Multiplying by Powers of 10
489 x 101
4,890
7,200 ÷ 101
720
When we multiply a number by 10, how many place values does each digit shift? What direction does the digit move?
Each digit shifts 1 place value
Left
Write the following in decimal and fraction form: 42 hundredths.
0.42; 42/100
Write 10,000 as an exponent
104
0.83 x 102
83
306,000 ÷ 102
3,060
Put 37.5 and 24.957 on a place value chart!
The digit 5 in 37.5 is how many times the value of the digit 5 in 24.957?
The 5 in 37.5 is 10 times larger than the 5 in 24.957
Fill in the blanks:
One tenth is equal to _____ hundredths.
One hundredths is equal to _____ thousandths.
10; 10
Write the following in standard form:
106
1,000,000
756.9 x 1,000
756,900
425 ÷ 103
0.425
The digit 7 in 72 is 100 times the value of the digit 7 in which number?
a. 0.379
b. 42.7
c. 78.3
d. 0.257
b. 42.7
Write the following in Standard Form (number form): Eighty two and forty seven thousandths.
82.047
Solve the following on a place value chart and solve:
0.027 x 103
27
901.4 x 104
9,014,000
695,200 ÷ 105
6.952
Write a number in which the value of the digit 2 is 1,000 times the value of the digit 2 in 1.29.
Any number with 2 in the hundreds place.
Fill in the blanks:
One whole is equal to ______ thousandths.
One tenth is equal to ______ thousandths.
One whole is equal to ______ hundredths.
1,000; 100; 100
Solve the following: 0.001 x 105
100
0.405 x 106
405,000
9,620,000 ÷ 106
9.62
Write a number in which the value of the digit 3 is 1/10 the value of the digit 3 in 23.86
Any number with 3 in the tenths place.
Fill in the blanks:
40 hundredths is equal to _____ tenths.
30 thousandths is equal to ______ hundredths.
200 thousandths is equal to ______ tenths.
4; 3; 2
Solve the following:
216,000 / 104
21.6