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Math 7 Name: HOMEWORK 3.1 Express each power as a product of the same factor 1) 64 2) 37 3) 73 Write each expression in exponential form 4) 4 · 4 · 4 · 4 · 4 · 4 5) 1 · 1 · 1 · 1 · 1 6) (–10)(–10)(–10) 7) (14)(14) Evaluate 8) 5² 9) (–6)² 10) Find the square of each number 7 13 –11 a 4 –6 14 10.5 11) Circle the numbers that are perfect squares 6 8 36 49 55 64 73 100 122 169 Put the following numbers in ascending order: 12) 78%, 7.8 × 10−2 , 4 , (0.3)² 5 1 13) 225%, 2.2 × 102 , 22 , 2² Using the numbers 5, 3, and 4, write an example of the Commutative Property of Addition _________________________________________________ Using number 7, write an example of the Multiplicative Inverse Property _________________________ HOMEWORK 3.1 14. Find each square root √144 −√144 √−144 √25 √−9 −√100 √256 √−4 ±√196 √225 −√169 √1 15. Solve each equation d² = 400 x² = 289 n² = 121 16. Find the two consecutive whole numbers between which the square root of a given number lies. Then circle the nearest integer. √12 _______ _______ √96 _______ _______ √110 _______ _______ √3 _______ _______ √170 _______ _______ √55 _______ _______ 17. Compare the following numbers using <, >, or = . 15 _____ √225 √625 _____ 2 × 101 502% ______ √16 11² _______ 1.21 × 103 18. Order the following numbers in ascending order. 1.5 × 10−2, 15%, √15 , 1 2 19. A marching band wants to form a square in the middle of the field. If there are 225 members in the band, how many should be in each row? 20. If the area of a square is 529 square inches, what is the length of a side of the square?