Multiplying a Decimal by a power of 10
What is 0.45 x 10^2?
45
What is the best estimate for 33 x 0.38?
0.40 x 30 = 12
Find the product: $0.6 x 4.
2.4
A bottle of eye drops has 0.45 fl oz. How much liquid is in 10 bottles?
4.5 fluid ounces
How many places does the decimal shift when multiplying by $10^3?
3 places
What is 0.45 x 10^4?
4,500
Round both numbers to estimate: 4.8 x 2.1.
5 x 2 = 10
Find the product: 0.35 x 6.
2.1
Jamie buys 33 bolts that cost $0.38 each. What is the total cost?
$12.54
When multiplying a decimal by a power of 10, in which direction does the decimal point move?
RIGHT
What is 1.82 x 10^3?
1,820
Estimate the product of 19.6 x 51.2 using compatible numbers.
20 x 50 = 1,000
Find the product: 1.4 x 0.3.
0.42
A notebook costs $2.45. How much will $12 notebooks cost?
$29.40
How does the decimal point move when 0.45 is multiplied by 10^4?
It moves 4 places to the RIGHT
What is 0.0079 x 10^5?
790
Is 0.8 x 40 an overestimate or underestimate for 0.76 x 42?
Overestimate (since both factors were rounded up)
Find the product: 3.25 x 1.8
5.85
A car travels $42.5 miles per hour. How far does it travel in 3.5 hours?
148.75 miles
Fill in the exponent: 0.062 x 10^? = 620.
10^4 (moved 4 places)
When evaluating 3.004 x 10^6, how many places do you move the decimal point, and how many zeros must you add?
You move the decimal point 6 places to the right and add 3 zeros, resulting in $3,004,000.
Estimate 18.9 x 0.47 by rounding each factor to the nearest whole or single digit.
19 x 0.5 = 9.5 (or 20 x 0.5 = 10)
Find the product: 0.045 x 2.4.
0.108
A box of cereal weighs 14.6 oz. A pallet contains 10^3 boxes. What is the total weight in ounces?
14,600 oz
Explain how to multiply two decimals, such as 0.3 x 0.4 using a 100 grid.
Shade 3 columns (representing 0.3) in one color, going vertical/horizontal, then shade 4 rows (representing 0.4 in another color. The overlapping region contains 12 small squares, which represent 0.12.