Math Problem Statement

Fill in the blanks for a series of mathematical problems involving division, multiplication, and conversions, as shown in the image.

Solution

Here are the answers for the provided questions:

  1. 96÷6=60÷___+___6=___+___=___96 \div 6 = 60 \div \_\_\_ + \_\_\_ - 6 = \_\_\_ + \_\_\_ = \_\_\_

    • 96÷6=1696 \div 6 = 16
    • 60÷15=460 \div 15 = 4
    • 16+46=1416 + 4 - 6 = 14

    Answer: 96÷6=60÷15+166=14+0=1496 \div 6 = 60 \div \mathbf{15} + \mathbf{16} - 6 = \mathbf{14} + \mathbf{0} = \mathbf{14}.

  2. 605÷6=___+6+___605 \div 6 = \_\_\_ + 6 + \_\_\_; so, Quotient = ___, Remainder = ___

    • 605÷6=100×6+5605 \div 6 = 100 \times 6 + 5, Quotient = 100100, Remainder 55

Complete your draftComplete Solutions

  1. 605÷6=100+6+5605 \div 6 = 100 + 6 + 5; so, Quotient = 100100, Remainder = 55.

  1. Each child will get ___\_\_\_ oranges when 72 oranges are divided equally among 9 children.
    • 72÷9=872 \div 9 = 8
    • Answer: Each child will get 8 oranges.

  1. On dividing 634 by 10, we get ___\_\_\_ as the quotient and ___\_\_\_ as the remainder.
    • 634÷10=63634 \div 10 = 63 remainder 44
    • Answer: Quotient = 63, Remainder = 4.

  1. 98÷12=___98 \div 12 = \_\_\_
    • 98÷12=898 \div 12 = 8 remainder 22
    • Answer: Quotient = 8, Remainder = 2.

  1. There are ___\_\_\_ km in 5000 m.
    • 5000÷1000=55000 \div 1000 = 5
    • Answer: 55 km.

  1. 45m×7=___45m \times 7 = \_\_\_
    • 45×7=31545 \times 7 = 315
    • Answer: 315315 m.

Would you like further clarifications or any additional explanations?


Related Questions:

  1. What is the significance of remainders in division problems?
  2. How do we convert meters to kilometers in general?
  3. How can the distributive property simplify multiplication problems like 45×745 \times 7?
  4. Why is the concept of quotient important in arithmetic and real-world applications?
  5. How would these operations change if decimals were introduced instead of integers?

Tip: Always double-check division problems for remainders to ensure accuracy!

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Math Problem Analysis

Mathematical Concepts

Division
Multiplication
Remainder Calculation
Metric Conversion

Formulas

Division formula: Dividend ÷ Divisor = Quotient + Remainder
Metric conversion: 1 km = 1000 m

Theorems

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Suitable Grade Level

Grade 4-5