
0.405
Compare using >, <, or =
0.275 ___ 0.27
0.275>0.27
Write 7.081 in words.
Seven and eighty-one thousandths
Write 5×104 in standard form.
50,000
A digit is in the ten-thousands place of a number and is 8. What value does that digit represent?
80,000
In the number 5.428, what digit is in the thousandths place and what value does that digit represent
The digit in the thousandths place is 8; it represents 8×1/1000=8/1000=0.008.
Place these decimals in order from greatest to least: 0.502, 0.52, 0.499
0.52, 0.502, 0.499
Rewrite 0.009 as an equivalent fraction with denominator 1000
9/1,000
A number is multiplied by 103 and becomes 7,890,000. What was the original whole-number number? Show your steps.
7,890
In the number 49,362 which digit is in the thousands place and what value does that digit represent?
The digit in the thousands place is 9; it represents 9,000.
Convert 4.786 to a number in expanded decimal form using thousandths.
4+0.7+0.08+0.006
Explain how to compare 3.047 and 3.074
Compare digits left to right: ones (3=3), tenths (0=0), hundredths (4 vs 7 → 3.074 is larger)
In 0.52, which digit is in the tenths place and what value does it represent?
The digit in the tenths place is 5
it represents 5×1/10=0.5
Explain how the decimal point moves when you multiply a whole number by 102. Example: 13 × 102
The decimal point moves two places to the right; 13 × 100=1300100=1300.
Create a 5-digit number where the digit 6 is in the thousands place, the digit 0 is in the hundreds place, the digit 3 is in the tens place, and the digit 9 is in the ones place. Then write the value represented by each nonzero digit.
6,039
Values: 6 = 6,0006,000; 3 = 3030; 9 = 99.
Convert this expanded form to a decimal (to the thousandths place): (3x10) + (5 x 1/10) + (2 x 1/100) + (9 x 1/1000)
30.529
Use >, <, or = to compare: 0.450 ___ 0.45.
Explain your reasoning.
0.450=0.45
Reasoning: Adding or removing zeros to the right of the last nonzero digit does not change the value of a decimal.
In 0.307, which digit is in the thousandths place and what value does it represent?
The digit in the thousandths place is 7
it represents 7×1/1000=0.007