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Name___________________ DSPM 0700 HOMEWORK (ASSIGNMENT 2, SECTIONS 1-2 THROUGH 1-3) Write the following expressions as multiplications (e.g., 32 3 3 ). Then evaluate the expression:
- 132 132 13 13 169 (The exponent means that the base is taken as a factor that many times)
- 35 35 3 3 3 3 3 243
- (^) 1.5^3 1.5^3 1.5 1.5 1.5 3.
- (^) 6.1^2 6.1^2 6.1 6.1 37. Evaluate the following:
- (^225) 225 15 (The square root of a number is the number whose square is the original number; (^152) 225 )
- (^441) 441 21
1.96 1.- (^) 125. 125.44 11.
Multiply or divide using the powers of 10. Use the shortcut method:
- 1,361^ ^100 1,361 100 136,100 (^) (Add two zeros, or move the decimal point two places to the right—with a whole number, decimal point is assumed to be at the right)
- 3, 600, 000^ 10, 000 3, 600, 000 10, 000 (^360) (Drop four zeros, or move the decimal point four places to the left)
- 0.0075^ 10, 000 0.0075 10, 000 75
- 23, 079^ 10, 000 23, 079 10, 000 2. Use the order of operations to simplify the following:
- 23 12 7 23 12 7 8 12 7 (Exponentiation. Perform only the operation in this step and carry the other elements for the ride) 20 7
(Addition. When two operations of the same precedence appear, perform them from left to right) 13 (Subtraction)
- 25 52 (7 2) 25 52 (7 2) 25 52 5 (Perform operation in parentheses) 25 25 5 (Exponentiation) 25 5 (Division) 20 (Subtraction)
10.5 cm 18 cm 9 cm When you have a parallelogram, you have three dimensions, but only two are used in the formula. 2 2 ( 18, 10.5, 9) 2(18) 2(10.5) 36 21 57 cm
P b s b s h 2
162 cm
A bh
18 ft. 7 ft. This figure is a rectangle. Opposite sides of a rectangle are equal in length. 2 2 2(18) 2(7) 36 14 50 ft.
P l w 2
126 ft
A lw
