Worksheet: Expanded Notation

In this worksheet, we will practice writing a number in expanded notation and vice versa.

Q1:

Complete the following: 3 , 4 7 1 = + 4 0 0 + 7 0 + 1 .

Q2:

Complete the following: 1 7 4 = 1 0 0 + + 4 .

Q3:

What does 8 0 0 + 9 0 + 2 equal?

Q4:

Complete the following: 5 , 0 1 6 = .

  • A 5 , 0 0 0 + 6 0 + 1
  • B 6 , 0 0 0 + 5 0 0 + 1 0
  • C 6 , 0 0 0 + 1 0 0 + 5
  • D 5 , 0 0 0 + 1 0 + 6

Q5:

Find 7 , 0 0 0 + 4 0 0 + 7 8 .

Q6:

Which of the following equals 7 5 + 6 + 6 h u n d r e d s t e n s u n i t s ?

  • A 7 , 0 0 0 + 6 0 + 6
  • B 7 0 0 + 1 1 0 + 6
  • C 5 , 0 0 0 + 7 0 0 + 6 0 + 6
  • D 7 , 0 0 0 + 5 0 0 + 6 0 + 6

Q7:

Use the given table to complete the following: + + = .

Hundreds Tens Units
8 1 7
  • A800, 1, 70, 871
  • B8, 10, 700, 718
  • C80, 100, 7, 187
  • D800, 10, 7, 817

Q8:

Express 42 in the form 𝑡 × 1 0 + 𝑢 .

  • A 4 2 = 2 × 1 0 + 4
  • B 4 2 = 4 × 1 0 + 1
  • C 4 2 = 5 × 1 0 + 2
  • D 4 2 = 4 × 1 0 + 2
  • E 4 2 = 3 × 1 0 + 4

Rewrite the above expression by substituting 10 with 9 + 1 .

  • A 4 2 = 4 × 9 + 4 + 2
  • B 4 2 = 4 + 1 + 9 + 2
  • C 4 2 = 4 × 9 + 4 + 4 × 2
  • D 4 2 = 4 × 9 + 2
  • E 4 2 = 4 × 9 + 1 + 2

Hence, state a condition for 42 to be divisible by 3.

  • AThe digit 4 is divisible by 3.
  • B 4 2 is divisible by 3.
  • C 4 + 2 is divisible by 3.
  • D 4 × 2 is divisible by 3.
  • EThe digit 2 is divisible by 3.

Which of the following expressions is the next step from our previous expression that shows that 42 is divisible by 3?

  • A 4 2 = 4 × 3 × 3 + 2 × 3
  • B 4 2 = 4 × 3 × 3 + 4 + 3
  • C 4 2 = 4 × 3 + 3 × 3 + 2 × 3
  • D 4 2 = 4 × 3 + 2 × 3
  • E 4 2 = 4 × 3 × 3 + 3 × 3

Q9:

Which of the following is equivalent to 795,418?

  • A 8 0 0 , 0 0 0 + 1 0 , 0 0 0 + 4 , 0 0 0 + 5 0 0 + 9 0 + 7
  • B 7 + 9 + 5 + 4 + 1 + 8
  • C 7 , 0 0 0 , 0 0 0 + 9 0 0 , 0 0 0 + 5 0 , 0 0 0 + 4 , 0 0 0 + 1 0 0 + 8 0
  • D 7 0 0 , 0 0 0 + 9 0 , 0 0 0 + 5 , 0 0 0 + 4 0 0 + 1 0 + 8

Q10:

Which of the following is equivalent to 24 pounds?

  • A20 pounds and 4 ten-pound notes
  • B4 pounds and 20 ten-pound notes
  • C2 pounds and 40 ten-pound notes
  • D4 pounds and 2 ten-pound notes

Q11:

Complete the following: 5 0 + 2 0 + 4 = + = .

  • A70, 50, 74
  • B70, 20, 74
  • C70, 24, 74
  • D70, 4, 74

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