Question

powers of 10
directions: solve each of the following.
$35 \times 100 = $ ________
$72\div 100 = $ ________
$12\div 1000 = $ ________
$25 \times 10^3 = $ ________
$32 \times 10^2 = $ ________
$4 \times 10^4 = $ ________
$871 \times 10 = $ ________
$67 \times 10,000 = $ ________
$94\div 100 = $ ________
$25\div 1000 = $ ________
$23 \times 10^3 = $ ________
$71 \times 100 = $ ________
$8 \times 10^4 = $ ________
$23\div 1000 = $ ________
$65 \times 10,000 = $ ________
$18 \times 10^2 = $ ________
$14\div 1000 = $ ________
$426 \times 100 = $ ________

Explanation:

Step1: Multiply by 100 (shift right 2)

$35 \times 100 = 3500$

Step2: Divide by 100 (shift left 2)

$72 \div 100 = 0.72$

Step3: Divide by 1000 (shift left 3)

$12 \div 1000 = 0.012$

Step4: Multiply by $10^3$ (shift right 3)

$25 \times 10^3 = 25000$

Step5: Multiply by $10^2$ (shift right 2)

$32 \times 10^2 = 3200$

Step6: Multiply by $10^4$ (shift right 4)

$4 \times 10^4 = 40000$

Step7: Multiply by 10 (shift right 1)

$871 \times 10 = 8710$

Step8: Multiply by 10000 (shift right 4)

$67 \times 10000 = 670000$

Step9: Divide by 100 (shift left 2)

$94 \div 100 = 0.94$

Step10: Divide by 1000 (shift left 3)

$25 \div 1000 = 0.025$

Step11: Multiply by $10^3$ (shift right 3)

$23 \times 10^3 = 23000$

Step12: Multiply by 100 (shift right 2)

$71 \times 100 = 7100$

Step13: Multiply by $10^4$ (shift right 4)

$8 \times 10^4 = 80000$

Step14: Divide by 1000 (shift left 3)

$23 \div 1000 = 0.023$

Step15: Multiply by 10000 (shift right 4)

$65 \times 10000 = 650000$

Step16: Multiply by $10^2$ (shift right 2)

$18 \times 10^2 = 1800$

Step17: Divide by 1000 (shift left 3)

$14 \div 1000 = 0.014$

Step18: Multiply by 100 (shift right 2)

$426 \times 100 = 42600$

Answer:

$35 \times 100 = 3500$
$72 \div 100 = 0.72$
$12 \div 1000 = 0.012$
$25 \times 10^3 = 25000$
$32 \times 10^2 = 3200$
$4 \times 10^4 = 40000$
$871 \times 10 = 8710$
$67 \times 10000 = 670000$
$94 \div 100 = 0.94$
$25 \div 1000 = 0.025$
$23 \times 10^3 = 23000$
$71 \times 100 = 7100$
$8 \times 10^4 = 80000$
$23 \div 1000 = 0.023$
$65 \times 10000 = 650000$
$18 \times 10^2 = 1800$
$14 \div 1000 = 0.014$
$426 \times 100 = 42600$