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Great Inheritance Mathematics Term A · Independent learning

Practice — Chapter 1

Consolidation target: Consolidate large-number notation and place-value multiplication/division in fresh applications.

Fresh problems from the immediately preceding lesson cluster. Show all work and attach correct units.

Consolidation questions

Consolidation questions 1 · place value

Write 801,050,008 in expanded form, including its nonzero place values.

Consolidation questions 2 · place value

In 501,080,002, what is the value of the digit 1 in the millions place?

Consolidation questions 3 · scaling

Calculate 67 × 10. Explain how the digit values change.

Consolidation questions 4 · scaling

Calculate 35 × 10. Explain how the digit values change.

Consolidation questions 5 · division with remainder

Calculate 833 ÷ 10. Give a whole-number quotient and remainder.

Consolidation questions 6 · division with remainder

Calculate 6,569 ÷ 100. Give a whole-number quotient and remainder.

Consolidation questions 7 · round-number multiplication

Calculate 94 × 70 by factoring 70.

Consolidation questions 8 · round-number multiplication

Calculate 77 × 900 by factoring 900.

Consolidation questions 9 · equivalent quotient

Find 3,920 ÷ 70. Explain which shared factor can be removed.

Consolidation questions 10 · equivalent quotient

Find 89,100 ÷ 900. Explain which shared factor can be removed.

Representation and explanation

Use Consolidation Questions 1 and 2 above (not two questions of your choice). For Question 1 draw a place-value chart with zeros in their correct columns. For Question 2 draw a place-value chart with zeros in their correct columns. Label all quantities, include physical measurement units when they are part of the question, show which operation your model proves, and check the answers by an inverse calculation or a size estimate.