Multiplying and Dividing by 0.1, 0.01, and 0.001 and 10, 100, and 1000
13.24 * 0.1
13.24 * 0.01
13.24 * 0.001
1.324
0.1324
0.01324
Estimate.
18.24 divide 4
18.24 can be rounded to 20 and 4 can stay as 4.
Since 20 and 4 are compatible (can be divided easily), our answer is approximately 5.
20 divide 4 = 5
Write the following word phrase as an algebraic expression:
"The product of 3 and a number y"
3y
or
3*y
8.74\times3.15
27.531
9168 divide 12
764
492 divide 0.1
492 divide 0.01
492 divide 0.001
4,920
49,200
492,000
Estimate the product of 13.81 and 0.5
14 times 1 = 14
Write the following algebraic expression as a word phrase:
9m
The product of 9 and a number m
or
9 groups of some number m
or
9 multiplied by a number m
12.84 * 0.023
0.29532
349.44\div42
8.32
3.141 divide 1000
0.003141
Daniel weighs 16.84 pounds of starfruit on the store's weight scale. If each pound of starfruit costs about $2.21, about how much does Daniel pay for the starfruit?
16.84 pounds is rounded to 17 pounds and $2.21 is rounded to $2.
17 times $2 = $34
Write the following word phrase as an algebraic expression:
"The quotient of a number and 6"
n/6
or
n divide 6
2382.12*3.7
8813.844
3.912 divide 0.12
Make the divisor into a whole number by moving the decimal 2 places to the right. Then move the decimal in the dividend 2 places to the right as well.
Now you have
391.2 divide 12 = 32.6
Lisa wants to cut a 13.4 ft piece of yarn into 10 equal pieces. What will the length of each piece of yarn be?
13.4 divide 10 = 1.34
Cutting something into 10 pieces means each of those pieces will be SMALLER than the original.
Estimate.
381.09 times 56.51
381.09 is rounded to 381 and 56.51 is rounded to 57 (Whole numbers without decimals)
381 times 57 = 21,717
Write the following algebraic expression as a word phrase:
24/x
"The quotient of 24 and a number x"
or
"24 divided by some number x"
Daniel weighs 16.84 pounds of starfruit on the store's weight scale. If each pound of starfruit costs about $2.21, how much does Daniel pay for the starfruit?
(Round your final answer to the nearest cent)
16.84 * $2.21 = $37.2164
So $37.2164 rounded to the nearest cent is
$37.22
.0935\div.011
We must move the decimal point 3 places to the right (so that the divisor is a whole number), so our problem becomes
93.5\div11=8.5
Fred makes $4225 a month and uses a quarter (0.25) of it to pay off his rent. How much of his money does he use to pay rent?
(What does the word "of" mean in math?)
$4225 * 0.25 = $1056.25
Benyamin makes $2354 in the summer working for a camp. If he wants to give a tenth (0.1) of the money he made in the summer to charity, how much money does he give to charity?
BONUS +100
How much will he have left after giving this money to charity?
$2354 * 0.1 = $235.40
Then $2354 - $235.40 = $2118.60
Estimate the quotient:
342.12 divide 8.73
342.12 can be rounded to 342 and 8.73 can be rounded to 9
342 divide 9 = 38
OR 342.12 can be rounded to 340 and 8.73 can be rounded to 10
(BOTH ARE ACCEPTABLE ON THE TEST)
340 divide 10 = 34
Evaluate the expression 4p if p = 1.2
4p = 4*p = 4*1.2=4.8
Which costs more, 7 lb of beef at $3.25 per pound or 12 lb of chicken at $1.79 per pound? How much more?
The 7 lb of beef costs:
7\cdot 3.25=22.75
The 12 lb of chicken costs:
12\cdot1.79=21.48
So, the 7 lb of beef cost
22.75-21.48=1.27
more.
Yoni grew 13.68 inches in 12 months. On the average, how many inches did he grow per month?
13.68\div12=1.14
inches per month
Fred makes $4225 a month and uses a quarter (0.25) of it to pay off his rent. How much of his money does he use to pay rent?
$4225 * 0.25 = $1056.25