Try the Free Math Solver or Scroll down to Tutorials!

 Depdendent Variable

 Number of equations to solve: 23456789
 Equ. #1:
 Equ. #2:

 Equ. #3:

 Equ. #4:

 Equ. #5:

 Equ. #6:

 Equ. #7:

 Equ. #8:

 Equ. #9:

 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

 Ineq. #8:

 Ineq. #9:

 Solve for:

 Please use this form if you would like to have this math solver on your website, free of charge. Name: Email: Your Website: Msg:

# MULTIPLYING NUMBERS BY 10, 100, 1000 - 1

Rule 1: To multiply a number by 10, 100, or 1000, move the decimal point in that number to the right as many places as there are zeros in the multiplier, attaching zeros if needed to make the required places.

When we multiply a number by a power of ten, we move the decimal point to the ______________

(right/left) as many places as there are _______________ in the power of ten.

Apply this rule to the following problems without actually doing the multiplication.

 1) 7.74 × 10,000 = ____________ 13) 5.1 × 100,000 = ____________ 2) 25.9 × 100 = ____________ 14) 5.61 × 1,000 = ____________ 3) 8.7 × 10 = ____________ 15) 1.2 × 1,000,000 = ____________ 4) 82 × 100 = ____________ 16) 8.64 × 1,000 = ____________ 5) 19.3 × 100,000 = ____________ 17) 8.1 × 100 = ____________ 6) 28 × 10 = ____________ 18) 4 × 1,000 = ____________ 7) 1.112 × 10,000 = ____________ 19) 3.18 × 1,000 = ____________ 8) 7.1 × 1,000,000 = ____________ 20) 1.25 × 100 = ____________ 9) 39.5 × 100,000 = ____________ 21) 0.771 × 10 = ____________ 10) 59.8 × 10 = ____________ 22) 0.34 × 1000 = ____________ 11) 1.1 × 10,000 = ____________ 23) 1.01 × 10 = ____________ 12) 9.56 × 1,000 = ____________ 24) 0.99 × 10 = ____________

25) When we move a decimal point four places to the right, we _______________________
(multiply/divide) a number by _________________________.

26) Instead of using long multiplication, you can multiply a number by 100 by moving the
decimal point _______________ (how many) places to the _______________ (right/left).

27) When we move the decimal point two places to the right, we _______________
(multiply/divide) a number by _______________.

28) Instead of using long multiplication, you can multiply a number by 10,000 by moving the
decimal point _______________ (how many) places to the _______________ (right/left).

RULE: RIGHT / ZEROS

 1) 77,400 5) 1,930,000 9) 3,950,000 13) 510,000 17) 810 21) 7.71 25) MULTIPLY/10,000 2) 2,590 6) 280 10) 598 14) 5,610 18) 4,000 22) 340 26) TWO/RIGHT 3) 87 7) 11,120 11) 11,000 15) 1,200,000 19) 3,180 23) 10.1 27) MULTIPLY/100 4) 8,200 8) 7,100,000 12) 9,560 16) 8,640 20) 125 24) 9.9 28) FOUR/RIGHT

Rule 2: To divide a number by 10, 100, or 1000, move the decimal point in that number to the left as many places as there are zeros in the divisor, attaching zeros if needed to make the required places.

When we divide a number by a power of ten we move the decimal point to the _______________

(right/left) as many places as there are _______________ in the power of ten.

Apply this rule to the following problems without actually doing the division.

 1) 2700 ÷ 10,000 = ____________ 13) 783.5 ÷ 10,000 = ____________ 2) 5164 ÷ 10 = ____________ 14) 98 ÷ 1,000,000 = ____________ 3) 0.31 ÷ 100,000 = ____________ 15) 2000 ÷ 1000 = ____________ 4) 20.8 ÷ 100 = ____________ 16) 12,583 ÷ 1000 = ____________ 5) 28.6 ÷ 100 = ____________ 17) 9.4 ÷ 100 = ____________ 6) 0.34 ÷ 10,000 = ____________ 18) 23.06 ÷ 10,000 = ____________ 7) 0.009 ÷ 10,000 = ____________ 19) 36 ÷ 100 = ____________ 8) 4.03 ÷ 10 = ____________ 20) 0.3276 ÷ 100 = ____________ 9) 647 ÷ 100 = ____________ 21) 12.34 ÷ 10 = ____________ 10) 53 ÷ 100,000 = ____________ 22) 385 ÷ 10 = ____________ 11) 9354 ÷ 100,000 = ____________ 23) 453.612 ÷ 1000 = ____________ 12) 0.4 ÷ 10 = ____________ 24) 3.18 ÷1000 = ____________

25) When we move a decimal point four places to the left, we _______________
(multiply/divide) a number by ______________.

26) Instead of using long division, you can divide a number by 1000 by moving the decimal point _______________ (how many) places to the _______________ (right/left).

27) When we move the decimal point five places to the left, we _______________
(multiply/divide) a number by _______________.

28) Instead of using long division, you can divide a number by 100 by moving the decimal point _______________ (how many) places to the _______________ (right/left).

RULE: LEFT/ZEROS

 1) 0.27 5) 0.286 9) 6.47 13) 0.07835 17) 0.094 21) 1.234 25) DIVIDE/10,000 2) 516.4 6) 0.000034 10) 0.00053 14) 0.000098 18) 0.002306 22) 38.5 26) THREE/LEFT 3) 0.0000031 7) 0.0000009 11) 0.09354 15) 2 19) 0.36 23) 0.453612 27) DIVIDE/100,000 4) 0.208 8) 0.403 12) 0.04 16) 12.583 20) 0.003276 24) 0.00318 28) TWO/LEFT