Multiplying by Powers of 10
489 x 10
4,890
7,200 ÷ 10
720
When we multiply a number by 10, how does the place value of each digit shift, and why?
The place value of each digit shifts once to the left, because a digit in one place value is 10x the value of that digit in the place value to the right, so when a number is multiplied by 10, each digit just shifts up a place value.
Convert the following to decimal and fraction form: 42 hundredths.
0.42; 42/100
Convert the following to exponent form and to a repeated multiplication sentence: 1,000
103; 10 x 10 x 10
0.83 x 102
83
306,000 ÷ 102
3,060
The digit 5 in 37.5 is how many times the value of the digit 5 in 24.957?
10 times
Fill in the blanks:
One tenth is equal to _____ hundredths.
One hundredths is equal to _____ thousandths.
10; 10
Convert the following to standard form and to a repeated multiplication sentence: 106
1,000,000; 10 x 10 x 10 x 10 x 10 x 10
756.9 x 1,000
756,900
425 ÷ 1,000
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
Convert the following to standard (number) form: Eighty two and forty seven thousandths.
82.047
Solve the following: 102 x 103
100,000
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 109
1,000,000
0.405 x 1,000,000
405,000
9,620,000 ÷ 1,000,000
9.62
Write a number in which the value of the digit 3 is 1/1,000 the value of the digit 3 in 32.7.
Any number with 3 in the hundredths place.
Fill in the blanks:
40 hundredths is equal to _____ tenths.
30 thousandths is equal to ______ hundredths.
200 thousandths is equal to ______ tenths.
7,000 thousandths is equal to _____ wholes.
4; 3; 2; 7
Solve the following: 63
216