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Addition Subtraction Problem Solving

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Addition Subtraction Problem Solving

Estimate first where asked. Show your calculations and check your answers using the inverse operation.

Estimate, then calculate

Round each number to the nearest 100 when estimating.

1.On a train trip, 368 passengers board at one station and 247 board at the next. Estimate the total by rounding to the nearest 100, then calculate the exact total.

2.A train carried 684 people in the morning and 359 people in the afternoon. About how many more people travelled in the morning? Round both numbers to the nearest 100 to estimate, then find the exact difference.

3.Talia saved $176 for a train adventure and Wiremu saved $239. Choose the closest estimate of their combined savings.

About $300
About $400
About $500

Use addition and subtraction to check

4.Freya works out 387 + 268 = 645. Check her result by subtracting one addend from the total. Is her addition correct?

5.A train station starts the day with 735 travel brochures and gives 189 away. How many brochures remain? Check your subtraction by adding the number remaining to 189.

6.Two train carriages have 438 seats and 376 seats. Which carriage has more seats, and how many more seats does it have?

Solve a journey problem

7.At three stations on a train route, 276, 184 and 329 passengers board. Estimate the total by rounding each amount to the nearest 100, then calculate the exact total. How much higher or lower is your estimate than the exact total?

8.A train has 820 tickets available. It sells 276 tickets before midday and 189 more later in the day. How many tickets are left? Show a calculation and check by adding the tickets left to the number sold.