Multiplying/Dividing by Powers of 10
53 x 1,000
53,000
Identify the number in the thousandths place: 4.3701
0
Write the following in standard (number) form: three hundred and seventy five thousandths
300.075
Compare the following using <, >, or =.
30 _____ 9
30 > 9
What is 49.83 rounded to the nearest whole?
50
732,000 ÷ 105
7.32
The digit 4 in 54 is how many times bigger than the digit 4 in 37.4?
10 times
Write the following in standard (number) form:
(5 x 10) + (8 x 1) + (9 x 0.01)
58.09
Compare the following using <, >, or =.
3.72 _____ 3.719
3.72 > 3.719
What is 235.8 rounded to the nearest ten?
240
When a number is multiplied by 103, how does the place value of each digit shift, and why?
The place value of each digit shifts three places to the left. When a number is multiplied by ten, the place value of each digit shifts once to the left as a digit in one place value is ten times as great as that digit in the place value to the right. When multiplying by 103, which is equivalent to multiplying by 10 three times, each digit shifts to the left three times.
The digit 7 in 1.7 is 1/100 the value of the digit 7 in which of the following?
A) 7.92
B) 74
C) 701.6
D)0.0712
B) 74
Write the following in word form: 7,092.301
Compare the following using <, >, or =.
4.56 _______ 4.560
4.56 = 4.560
What is 23.6 rounded to the nearest hundred?
0
470 x 0.001
0.47
The digit 5 in 5,023.7 is how many times bigger than the digit 5 in 0.952?
100,000 times
Write the following in expanded form: 90.142
(9 x 10) + (1 x 0.1) + (4 x 0.01) + (2 x 0.001)
A) 8.099
B) 8.730
C) 8.8
D) (8 x 1) + (7 x 1/10) + (4 x 1/100)
A) 8.099
What is 4.692 rounded to the nearest tenth?
4.7
When a number is multiplied by 0.01, how does the place value of each digit shift and why?
When a number is multiplied by 0.01, each digit shifts twice to the right. A digit in one place value is 1/10 as big as that digit in the place value to the left. Thus, when multiplying by one tenth, the place value of each digit shifts once to the right. Multiplying by one hundredth is equivalent to multiplying by one tenth twice, so the digits shift twice.
The digit 3 in 0.243 is 1/1,000 the value of the digit 3 in which of the following?
A) 34.9
B) 3.901
C) 0.235
D) 3,806
B) 3.901
Write the following in expanded form: Fifty six thousand nine and nine thousandths
(5 x 10,000) + (6 x 1,000) + (9 x 1) + (9 x 0.001)
Compare the following using <, >, or =.
1,025.76 ______ one thousand twenty five and seventy six thousandths
1,025.76 > one thousand twenty five and seventy six thousandths
What is 89.0145 rounded to the nearest thousandth?
89.015