SPARK

Expand each number: 4,286

NO SPACES

Answer explanation

To expand 4,286, break it down by place value: 4,000 (thousands), 200 (hundreds), 80 (tens), and 6 (units). Thus, the correct expansion is 4,000+200+80+6.

Expand each number: 52,518

NO SPACES

Answer explanation

To expand 52,518, break it down into its place values: 50,000 (five ten-thousands), 2,000 (two thousands), 500 (five hundreds), 10 (one ten), and 8 (eight ones). The correct expansion is 50,000+2,000+500+10+8.

Lea says 28 is 4 times greater than 7. Write 4 related equations (2 multiplication and 2 division) that show that relationship.

• 4÷7=28

  7÷4=28

  28x7=4

  28x4=7

• 28÷7=4

  28÷4=7

  4x7=28

  7x4=28

• 28 is 7 times greater than 4

  28 is 4 times greater than 7

• 4+4+4+4+4+4+4=28

  7+7+7+7=28

Answer explanation

Lea's statement means 28 is 4 times 7. The equations 4x7=28 and 7x4=28 show multiplication, while 28÷7=4 and 28÷4=7 show division, confirming the relationship.

Expand each number: 5,374

Answer explanation

To expand the number 5,374, break it down into its place values: 5,000 (thousands), 300 (hundreds), 70 (tens), and 4 (ones). Therefore, the correct expansion is 5,000 + 300 + 70 + 4.

Expand each number: 26,843

Answer explanation

To expand 26,843, break it down by place value: 20,000 (20 thousands), 6,000 (6 thousands), 800 (8 hundreds), 40 (4 tens), and 3 (3 ones). Thus, the correct expansion is 20,000 + 6,000 + 800 + 40 + 3.

42 is 7 times greater than 6. Write 4 related equations (2 multiplication and 2 division) that show that relationship.

• 
  7÷6=42

  6÷7=42

  42x7=6

  42x6=7

• 
  42 is 7 times greater than 6

  42 is 6 times greater than 7

• 
  42÷6=7

  42÷7=6

  6x7=42

  7x6=42

• 
  7 is 6 times greater than 42

  6 is 7 times greater than 42

Answer explanation

The correct equations show the relationship of 42 being 7 times greater than 6: 42 ÷ 6 = 7 (how many 6s in 42), 42 ÷ 7 = 6 (how many 7s in 42), 6 x 7 = 42, and 7 x 6 = 42.

Josh says 54 is 9 times greater than 6. Write 4 related equations (2 multiplication and 2 division) that show that relationship.

• 6x9=54

  9x6=54

  54÷9=6

  54÷6=9

• 6+6+6+6+6+6+6+6+6=54

  9+9+9+9+9+9=54

• 54 is 9 times greater than 6

  54 is 6 times greater than 9

• 54=9x6

Answer explanation

Josh's statement means 54 is the product of 6 and 9. The equations 6x9=54 and 9x6=54 confirm this. The division equations 54÷9=6 and 54÷6=9 show the inverse relationship, verifying that 54 is 9 times greater than 6.

Decompose into unit fractions using repeated addition: 3/4

Answer explanation

To decompose 3/4 into unit fractions using repeated addition, we can express it as 1/4+1/4+1/4

Decompose into unit fractions using repeated addition: 5/7

NO SPACES

Answer explanation

To decompose 5/7 into unit fractions using repeated addition, 1/7+1/7+1/7+1/7+1/7

40 is 5 times greater than 8. Write 4 related equations (2 multiplication and 2 division) that show that relationship.

• 40x5=8

  5x8=40

  40x8=5

  40x5=8

• 40÷5=8

  5÷8=40

  40÷8=5

  40÷5=8

• 5÷8=40

  8÷5=40

  40x8=5

  40x5=8

• 5x8=40

  8x5=40

  40÷8=5

  40÷5=8

Answer explanation

The correct equations show the relationship: 5 times 8 equals 40 (5x8=40), 8 times 5 also equals 40 (8x5=40), dividing 40 by 8 gives 5 (40÷8=5), and dividing 40 by 5 gives 8 (40÷5=8).