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5. Complete these number sentences. Check each answer by substitution. a) \( 23405+\square=42000 \) b) \( \square+350000=500000 \) c) \( \square-45347=950000 \)

Ask by Beck Hampton. in South Africa
Feb 04,2025

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Answer

a) \( \square = 18,595 \) b) \( \square = 150,000 \) c) \( \square = 995,347 \)

Solution

Sure, let's complete each number sentence and verify the solutions by substitution. --- **a) \( 23,405 + \square = 42,000 \)** **Solution:** To find the value of the square: \[ \square = 42,000 - 23,405 = 18,595 \] **Check by Substitution:** \[ 23,405 + 18,595 = 42,000 \] --- **b) \( \square + 350,000 = 500,000 \)** **Solution:** To find the value of the square: \[ \square = 500,000 - 350,000 = 150,000 \] **Check by Substitution:** \[ 150,000 + 350,000 = 500,000 \] --- **c) \( \square - 45,347 = 950,000 \)** **Solution:** To find the value of the square: \[ \square = 950,000 + 45,347 = 995,347 \] **Check by Substitution:** \[ 995,347 - 45,347 = 950,000 \] --- Each solution satisfies the original equation when substituted back, confirming that the answers are correct.

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The Deep Dive

To complete these number sentences: a) For the first equation, \( 23405+\square=42000 \), we subtract \( 23405 \) from \( 42000 \): \( \square = 42000 - 23405 = 18595 \). Check: \( 23405 + 18595 = 42000 \). Perfect! b) In the second equation, \( \square+350000=500000 \), subtract \( 350000 \) from \( 500000 \): \( \square = 500000 - 350000 = 150000 \). Check: \( 150000 + 350000 = 500000 \). Spot on! c) For the last equation, \( \square-45347=950000 \), we add \( 45347 \) to \( 950000 \): \( \square = 950000 + 45347 = 995347 \). Check: \( 995347 - 45347 = 950000 \). Success!

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