Numbers & Place Value

Problem

One number, many addition expressions

A table splits 1400 by halving repeatedly. Row 1 is the whole 1400. Row 2 splits it into two equal cells (right cell 700). Row 3 splits each Row 2 number again into two equal cells (one cell shown as 350). Fill the blank cells so every row still sums to 1400.
1400 700 350
Base-ten numbersOperations
Your answer
How to solve
Strategy Look for a Pattern — Each row repeats the same rule — take a number and split it into two equal halves — so spotting that halving pattern down the table fills every blank, and the bar diagram makes the equal pieces visible.
1STEP 1

Row 2: halve 1400

Row 2 splits 1400 into two equal halves. Since 700 + 700 = 1400 matches the given right cell, the blank left cell is also 700.

700 + 700 = 1400
2STEP 2

Row 3: halve each 700

Row 3 halves each 700 from Row 2. Half of 700 is 350, matching the given cell, so all four cells are 350 and each blank is 350.

350 + 350 = 700
3STEP 3

Check the row total

The four equal cells of Row 3 must still cover the whole 1400. Adding the four 350s gives 1400, so the fill is consistent.

350 + 350 + 350 + 350 = 1400
Answer
Row 2 left cell = 700; Row 3 blanks = 350, 350, 350 (every row sums to 1400: 700+700, and 350+350+350+350).
Each row totals 1400 (700+700 = 1400 and 350+350+350+350 = 1400), and every split is into two equal halves, so the magnitudes halve correctly down the table (1400, 700, 350).
Takeaway

This only needs Grade 3 halving sense: each row just splits the number in half, so 1400 → 700 → 350!

  • Row 2: halve 1400
  • Row 3: halve each 700
  • Check the row total
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