Worksheet: Repeated Multiplication

In this worksheet, we will practice converting exponents to repeated multiplication expressions and how to evaluate them.

Q1:

What is 4 1 1 × 4 1 1 × 4 1 1 × 4 1 1 × 4 1 1 × 4 1 1 × 4 1 1 ?

  • A 4 1 1
  • B 4 1 1
  • C 7 1 1
  • D 4 1 1
  • E 2 8 1 1

Q2:

Write 5 × 5 × 5 × 5 using an exponent, and then find its value.

  • A 4 , 1,024
  • B 5 , 125
  • C 5 , 5
  • D 5 , 625

Q3:

There are nearly 3 5 species of monkeys on Earth. What is the value of 3 5 ?

Q4:

Shady scored points in a board game, and Adel scored points. Determine who won the game and by how many points.

  • AShady, 177 points
  • BAdel, 79 points
  • CAdel, 177 points
  • DShady, 79 points
  • EShady, 128 points

Q5:

Express 7 × 7 × 7 × 4 × 4 × 4 × 4 in exponential form.

  • A 7 + 4
  • B 7 + 4
  • C 7 4
  • D 7 4
  • E 7 4

Q6:

Which of the following is equivalent to 7 1 0 ?

  • A 7 7 7 7 7 1 0 1 0 1 0 1 0 1 0 1 0
  • B 7 7 7 7 1 0 1 0 1 0 1 0 1 0 1 0 1 0
  • C 7 7 7 7 7 7 1 0 1 0 1 0 1 0
  • D 7 7 7 7 1 0 1 0 1 0 1 0 1 0 1 0
  • E 7 7 7 7 7 7 7 1 0 1 0 1 0 1 0 1 0

Q7:

A football stadium has 1 6 4 seats, and a cricket stadium has 5 7 seats. Which stadium has more seats? How many more?

  • A the cricket stadium, 4 8 7 2 9
  • B the football stadium, 1 2 5 8 9
  • C the cricket stadium, 2 1 5 8 9
  • D the cricket stadium, 1 2 5 8 9
  • E the cricket stadium, 6 5 5 3 6

Q8:

If a library has 9 books, how many books are there?

  • A94 books
  • B 262,144 books
  • C49 books
  • D 6,561 books
  • E36 books

Q9:

The number of calories in one croissant can be expressed as 6 . Determine the whole number that represents 6 .

Q10:

If Sally zooms out three times on an interactive map, the scale is 1 0 3 times greater. Write this number in standard form.

Q11:

The sun is about 10 10 10 10 10 10 10 1 0 m i l e s away from the earth. Write the distance in exponential form and then evaluate it, giving your answer in millions of miles.

  • A 8 , 10.74 million miles
  • B 1 0 , 10 million miles
  • C 1 0 , 10 million miles
  • D 1 0 , 100 million miles
  • E 1 0 , 1 0 0 0 million miles

Q12:

The length of one sidereal day on Venus is 3 5 Earth days. Express this as a product and then evaluate it to find the number of Earth days in one sidereal Venus day.

  • A 5 3 = 1 5 Earth days
  • B 5 5 5 = 1 2 5 Earth days
  • C 5 5 = 2 5 Earth days
  • D 3 3 3 3 3 = 2 4 3 Earth days
  • E 5 5 5 5 5 = 3 1 2 5 Earth days

Q13:

Which of the following is a number between 8,000 and 9,000 that can be written as 𝑎 for whole numbers 𝑎 and 𝑏 ?

  • A 8,292
  • B 8,092
  • C 9,812
  • D 8,192
  • E 9,182

Q14:

Write three to the fourth power as a product of the same factor, and then determine its value.

  • A 3 × 4 , 12
  • B 4 × 4 × 4 , 64
  • C 3 × 3 × 3 × 3 × 3 , 243
  • D 3 × 3 × 3 × 3 , 81

Q15:

Which of the following sets of numbers has square roots between 7 and 8?

  • A62, 51, 65
  • B48, 50, 62
  • C48, 62, 65
  • D50, 62, 51
  • E48, 51, 65

Q16:

A single tusk that weighed about 2 pounds from an African elephant is the largest tooth ever recorded from any modern animal. About how many pounds did the tusk weigh?

Q17:

The given figure shows a pattern with a corresponding value for each of its elements. Determine the value that represents the twenty-sixth element in the pattern.

  • A 3 2 6
  • B 2 6 2 6
  • C 1 2 6
  • D 2 6 2
  • E 2 2 6

Q18:

The diameter of Mars is about kilometres. Express this as a product and then evaluate it to find the approximate diameter of Mars.

  • A kilometres
  • B kilometres
  • C kilometres
  • D kilometres
  • E kilometres

Q19:

Is it true that 3 < 1 ?

  • Ano
  • Byes

Q20:

Given that a cube has length, width, and height equal to 8 inches, write a multiplication expression for its volume and then write your answer in exponential form.

Hint: The volume of a cube is found by multiplying together the length, width, and height.

  • A 4 × 4 × 4 , 8
  • B 8 × 8 , 8
  • C 4 × 4 × 4 , 4
  • D 8 × 8 × 8 , 8
  • E 8 × 8 × 8 , 8

Q21:

An estimated 1 0 people live in Charleston, South Carolina. About how many people live in Charleston?

Q22:

Which of the following is equal to 3 2 ?

  • A5
  • B6
  • C8
  • D9
  • E32

Q23:

In a year, about 1 0 youths across the United States participated in projects to care for the Earth’s environment. What is 1 0 ?

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